There has been an ever-increasing need for soft, functional materials within areas of research such as soft robotics, flexible electronics, and wearable devices. These materials must be stretchable and/or flexible, thermally and electrically conductive, and robustly adhesive to a wide variety of substrates and surfaces. Over the past several decades, soft composites consisting of functional solid particles within an elastic matrix have been developed with the aim of achieving these properties. However, solid particulate fillers in elastomeric materials have various limitations which hinders the ability to achieve the aforementioned properties simultaneously. In this work, two novel approaches to developing soft conductive adhesives are introduced in an effort to solve mechanical, thermal, electrical, and adhesive trade-offs. The composites developed herein utilize liquid metal (LM) inclusions and a combination of LM with solid silver (Ag) flakes within deformable polymer matrices to maintain mechanical compliance while also achieving thermal and electrical functionality. Furthermore, adhesive properties of LM composites are enhanced through a chemical anchoring technique, while the composition and microstructure of LM-Ag composites are designed to control functional and adhesive properties. There are several demonstrations throughout which show the ability to robustly integrate the novel soft composites with rigid materials and electronic components for the creation of resilient and functional hybrid electronic systems. / Master of Science / There has been an ever-increasing need for soft, functional materials within areas of research such as soft robotics, flexible electronics, and wearable devices. These materials must be stretchable and/or flexible, thermally and electrically conductive, and robustly adhesive to a wide variety of substrates and surfaces. Over the past several decades, soft composites consisting of functional solid particles within an elastic matrix have been developed with the aim of achieving these properties. However, solid particulate fillers in elastomeric materials have various limitations which hinders the ability to achieve the aforementioned properties simultaneously. In this work, two novel approaches to developing soft conductive adhesives are introduced in an effort to solve mechanical, thermal, electrical, and adhesive trade-offs. The composites developed herein utilize liquid metal (LM) inclusions and a combination of LM with solid silver (Ag) flakes within deformable polymer matrices to maintain mechanical compliance while also achieving thermal and electrical functionality. Furthermore, adhesive properties of LM composites are enhanced through a chemical anchoring technique, while the composition and microstructure of LM-Ag composites are designed to control functional and adhesive properties. There are several demonstrations throughout which show the ability to robustly integrate the novel soft composites with rigid materials and electronic components for the creation of resilient and functional hybrid electronic systems. Fabrication and Characterization of Multifunctional Soft Composites for Hybrid Electronic Systems Tyler A. Pozarycki (GENERAL AUDIENCE ABSTRACT) Composites are materials which are made up of two or more components with characteristics that exceed their counterparts. Steel reinforced concrete is a common example, where the steel helps to reinforce the concrete while the concrete itself gives shape to the structure. One cannot exist without the other, as the steel alone would create a meaningless skeleton and the concrete alone would not be able to withstand weights of heavier objects such as vehicles. In recent years, soft composites have become an emerging paradigm. These materials are stretchable and flexible due to their main component typically being an elastomer, while their inner component can consist of various materials that give desired functionality. For example, iron particles can grant magnetic properties and carbon can allow the material to conduct heat and/or electricity. As a result, these materials have captured the interest of scientists and researchers in various fields such as robotics, electronics, and biomedicine. However, there exists a unique challenge in developing such a material for applications in these areas. That is, the material needs to possess three critical properties simultaneously: 1) it must be compliant to various surfaces, meaning it must assume complex shapes such as those found on the human body, 2) it must be able to efficiently conduct electricity and heat, and 3) it must be able to adhere, or stick strongly to a variety of surfaces and materials for assembly. Typically, solving this problem has been attempted by fabricating soft composites with inner components consisting of metallic and ceramic particles, powders, or flakes. However, the use of these