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Imprinted Magnetic Traps for Study on Particle Fluctuation, Ordering and Microfluidic ApplicationsChen, Aaron 05 July 2013 (has links)
No description available.
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Exact Simulation Methods for Functionals of Constrained Brownian Motion Processes and Stochastic Differential EquationsSomnath, Kumar 19 September 2022 (has links)
No description available.
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Exact Markov Chain Monte Carlo for a Class of DiffusionsQi Wang (14157183) 05 December 2022 (has links)
<p>This dissertation focuses on the simulation efficiency of the Markov process for two scenarios: Stochastic differential equations(SDEs) and simulated weather data. </p>
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<p>For SDEs, we propose a novel Gibbs sampling algorithm that allows sampling from a particular class of SDEs without any discretization error and shows the proposed algorithm improves the sampling efficiency by orders of magnitude against the existing popular algorithms. </p>
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<p>In the weather data simulation study, we investigate how representative the simulated data are for three popular stochastic weather generators. Our results suggest the need for more than a single realization when generating weather data to obtain suitable representations of climate. </p>
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Self-propelled particles with inhomogeneous activityVuijk, Hidde Derk 08 December 2022 (has links)
Movement is an essential feature of life. It allows organisms to move towards a more favorable environment and to search for food. There are many biological systems that fall under the category active matter, from molecular motors walking on microtubules inside cells to flocks of birds. What these systems have in common is that each of its constituents converts energy into directed motion, that is, they propel themselves forward. Besides the many biological examples, there is also synthetic active matter, these are self-propelled particles made in a laboratory. These are typically colloidal sized particles that can propel themselves forward by self-phoresis. In this work the focus is on the low Reynolds number regime, meaning that the typical size of the constituents is less than a few micrometers. The models that are used to describe such active matter are can be viewed as nonequilibrium extensions to Brownian motion (the thermal motion of small particles dissolved in a fluid).
In many systems the self-propulsion speed (activity) is not homogeneous in space: the particles swim faster in some areas than in others. The main topic of this dissertation is how a single active particle, or a few active particles tied together by a potential, behave in such systems. It is known that a single active particle without any steering mechanism spends most time in the regions where it moves slowly, or in other words, they spend most time in regions where they are less active.
However, here it is shown that, even though they spend most time in the less active regions, dynamical properties, such as the probability to move towards the more active regions is higher than moving towards the less active regions.
Furthermore, when the active particles are connected to a passive Brownian 'cargo' particle, chained together to form a colloidal sized polymer, or fixed to another active particle, the resulting active dimers or polymers either accumulate in the high activity regions or the low activity regions, depending on the friction of the cargo particle, the number of monomers in the polymer, or the relative orientation of active particles.
Lastly, when the activity is both time- and space-dependent, a steady drift of active particles can be induced, without any coupling between the self-propulsion direction and the gradient in the activity. This phenomenon can be used to position the particles depending on their size.:1. Brownian Motion
2. Active Matter
3. Modeling Active Matter
4. Introduction: Inhomogeneous activity
5. Pseudochemotaxis
6. Cargo-Carrying Particles
7. Active Colloidal Molecules
8. Time-Varying Activity Fields
Appendix: Hydrodynamics
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Thermodynamics and optimal protocols of multidimensional quadratic Brownian systemsAbiuso, Paolo, Holubec, Viktor, Anders, Janet, Ye, Zhuolin, Cerisola, Federico, Perarnau-Llobet, Marti 26 October 2023 (has links)
We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped
systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the
system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally
emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools
to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how
these results can be used to analyze cases in which the experimental control over the system is partial.
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Coarse-grained model for a motor protein on a microtubuleAlanazi, Mansour Awadh, Alanazi January 2017 (has links)
No description available.
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The Viscosity of Water at High Pressures and High Temperatures: A Random Walk through a Subduction ZonePigott, Jeff S. 21 March 2011 (has links)
No description available.
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Quantum mechanics of periodic dissipative systems: Application to rotational systems and finite dimensional systems / 周期散逸系の量子力学: 回転系と有限次元系への応用Iwamoto, Yuki 23 March 2022 (has links)
京都大学 / 新制・課程博士 / 博士(理学) / 甲第23717号 / 理博第4807号 / 新制||理||1688(附属図書館) / 京都大学大学院理学研究科化学専攻 / (主査)教授 谷村 吉隆, 教授 林 重彦, 教授 渡邊 一也 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM
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Molecular dynamics (MD) simulation and modeling of diffusion in fluids and porous materialsKoller, Thomas M., Tallarek, Ulrich 30 January 2020 (has links)
In this workshop we will discuss some fundamentals of equilibrium and non-equilibrium
thermodynamics, in particular how concentration gradients are formed due to the Soret effect. At first
we will pay attention to the analysis of fluctuations at macroscopic thermodynamic equilibrium for the
determination of the Fick diffusion coefficient and the thermal diffusivity. Then, starting with the
extended diffusion equation, we will derive solutions for the concentration field under common
experimental geometries and introduce modern optical techniques for the measurement of the Fick
diffusion, thermodiffusion and Soret coefficients.
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Statistical arbitrage: Factor investing approachAkyildirim, Erdinc, Goncu, A., Hekimoglu, A., Nquyen, D.K., Sensoy, A. 26 September 2023 (has links)
Yes / We introduce a continuous time model for stock prices in a general factor representation with the noise driven by a geometric Brownian motion process. We derive the theoretical hitting probability distribution for the long-until-barrier strategies and the conditions for statistical arbitrage. We optimize our statistical arbitrage strategies with respect to the expected discounted returns and the Sharpe ratio. Bootstrapping results show that the theoretical hitting probability distribution is a realistic representation of the empirical hitting probabilities. We test the empirical performance of the long-until-barrier strategies using US equities and demonstrate that our trading rules can generate statistical arbitrage profits. / The full-text of this article will be released for public view at the end of the publisher embargo on 16 Sep 2024.
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