The detection for phase locking in a forced oscillator with dual attractors and ill-defined phase structure is hard until a quantitative approach was constructed for detecting phase locking via stroboscopic method. We study the route to weak phase locking in a chaotic system ¡§Chua oscillator¡¨ with complex attractor structure by analyzing the stroboscopic points. The onset of weak phase locking detected by using this statistical approach and the critical coupling strength calculated by conditional Lyapunov exponent are matched well. Detailed structure of phase locking intensity is described by the Arnold tongue diagram. Moreover, we apply this approach on three hyper-chaotic systems with multi-scroll attractor, including hyper-chaotic Rössler system, hyper-chaotic Lorenz system, and modified MCK oscillator. The weak phase locking between hyper-chaotic system and a periodic or a chaotic driving force is observable following the condition of stroboscopic point concentration.

The thesis uses an up-down conversion architecture to realize a wideband frequency synthesizer for digital video broadcasting (DVB) transmission system. At first, the theoretical analysis of this architecture is performed to understand the mechanism to suppress the phase noise in an optimal way. Then, the simulations using Matlab and ADS are carried out to predict the phase noise performance. Based on the above efforts, a 50 MHz ~ 1 GHz wideband frequency synthesizer hybrid circuit is implemented and its phase noise performance, corresponding to different choices of the reference sources, is finally discussed. The second part of this thesis is to extend the up-down conversion architecture to an offset phase-locked loop (PLL) architecture for wideband frequency synthesizers. The difference from the conventional offset PLLs is the phase locking of the signal at either the sum or the difference frequency of two voltage-controlled oscillators (VCOs) to the reference source for the purpose of wideband operation. The phase noise analysis of the proposed offset PLL architecture is provided. In the experiments, a 300 MHz ~ 3.6 GHz wideband frequency synthesizer hybrid circuit is implemented to verify the analyzed phase noise results. In addition, a CMOS wideband frequency synthesizer chip using the proposed offset PLL architecture has been realized. Moreover, another two CMOS wideband frequency synthesizer chips are included in this thesis. It is worth mentioning that the VCOs in these two frequency synthesizer chips use the switched capacitor and inductor techniques to achieve a wideband operation.

This study uses the Phase-field method to simulate the transient thermal current of the metal surface heated and molten by a massing energy. The flow field uses a two-dimension module, considered with the mass conservation equation, momentum equation, energy equation and level-set equation, to solve for the distribution in whole domain, including the interface, of temperature, velocity, pressure and level-set number. We ignore the effect of concentration diffusion, but consider about the effect of heat translation on the flow field. Finally the results will display the flows of air around molten area forced by buoyancy which is caused by high temperature, and the flows in molten area forced by thermocapillary which is caused by temperature gradient.

In this study, we researched three kinds of surface treatment (no surface treatment, homogeneous alignment (HA) and vertical alignment (VA)) effect for the optoelectronic properties of cholesteric blue phase liquid crystals (BPLCs). We demonstrate the surface treatments have influence on the temperature range of BPLCs. The VA-BPLC possesses the widest temperature range, about 6.0 ¢J. The temperature range of both no surface treatment BPLC and HA-BPLC are about 5.5 ¢J. In the process of cooling, the surface treatments will restrain the change of the pitch of BPLC. Besides, surface treatment will let the crystalline of BPLC shipshape, so that it can reduce the scattering of the reflection light of BPLC. In the vertical electric field, the reflection wavelength of BPLC will be red-shift when the applied voltage increased. The reflection wavelength of the HA-BPLC can be tuned about 90 nm. The reflection wavelength of the VA-BPLC can be tuned about 120 nm. We have demonstrated the treatment of vertical alignment will reduce the operating voltage of BPLC.