materials within elastomers, gels, and the like often create a composite which falls short of the aforementioned requirements, as the rigid inner structure and soft outer material are uncomplimentary to each other. Additionally, silicone elastomers and other similar materials typically do not adhere to a wide variety of surfaces, which further complicates the problem. In this work, two novel materials are produced in an effort to solve these long-standing issues. The first utilizes room-temperature liquid metal (LM) as the inner component to preserve overall material integrity while also using a chemical anchoring process to adhere the composites to several plastics and metals. The second consists of a flexible epoxy (naturally adhesive material) which incorporates both LM and silver flakes to create an as-prepared thermally and electrically conductive adhesive. Both soft composites are shown integrated with rigid electronic components and other materials to demonstrate the feasibility of using the composites to fabricate hybrid electronic systems.

Statistical physics in soft matter systems, physical properties of bio-inspired systems and the mechanical manipulations of nano-systems have been studied using optical tweezers to form the basis of this doctoral Thesis. The first two chapters are on a general introduction about optical tweezers and detailed description of the setup used along with its calibrations. The next three chapters describe studies of statistical properties in soft matter systems, namely, out-of-equilibrium microrheology in a worm-like micellar system, irreversibility to reversibility crossover in the non-equilibrium trajectories of an optically trapped particle with the verification of fluctuation theorems even for non-ergodic descriptions of the system and high velocity Brownian vortexes at the liquid-air interface. The mechanical manipulation of the nano-systems, i.e. optically driven nano-rotors and the trapping, as well as transportation of palladium decorated single wall carbon nanotubes using optical tweezers have been discussed in the next two chapters. In the next chapter, the study of physical property of a bio-inspired system -the cell membrane deformability of human erythrocytes with increasing calcium ion concentration has been described. This Thesis is an endeavor to understand different mesoscopic systems using optical trapping and manipulation. Chapter 1 gives an introduction on optical tweezers. The working principle of optical trapping and manipulation are discussed along with their applicability in different fields of physics. Chapter 2 discusses the experimental setup in detail. The setup used for the experiments is a dual optical trap around an inverted microscope. The formation of the traps, the technique to steer the trapping beams and to place the traps at the desired positions in 3D without affecting the symmetry or stiffness are described. Instantaneous position tracking of the trapped particle is a very crucial part of optical trapping experiments. A tracking beam is used for this purpose and the trapped bead is imaged on a quadrant photo diode which provides the current signals that corresponds to the particle’s position in the focal plane. Then the calibration of the setup using various calibration methods are explained. Calibration of the setup includes the calibration of the position sensing devices, e.g. the quadrant photo diode and the CCD camera attached to the microscope, calibration of the electronic devices, e.g. the stage nano-positioner, nano-tilt mirror mount etc., and finally calibration of the trap stiffnesses (in both X and Y ) at varying laser powers. Precautions taken during the experiments to minimize the artifacts are also mentioned. In Chapter 3, a nonlinear microrheology experiment to probe directional viscoelasticity of a sheared worm-like micellar system has been described. Many wormlike micellar systems exhibit appreciable shear thinning due to shear induced alignment. As the micelles get aligned, introducing directionality in the system, the viscoelastic properties no longer remain isotropic. An optical tweezers based technique enables us to probe the out-of-equilibrium rheological properties of CTAT (cetyltrimethylammonium tosylate, cationic surfactant) system simultaneously along two orthogonal directions -parallel to the applied shear, as well as perpendicular to it. A trapped bead is dragged through the medium (1 wt% CTAT) and the position fluctuations of the bead, along the direction of motion (X) and perpendicular to it (Y ), are recorded in both ‘drive on’ and ‘drive off’ states. While the displacement of the bead along X -in response to the active drag force -carry signature of conventional shear thinning, its spontaneous position fluctuations along Y , following the fluctuation dissipation theorem, provide the loss modulus (G∗∗ along Y ) which manifests a dramatic orthogonal