Journal ArticleDOI
Forced thermal ratchets.
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In this paper, the authors considered a Brownian particle in a periodic potential under heavy damping and showed that if the particle is subject to an external force having time correlations, detailed balance is lost and the particle can exhibit a nonzero net drift speed.Abstract:
We consider a Brownian particle in a periodic potential under heavy damping. The second law forbids it from displaying any net drift speed, even if the symmetry of the potential is broken. But if the particle is subject to an external force having time correlations, detailed balance is lost and the particle can exhibit a nonzero net drift speed. Thus, broken symmetry and time correlations are sufficient ingredients for transport.read more
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Book ChapterDOI
Stochastic acceleration of charged particle in nonlinear wave field
TL;DR: In this paper, the authors investigated the possibility of stochastic acceleration of a charged particle by nonlinear waves and found that the virtual pattern of saddle steady wave plays a role of asymmetric potential, which and the nonlinear varying perturbation wave are the two sufficient ingredients for the acceleration in our case.
Book ChapterDOI
Mechanical Forces in the Biological World
TL;DR: This chapter addresses three instances of mechanical force generation, two which derive directly from the cytoskeleton and one which serves as a model.
Book ChapterDOI
Anomalous diffusion in disordered lattices: Effect of bias
TL;DR: In this paper, the authors model a system of disorder by utilizing a lattice on which the sites are characterized by energies, which are highly disordered, as they are chosen from a given distribution of energy values, and thus every single site is characterized by a different energy value.
Journal ArticleDOI
Interacting Brownian particles exhibiting enhanced rectification in an asymmetric channel
Narender Khatri,P. S. Burada +1 more
TL;DR: In this paper, the authors investigated rectification of interacting Brownian particles in a two-dimensional asymmetric channel in the presence of an external periodic driving force, and they found that by simply tuning the driving frequency, driving amplitude, and shape of the channel, the average velocity can be reversed.
Journal ArticleDOI
Approximate Probability Distribution of Noise-Induced Directed Transport
TL;DR: In this paper, a simple Langevin model proposed by Buttiker and Landauer is analytically studied and numerically simulated, and a new approach to find the probability distribution is proposed.
References
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Book
Stochastic processes in physics and chemistry
TL;DR: In this article, the authors introduce the Fokker-planck equation, the Langevin approach, and the diffusion type of the master equation, as well as the statistics of jump events.
Stochastic Processes in Physics and Chemistry
Abstract: Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master equation. VI. One-step processes. VII. Chemical reactions. VIII. The Fokker-Planck equation. IX. The Langevin approach. X. The expansion of the master equation. XI. The diffusion type. XII. First-passage problems. XIII. Unstable systems. XIV. Fluctuations in continuous systems. XV. The statistics of jump events. XVI. Stochastic differential equations. XVII. Stochastic behavior of quantum systems.
Book
Molecular Cell Biology
TL;DR: Molecular cell biology, Molecular cell biology , مرکز فناوری اطلاعات و اصاع رسانی, کδاوρزی
Book
The Fokker-Planck Equation: Methods of Solution and Applications
TL;DR: In this paper, the Fokker-Planck Equation for N Variables (FPE) was extended to N = 1 variable and N = 2 variables, where N is the number of variables in the system.