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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Book ChapterDOI
Biased Brownian Motion
TL;DR: In this article, the authors use the definition given by Derenyi and Astumian (Brownian ratchets) and their application to biological transport processes and macromolecular separation.
Journal ArticleDOI
Coupled Hybrid Stochastic Resonance With Multiobjective Optimization for Machinery Dynamic Signature and Fault Diagnosis
TL;DR: In this article , a coupled hybrid stochastic resonance (CHSR) method was proposed for weak signal signatures of a rolling bearing with four degrees of freedom under a rotor system with external excitation.
Journal ArticleDOI
Noise-induced unidirectional transport
TL;DR: In this article, constructive conditions for existence of unidirectional transport are given for systems with state-dependent noise and for forced thermal ratchets, using them, domains of parameters corresponding to unidimensional transport are identified.
Journal ArticleDOI
Fluctuating-friction molecular motors
TL;DR: In this article, it was shown that the correlated stochastic fluctuation of the friction coefficient can give rise to long-range directional motion of a particle undergoing Brownian random walk in a constant periodic energy potential landscape.
Journal ArticleDOI
Overdamped non-contact rectifiers
A. Moradian,M. Alvand +1 more
TL;DR: In this article, the authors study the dynamics of overdamped systems in a symmetric periodic potential against an external load and show that the mean velocity of the system increases to get the highest value, by appropriate tuning of parameters.
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.