shear thickening, an effect hitherto unobserved. Chapter 4 describes an irreversibility to reversibility crossover in the transient response of a particle in optical trap; and the verification of the fluctuation theorem for a non-ergodic description of this system. The transient position fluctuations of a colloidal bead is studied as it approaches equilibrium after being released from varying heights (by using an additional very strong optical trap) in the potential energy landscape created by a weak optical trap. The time evolution of the system shows dramatic changes as the release point energy is decreased. Starting from a small-time-reversible to long-time-irreversible transition for a higher energy release, a time independent completely reversible state could be reached just by lowering the initial potential energy a bit. For an even lower energy release, the system shows an anomalous irreversibility. In this state, it progressively extracts useful work from the thermal fluctuations and surprisingly goes to a higher energy phase point. Highlighting the competition between the micro-reversibility and the irreversible dissipative loss in determining the long-time system behavior, this study exhibits the prominent emergence of a completely reversible state even at long time, in between the two irreversible states of opposite kind. The Transient Fluctuation Theorem (TFT) and the Integrated Transient Fluctuation Theorem (ITFT) which are defined to be valid only for ergodic systems, have been verified even for non-ergodic descriptions (separately for different release points) of this system. Chapter 5 illustrates the study of high velocity Brownian vortex at the liquid-air interface. A general kind of Brownian vortexes are constituted by applying an external non-conservative force field to a colloidal particle bound by a conservative optical trapping force at a liquid-air interface. As the liquid medium is translated at a constant velocity with the bead trapped at the interface, the drag force near the surface provide enough rotational component to bias the particle’s thermal fluctuations in a circulatory motion. The frequency of that circular motion increases linearly with the stage velocity, while an increment in the trapping laser power shows the opposite effect. The properties of these Brownian vortexes have been studied extensively to demonstrate how the thermal fluctuations and the advection of the bead play their role in the vortex motions, with an inference that the angular velocity of the circulatory motions offer a comparative measure of the interface fluctuations. In Chapter 6 the optical manipulation of asymmetric nanorods that constitutes optically driven nanorotors are described. The light force, irrespective of its polarization, is used to run a simple nanorotor. While the gradient force of a single beam optical trap holds an asymmetric nanorod, the scattering force is utilized to generate a non-zero torque on the nanorod making it rotate about the optic axis. The inherent textural irregularities or morphological asymmetries of the nanorods give birth to chirality which is responsible for generation of the torque under the radiation pressure. A farther study on nanorotors that are more transparent to infra-red (trapping beam) confirms that the scattering force is indeed the origin of the torque. A model is proposed to explain the rotational motion of the nanorods and estimate the speed of rotation. If the nanorods are not fairly transparent to the laser beam, even a small surface irregularity with non-zero chirality is sufficient to produce enough torque for moderate rotational speed. Different sized rotors can be used to set the speed of rotation over a wide range, with fine tuning possible through the variation of the laser power. Chapter 7 discuses optical trapping and transportation of palladium decorated single wall carbon nanotubes (Pd-SWNT). Individual carbon nanotubes being substantially smaller than the wavelength of light are not much responsive to optical manipulation. Decorating those single-walled carbon nanotubes with palladium particles changes that scenario dramatically, making the optical trapping and manipulation much easier. Palladium decorated nanotubes (Pd/SWNTs) have higher effective dielectric constant and are trapped at much lower laser power level with greater ease. In addition to that, an asymmetric line trap makes it possible to transport the Pd decorated SWNTs to a desired distant location in the sample cell. In the asymmetric line trap the Pd/SWNTs are first get attracted by the gradient force and then the scattering force push them away towards the other end of the line trap. In Chapter 8, how the rotational motion of crenated erythrocytes in an optical trap can be used to probe their membrane deformability is explained. When placed in a hypertonic buffer medium, discocytic human erythrocytes are subjected