Blue phases have been known to exist in chiral liquid crystals between the cholesteric and isotropic phases. A blue phase as a self-assembled three-dimensional cubic structure with lattice periods of several hundred nanometers exhibits not only selective Bragg reflections of light in the visible wavelength but optically isotropy owning to its highly symmetric molecular structure. Locally, blue phases still exhibit local anisotropic physical properties because of anisotropic structure of the nematic liquid crystal molecules, which make it possible to be easily controlled by an external field. This dissertation studies the effects in blue phases under various external fields, including electrical field, optical field, and temperature. Firstly, we investigated the bistable effect under the influence of an electric field and transition mechanism between various lattice orientations in the negative liquid crystal blue phase. The blue phase exists over a wide temperature range ~16oC, and three lattices (110), (112) and (200) of BPI are confirmed with Kossel diagrams. The red platelet (110) lattice and blue platelet (200) lattice can be stabilized and switched to each other by particular pulse voltages. We also studied the behavior that an electric field induced planar state and electro-hydrodynamatic effect in the blue phase. Additionally, the reflected color of the (200) lattice can be adjusted from 455nm to 545 nm by temperature induced lattice distortions and provided with reversibility. Secondly, we presented an optically switchable band gap of a 3D photonic crystal that is based on an azobenzene-doped liquid crystal blue phase. Two kinds of azobenzene, M12C and 4MAB, were utilized to switch photonic band gap of blue phases and to change the phase transition temperature of blue phase, respectively. For M12C- doped liquid crystal blue phase, the trans-cis photoisomerization of M12C induced by irradiation using 473nm light caused the deformation of the cubic unit cell of the blue phase and a shift in the photonic band gap. The fast back-isomerization of azobenzene was induced by irradiation with 532nm light. The crystalline structure was verified using a Kossel diffraction diagram. Moreover, we also demonstrated an optically addressable blue phase display, based on Bragg reflection from the photonic band gap. For 4MAB- doped liquid crystal blue phase, the trans-cis photoisomerization of 4MAB destabilizes cubic unit cell of the blue phase and reduces the phase transition temperature. We observed the phase sequences of the 4MAB-doped blue phase as a function of the time of UV irradiation. Various distinct phases can be switched to another specific phase by controlling irradiated time and temperature of the sample. Therefore, the corresponding bandgap can be switched on and off between blue phase and isotropic phase, or varied from 3D to 1D between blue phase and cholesteric phase. Finally, we investigated the thermal hysteresis in the phase transition between the cholesteric liquid crystal and the blue phase of liquid crystal. The thermal hysteresis of such a chiral doped nematic liquid crystal occurs over 6oC. Both the CLC phase and the blue phase can stably exist at room temperature and be switched to each other using temperature-controlled processes. Further, we demonstrated two sets of bistable conditions using various surface treatments. In a homogeneous aligned sample, two stable states, CLC with a planar alignment and blue phase with a uniform lattice distribution, reflect light of wavelengths 480-510nm and 630nm, respectively, as determined by the corresponding Bragg¡¦s reflection conditions. In the untreated sample, the CLC phase with a focal conic texture can scatter light and the blue phase with a non-uniform lattice distribution provides high isotropic optical transparency.

Water, suspended particle and sediment samples from Gao-ping coastal water column were collected and measured to determine the spatial and temporal distributions of polycyclic aromatic hydrocarbons (PAHs) during August 2010 and June 2011. In addition, principal component analysis (PCA) and hierarchical the cluster analysis (HCA) were performed with chemical fingerprinting to understand the possible sources of PAHs in Gao-ping coast. The correlations between PAHs and several factors such as salinity, temperature and organic carbon were also discussed in the present study. The total PAH concentrations (dissolved and particulate phase) at four sampling campaigns ranged from 2.09 to 45 ng/L. Concentrations of dissolved PAHs ranged from 2.0 to 39 ng/L and the highest average concentrations were found in November 2010 (10.0 ¡Ó 9.90 ng/L). The particulate PAHs ranged from 0.13 to 40 ng/L and the maximum concentration was found in the estuary in August 2010. The total PAH concentrations of sediment ranged from 125-648 ng/g, which were lower than the Effect Range Low (ERL) and Threshold Effect Level (TEL) values, suggesting that few adverse ecological effects would arise from the PAHs in Gao-ping canyon. Results from chemical fingerprinting, PCA and HCA indicate that PAHs in this area were from complex sources such as combustion, petroleum, diagenesis or biogenic sources. Sources of PAHs in dissolved phase were mainly from petrogenic and mixed sources, while particulate PAHs were mainly from a mixed source. However, sources of PAHs in November 2010 and February 2011 were mostly from mixed combustion, suggesting that the PAH concentrations in particulate phase might be affected by atmospheric transport. The results showed that perylene in Gao-ping coast and canyon was mainly from the biogenic source. A significant correlaction was found in PAH fingerprinting between the esturine particles and sediment, indicating that the sediments in Gao-ping canyon might mainly come from Gao-ping River. Correlation analysis showed a significant positive correlation between concentrations of suspended particle and PAHs, while a negative correlation was found between PAH concentrations and temperature. In addition, organic carbon showed a significant correlation with PAHs in sediment samples. The partition coefficients (Koc) values of PAHs were higher than the values from other literatures, suggesting that it might be attributed to soot carbon.

