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
Citations
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Numerical analysis of noise-induced regular oscillations
TL;DR: In this article, a numerical procedure for indicating domains of parameters corresponding to the regular oscillations in systems with additive and multiplicative noise is proposed, and results of numerical experiments are presented.
Journal ArticleDOI
Noise-induced transport at zero temperature
Heiner Kohler,Andreas Mielke +1 more
TL;DR: In this article, the authors consider a particle in the over-damped regime at zero temperature under the influence of a saw-tooth potential and of a noisy force, which is correlated in time.
Journal ArticleDOI
Entropy Production Rate of the Coupled Diffusion Process
Min Qian,Fuxi Zhang +1 more
TL;DR: In this paper, the authors calculate the entropy production rate of coupled diffusion processes, in which chemical free energy is converted to mechanical energy, and the entropy is a crucial term in calculating the efficiency of the motors.
Journal ArticleDOI
Thermodynamical and mechanical efficiency of a ratchet pump
Igor M. Sokolov,A. Blumen +1 more
TL;DR: In this paper, the mechanical and thermal properties of a model ratchet were studied and its efficiency when subjected to external changes in temperature or potential, and the results showed that the pump efficiency may be considerably lower than under thermal changes; the maximal mechanical efficiency is attained at a finite temperature.
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.