to crenation and take deformed shapes. The deformation of the cells brings in chirality and asymmetries in shape that make them rotate under the scattering force of a linearly polarized optical trap. A change in the deformability of the erythrocytes, due to any internal or environmental factor, is reflected in the rotational speed of the trapped crenated cells. Therefore the average rotational speed and the probability of rotation of the crenated erythrocytes in an optical trap can be considered as a direct signature of their membrane deformability. As an example, the relative increment in erythrocyte membrane rigidity with adsorption of Ca++ ions is examined quantitatively through this approach. The Thesis concludes with a summary of the main results and a brief discussion of the scope of future work in Chapter 9.

This thesis deals with the non-equilibrium phenomena under shear observed mainly in bilayer forming liquid crystalline phases of mixed surfactant systems, anisotropic colloidal dispersions as well as Langmuir monolayers of membrane peptides. To correlate the structural transitions under shear with the mechanical properties or flow behaviour, the rheological measurements are combined with different techniques such as optical imaging (bright field, polarizing or confocal), small angle light scattering as well as small angle x-ray scattering (Rheo-SAXS) measurements. The bilayer forming phases that have been studied consist of mixed surfactant system formed by a mixture of ionic amphiphiles with strong binding organic counter ions. The propensity of the hydrophobic counterion to modify the spontaneous curvature at the micelle-water interface gives rise to a rich equilibrium phase behaviour consisting of different bilayer forming liquid crystalline mesophases in between the hexagonal and lamellar phases. The liquid crystalline mesophases presently examined under shear are the weakly swollen isotropic and lamellar phases as well as the random and rhombohedral mesh phases. The main motivation of the thesis was to examine the stability of these phases under shear since all the existing studies so far on shear induced structural transitions are mainly confined to highly swollen isotropic sponge phase of interconnecting bilayers that can transform to a lamellar phase consisting of a stack of bilayers with 1D quasi long range order or a dilute lamellar phase is shear transformed to a collapsed surfactant rich lamellar phase coexisting with excess solvent at Peclet Number greater than 1. The present study revealed for the first time a shear reversible crystallization above the equilibrium crystallization temperature in the weakly swollen isotropic and lamellar phases formed in the SDS-PTHC-water system where the structural transition is feasible through a shear induced segregation/microphase separation of the hydrophobic counterions to tune the curvature of the bilayer-water interface. These results incited us to examine the role of shear on another class of mesophases that are structurally similar to lamellar phase but with a non-uniform interfacial curvature of the bilayers identified as the intermediate mesh phases. Mesh phases are formed by a 1D stack of perforated bilayers with quasi-long range order where the water filled pores or curvature defects can have a liquid-like ordering in the plane of the bilayers as in a random mesh phase or the pores can have a square or hexagonal ordering locking into a three dimensional lattice with either tetragonal or rhombohedral symmetry to form Tα or R3m ordered mesh phases. Two characteristic features of the mesh phases that is noteworthy are i) the non-uniform mean curvature for the bilayers formed by 3-coordinated hexagonal mesh or the 4-coordinated square mesh; ii) the elasticity of the bilayers forming the hexagonal or square ordered mesh in R3m or Tα phases as opposed to the fluid-like bilayers with zero surface shear modulus in the random mesh or classical lamellar phases (Lα). Hence the structural similarity as well as differences of the mesh phases with the lamellar phase raises some pertinent questions regarding the stability of surfactant mesh phases under shear. Two striking consequences of shear flow on the random and ordered mesh phases of a cationic-anionic mixed surfactant system were revealed: a shear-induced 3D ordering of the curvature defects in LDα phase as well as a hydrodynamic instability wherein a sequence of structural rearrangements leading to buckling instability gives rise to unstable flows in the R3m phase. These studies on shear induced structural transitions on partially ordered mesophases is juxtaposed with the study on another class of systems that were examined under shear comprising dispersion of anisotropic colloidal rods. We demonstrate that these suspensions shear thicken at low concentrations (≥ 25 %) and origin of shear thickening is formation of stress bearing