Solid-phase syntheses of two 14-membered ring peptidomimetics were done to determine whether or not a beta-turn structure can facilitate macrocyclization. NMR methods, together with CD and QMD calculations, do not fully support this assumption. However, cyclizations of more ordered structures like those of compounds 2 were more efficient than those for highly strained ring systems like 1. A small library of 18-membered ring peptidomimetics that accommodate an extra amino acid residue was synthesized on resin. Their syntheses were not complicated by head-to-tail dimer impurity, unlike those for previously synthesized 14-membered systems. These larger macrocycles exhibit beta-turn structures as verified by NMR, CD and QMD techniques. Moreover, two compounds in this series (3a and 3g) were shown to have agonistic properties for TrkC in cell survival assays. Dimerization of monovalent mimics was achieved first by modifying the organic template so that monovalent mimics with requisite functional groups can be synthesized. Second, the monovalent units were dimerized using sequential nucleophilic substitutions on fluorescently labeled dichlorotriazine. Our rationale to make bivalent compounds out of monovalent ones was justified when compound 4 was shown to bind TrkA with a 20 nM affinity. Reactions of amino acids with NH4SCN under acylating conditions produced 2-thiohydantoins in which the nitrogen of the amino acid (N1) was acylated. This was proven by 2-D NMR which showed no cross-peak between the NH signal observed and the Cα±-H of the amino acid. When the compound was deacylated, a new NH signal appeared and the corresponding cross-peak with the Cα±-H was observed. Solution-phase syntheses of non-peptidic mimics were achieved by doing a double substitution on a dihalogenated nitrobenzene scaffold. Sonogashira and SNAr reactions were done to install the required side-chains to give the desired compounds. These non-peptidic compounds can be easily adapted to our DTAF-Inp dimerization protocol since the nitro groups can be easily reduced. Attempts to make a spirotetracyclic peptidomimetic with three side chain mimics were done by synthesizing the spirocyclic diketopiperazine precursor. The synthesis of the DKP was achieved by making the cyclic quaternary amino acid that was coupled to another amino acid via the HOAt-EDC method. This protocol gave dipeptides in high yields. These dipeptides were deprotected and cyclized to the DKP under mildly acidic conditions in toluene.

Abstract In this study, we employed the Monte Carlo simulation method to investigate the q-state coupled XY model based on the Landau free energy of couple hexatic order and herringbone order proposed by Bruinsma and Aeppli. On two-dimensional triangular lattices simulation results reveal that the q-state coupled XY model will generate a q-state clock phase transition and a XY transition. The unique generated q-state clock phase transition and XY transition will couple in some coupling parameter domain. The novel coupled transitions behavior agree with the phase transition of some kinds of liquid crystal. For example, the three-state Potts phase transition generated by a 3-state coupled XY model and the Sm-A ¡÷Hex-B transition of free ¡V standing two layers liquid crystal are matched. Their heat capacity anomaly is similar and the heat capacity exponent is both closed to £\¡Ü0.3. We also investigated the system of coupled ferromagnetic order and antiferromagnetic order. Adapted the positive coupling parameter on the Hamiltonian of 3-state coupled XY model, the simulation results reveal that the system generate an antiferromagnetic three-state Potts transition. In some parameter domain the antiferromagnetic three-state Potts transition and XY transition are coupled, and become a novel transition. The novel transition may explain the Sm-A ¡÷Hex-B transition of some kinds of liquid crystal which lack herringbone order.

The subject is to study two-dimension phase transition. The nano-magnetic particles dispersed in magnetic fluid can aggregate to form magnetic columns under external perpendicular magnetic field. At some appropriate condition, these magnetic columns are able to form two-dimension lattices. It is a novel mesoscopic system for studying two-dimensional melting transition. By controlling external magnetic field, we explore phenomena of phase transition and defect dynamics. This article can be divided to three parts. In the first part, we study the phase transition with two-dimension lattice forming with magnetic fluid, then we classify the crystal, hexatic and liquid phases in the melting process with translational correlation function and bond-orientational correlation function. In the second part, we analyze the defect dynamics within the lattice with Burgers Vector. In the third part of this article, the external DC magnetic field is replaced with the AC magnetic field, we find that the two-dimension lattices are also formed in low frequency region. The relationship between the two-dimension lattice forming and the AC frequency are studied.

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