hydrodynamic clusters rather than order-disorder transition. Finally we also examine the rheological properties of a monolayer of membrane peptide Alamethicin where the coexistence of solid-like domains in a backround of liquid expanded phase at high surface concetrations gives rise to a dense anisotropic suspension in 2D. The rheological properties of these jammed fluid/fluid interfaces formed by membrane proteins is well explained by the soft glassy rheology model proposed earlier in the context of 3D soft glasses, comprising emulsions, foams, colloidal glasses and gels. Chapter 1 starts with a general introduction of soft condensed matter systems and then we proceed to describe surfactant systems, their phase behaviour and self assembly. The formation of liquid crystalline phases in pure surfactant systems and in presence of additives such as salt or counterions are discussed. A brief introduction to colloids is explained further. This is followed by the discussion on the inter-macromolecular forces governing soft matter systems such as van der Waals interaction, the screened Coulomb repulsion, hydrogen bond, depletion, peristaltic, hydrophobic and hydration forces and steric repulsion. We further explain the systems studied and their phase behaviour at different concentrations formed by SDS-PTHC-water, CTAB-SHN-water system in detail. In the next section we describe the characterization of different liquid crystalline phases viz. nematic, hexagonal, isotropic, lamellar, intermediate mesh and ribbon phases using cross polarizing optical microscopy, small angle x-ray and rheology. Then, a theoretical background of linear and nonlinear rheology, optical/confocal microscopy and x-ray scattering techniques are given. This is followed by discussion on flow properties of colloidal suspensions in dilute and semi-dilute regime and finally shear thickening phenomena observed in concentrated suspensions. We discuss shear thickening phenomena observed in anisotropic precipitated calcium carbonate (PCC) colloids. We have also discussed shear induced phase and structural transitions observed in different liquid crystalline phases. Chapter 2 discusses the experimental apparatus and techniques used in our studies. We have discussed the different components of the MCR-300 and 101 stress-controlled rheometer (Paar Physica, Germany). The cross polarizing optical microscopy in transmission and reflection mode using a home-made shear cell and in built set-up respectively, and small angle light scattering set-up are discussed. Next, we discuss in-situ small angle x-ray rheology setup, a home made Couette cell installed at RRI Bangalore, Couette installed at SWING beamline Soleil, Paris, France and parallel plate setup at PETRA III, Germany. This is followed by discussion on sample preparation and synthesis technique of silica colloidal rods and modification of surface potential using a thermo-responsive polymer. Further, we explain the algorithm to track rods and analysis of SAXS 2D diffraction pattern. Flow behaviour of different phases formed in SDS-PTHC-water system are described in Chapter 3. This chapter has been divided into four sections. In section I, we describe the phase behaviour and rheology of micellar solution at different surfactant concentrations (ϕ) and molar ratios (α = [PTHC]/[SDS]) of two components. At ϕ = 0.3, a transition from viscous to visco-elastic behaviour is observed with increasing α from 0 to 0.3. Zero shear viscosity shows a non-monotonic behaviour with increasing α and reveals a maxima at α = 0.15. At low α, we observe a Newtonian behaviour which changes to shear thinning behaviour with increasing α and finally again retains the Newtonian behaviour. Dynamic light scattering studies in conjunction with presence of nematic phase made up of disks (confirmed by cross-polarizing optical microscopy) at higher α > 0.325, suggest that the drop in zero shear viscosity is due to decrease in length of the micelles from rods to disks. A similar behaviour is observed with increasing ϕ at constant α = 0.2, 0.25, 0.6. A change in the morphology of micellar aggregates with increase in α is expected in mixed surfactant systems with strongly binding counterions. However the change in morphology of micellar aggregates with surfactant content in surprising which is witnessed for the first time in mixed surfactant systems. In section II of this chapter we discuss the phase behaviour and rehological properties of different liquid crystalline phases formed in SDS-PTHC-water system at ϕ = 0.4, and varying α from 0 to 0.4. Using deutrium nuclear magnetic resonance (NMR) studies we show that the transition from hexagonal phase at α = 0, to lamellar phase at α = 0.4 occurs through a nemtaic phase of rods at α = 0.05 and nemtaic phase of disks at α = 0.2 through an isotropic phase of rods at α = 0.15. NMR studies reveal a decrease in variation of the quadrupole splitting across the transition from NC to ND. The visco-elastic and flow behaviour of the different phases were examined. A decrease in the steady shear viscosity across the different phases with increasing α suggests a decrease in the aspect ratio of the micellar aggregates. From the transient shear stress response of the NC and ND nematic phases in step shear experiments, they were characterized to be tumbling and flow aligning, respectively. Our studies reveal that by tuning the morphology of the surfactant micelles, strongly binding counterions modify the phase behaviour and rheological properties of concentrated surfactant solutions. In section III, we discuss shear induced phase transition in SDS-PTHC-water system using in-situ rheo-optical imaging and in-situ rheo-SAXS. Bilayer forming liquid crystalline phases namely isotropic (Li - optically isotropic) and lamellar (Lα - optically birefringence) are formed at α = 1.5, ϕ = 0.4 and α = 1, ϕ = 0.5. Both phases co-exist with excess solvent and remain fully swollen at temperature T > 50 oC. We have constructed a dynamic phase diagram in the parameter space of shear rate and temperature which demonstrate a novel shear induced phase transition to a crystalline phase (Lc) above a critical shear rate. At constant shear rate, the increase in viscosity is accompanied by presence of birefringent texture of Lα phase after a waiting time (t) which decreases with increasing shear rate. The Lc phase is stable under shear and melts back to equilibrium Li phase once shear is stopped. At higher temperature a transition from Li → Lα is observed. In-situ small angle x-ray scattering reveals an evolution of additional peaks in small as well as wide angle region which does not evolve any further once the viscosity reaches a maxima. The Lc phase obtained under shear at different shear rates can be indexed to a triclinic lattice with the lattice parameters depending on shear rates. We propose that the possible origin of phase transition is re-distribution of counterions under shear which results in counterion-rich and counterion-poor region. This counterion rich region results in crystalline Lc phase. In addition to revealing a unique class of non-equilibrium phase transition, the present study urges a unique approach toward understanding shear-induced phenomena in concentrated meso-phases of mixed amphiphilic systems In section IV we propose a shear induced nucleation and growth of crystalline phase in metastable bilayer forming Li and Lα phases. Nucleation and growth of crystalline phase ac-celerated by shear exhibits a power law dependence on time. The time of nucleation strongly depends on the shear rate with different exponents for different phase compositions. The crystalline phase formed under the influence of shear is stable and irreversible for tempera-ture < 28 oC. The crystal structure obtained under shear can be indexed to a triclinic unit cell with different lattice parameters depending on the shear rate and concentration probed. In Chapter 4, we discuss shear induced transitions observed in mesh phases formed in cationic surfactant system CTAB in the presence of strongly binding counterions SHN formed at different surfactant concentration (ϕ) and molar ratio (α). Random mesh phase (LDα) formed at ϕ = 0.3, 0.4, 0.5 and α = 1 are identified as stack of bilayers having curvature defects in form of water filled pores in the plane of bilayers . These pores do not have any long range correlation either in-plane or across the plane. A 3D ordered mesh phase (R3m) is formed at α = 1 and ϕ = 0.6, where these pores have in-plane and out of plane positional correlation and locked into a 3D lattice with rhombohedral symmetry. These phases are easily identified from small angle x-ray scattering studies wherein LDα a diffuse peak corresponding to in-plane defect spacing (ddef ) is observed along with lamellar d-spacing (d). However several additional peaks along with lamellar peak are observed for R3m phase revealing a long range correlation of pores. By shearing different LDα phases formed at different ϕ′s, we D phases formed probe the effect of shear far and near to the R3m phase boundary. When Lα at ϕ = 0.3 and 0.4 are sheared at constant shear rate, we observe a structural transition to an onion phase which is accompanied by increase in viscosity at the onset of the transition. D When Lα phase formed near R3m phase at ϕ = 0.5 is sheared, we observe a decrease in viscosity which is accompanied by the presence of a sharp peak near the diffuse peak corresponding to ddef along with several other small as well as wide angle peaks. All these D phase. We propose that peaks can be indexed to R3m phase co-existing with equilibrium Lα the locking of the defects into a 3D lattice occurs when the in-plane correlation length (ddef ) is larger than the bilayer periodicity (d). Prior to appearance of sharp peak near ddef , we observe an a-orientation of lamellae i.e. bilayers align along the shear-gradient plane where shear is likely to increase the length of cylindrical arrays or rods. A shear driven increase in the length of the rods implies a larger radius of this in-plane circle forming the pores, leading to a lower curvature and consequently a lower curvature energy. This increase in average size of the pores under shear favored by the lower curvature energy is expected to increase the in-plane as well as the trans-bilayer correlation length of the defects. The Lα → R3m phase transition is also observed in another system cetylpyridinium chloride (CPCl)-SHN-water. Thus this type of transition is general feature of random mesh phases when sheared near R3m phase in the equilibrium phase diagram. A thixotropic behaviour with yield stress (σy = 500 Pa, is observed when equilibrium R3m phase is sheared. When the shear stress crosses a threshold value of 1000 Pa, we observe an avalanche behaviour with drop in viscosity of more than 4 orders of magnitude. This drop is accompanied by appearance of several sharp peaks which can be indexed to two or three R3m phases. The similar transition is observed under shear in R3m phase formed in CPCl-SHN-water system. We propose that shearing a 3D ordered lattice of defects as in the R3m phase leads to additional structural transitions, though the rhombohedral symmentry is retained. In Chapter 5, we discuss shear thickening observed in colloidal rods. Using rheology combined with microscopy, we demonstrate that origin of shear thickening in colloidal rods is the formation of hydroclusters and not order-disorder transition. We observe continuous (CST) as well as discontinuous shear thickening (DST) at volume fractions of colloidal sus-pension at 25 % and > 30 % respectively. In DST, in controlled stress measurements, flow curve exhibits an S-shaped flow curve (stress vs. shear rate) where we observe a negative slope in shear thickening regime. By combining fast confocal microscopy with rheometer (parallel plate geometry), we investigate the possible mechanism for shear thickening in our suspension and rule out order-disorder transition. This indicates that the shear thickening might be a consequence of formation of hydroclusters which is confirmed by modifying sur-face properties of these colloids where a thermo responsive microgel PNIPAM was used as a shell to the silica core. The advantage of using PNIPAM is that the polymer brush remains fully swollen below the lower critical solution temperature (LCST) and shrinks above the LCST (34 oC) acting as hard particles. Thus by controlling the temperature, the interparticle separation can be tuned. We observe a pure shear thinning and shear thickening behaviour below and above LCST respectively. We show that by changing the interparticle separation we can avoid hydrocluster formation arsing due to the hydrodynamic lubrication forces re-sponsible for the shear thickening. The calculation the order parameter and measurements on core-shell particles illustrate that microscopic origin of shear thickening is the formation of hydroclusters and not order-disorder transition. Chapter 6 deals with the 2D interfacial rheology of antibiotic alamethecin film at air-water interface. Fluorescence microscopy of alamethicin monolayers revealed a coexistence of liquid expanded (LE) and solid phases at the surface concentrations studied. Interfa-cial oscillatory shear measurements on alamethicin monolayers indicate that its viscoelastic properties are determined by the area fraction of the solid domains. The role of zwitterionic phospholipids dioleoylphosphatidyl choline (DOPC) and dioleoylphosphatidyl ethanolamine (DOPE) on the peptide aggregation behaviour was investigated. Fluorescence microscopy of alamethicin/phospholipid monolayers revealed an intermediate phase (I) in addition to the solid and LE phase. In mixed monolayers of phospholipid (L)/alamethicin (P), with increase in L/P, the monolayer transforms from a viscoelastic to a viscous fluid with the increase in area fraction of the intermediate phase. Further, a homogeneous mixing of alamethicin/lipid molecules is observed at L/P>4. Our studies also confirm that the visco-elasticity of alame-thicin/phospholipid monolayers is closely related to the alamethicin/phospholipid interac-tions at the air-water interface.

Due to their diversity, soft matter systems provide a convenient platform to study a variety of physical phenomena like phase transitions and collective motion. Encompassing a wide range of equilibrium and non-equilibrium systems, they often provide significant insight into the statistical mechanics of different kinds of many-body systems. Though large scale properties of such systems are of fundamental interest in their own accord, since most experimental realizations of soft matter systems are finite sized, there is a growing need to understand the effects of confinement or boundary conditions on the collective behaviour of such systems. The primary purpose of this thesis is to study the effects of boundary conditions or confinement on both equilibrium and non-equilibrium soft matter systems via theoretical modelling. For equilibrium systems we have studied a system of colloidal particles in harmonic confinement, and for non-equilibrium systems we consider a system of self-propelled rods in both harmonic and hard wall confinement. In Chapter 1 we first lay down some basic concepts of stochastic dynamics and Brownian motion, before discussing some of the recent results on confinement effects on colloidal systems, showing how the properties of a finite sized colloidal system can be very different from those of large, un confined systems. Thereafter turning to non-equilibrium active systems, we discuss various fundamental problems posed by these systems due to their unique ability to generate and dissipate energy on their own. We also point out some instances of observed confinement effects in such systems, such as boundary aggregation and transient hedgehog-like clusters near the boundary. Chapter 2 deals with the effect of harmonic confinement on a finite sized colloidal assembly, where we show that such finite size effects coupled with a confining potential can give rise to special features like initial position dependent expulsion of dopant particles. First we model experimentally studied small two-dimensional colloidal assemblies trapped by a defocussed laser beam by Langevin dynamics simulations in the presence of harmonic confinement and demonstrate how the system shows a crossover from liquid state to crystalline state as a function of the stiffness of the confinement. We also show that in the crystalline state the system can be effectively modelled as a rigid body under small force perturbations. Notably, while studying the dynamics of a defect particle inside these crystallites, we found evidence for the occurrence of self purification by the crystallites. In this process, a dopant is spontaneously expelled out of the crystallite. Surprisingly, this phenomena has a strong dependence on the initial position of the dopant, which turns out to be the consequence of the non monotonic spatial variation of the free energy of the system as a function of the dopant position. This is caused by a difference in the rate of change of internal energy and entropy with the dopant position, with the entropy decreasing faster when the dopant is closer to the centre. This can be attributed to the amount of disruption of crystalline order in the assembly due to the incommensurate dimensions of the defect particle. In order to put these results in a general perspective, we verify in the last part of this chapter that the presence of this free energy barrier is independent of the exact functional forms of the confining potential and the interaction of a defect particle with the host particles, as well as the shape and size of the defect particle. Moving to non-equilibrium systems, we consider, in Chapter 3, the effect of harmonic and hard wall confinement on a two-dimensional system of self-propelled rods (SPRs). Though there have been very limited studies of confinement effects on such systems, existing studies are adequate to show that their behaviour near a boundary wall can be very different, e.g. formation of hedgehog like clusters near a boundary wall. First we show that for harmonic confinement small systems show polar order, which decays with system size, eventually going away for large systems. But the effect of hard wall confinement turns out to be rather different, where the system shows isotropic and clustered states depending on the values of activity and density. We construct a complete activity-density phase diagram showing four distinct phases. For high density and high activity, the rods spontaneously arrange themselves into a stable vortex structure in which the rods exhibit global radial polar order. Surprisingly this order does not decay with system size: the radial orientation of the rods exhibit strong spatial correlation even in large systems, ruling out the possibility that the radial order is a finite-size effect. Using other geometrical shapes of the hard wall boundary, we confirm this phase to be independent of the shape of the boundary. We also demonstrate how small modifications of the boundary conditions at the hard wall can collapse the clustered and vortex phases to a global flocking phase similar to that found in earlier studies of hydrodynamic active particles under confinement. Based on these observations, we conclude that the bulk of the system is strongly affected by the subjected boundary condition, which is rather unusual for large systems. In Chapter 4 this thesis concludes with a summary of the main results and suggestions for future work along similar lines