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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Driven lattice gases: models for intracellular transport
TL;DR: In this paper, the authors extended these studies in two ways: first, motivated by the fact that many molecular motors are dimers, they studied how the stationary properties of the system (density profile and phase behavior) change upon replacing monomers with extended particles.
Journal ArticleDOI
Transport of Brownian particles controlled by a transversal oscillating force
TL;DR: In this paper, the authors studied the transport of Brownian particles in a two-dimensional asymmetric channel in the presence of a transversal oscillating force and found that the transport can be manipulated by a longitudinal shift between the top and bottom walls of the channel due to its influences on the distribution of the particles.
Journal ArticleDOI
Near-surface Brownian motor with synchronously fluctuating symmetric potential and applied force
V.M. Rozenbaum,A.A. Chernova +1 more
TL;DR: In this article, a model for the unidirectional surface-parallel motion of a Brownian particle under the action of fluctuating surface-inclined unbiased external forces is proposed.
Proceedings ArticleDOI
Dynamics of two coupled particles: comparison of Lennard-Jones and spring forces
Renata Retkute,James P. Gleeson +1 more
TL;DR: In this paper, the influence of the type of interacting force on the transport of two particles in a one-dimensional flashing ratchet was examined, where the common assumption of elastic coupling captures the important features of ratchet transport when the interparticle forces are more complex.
Journal ArticleDOI
Long-Term Relaxation of a Composite System in Partial Contact with a Heat Bath.
TL;DR: In this paper, relaxational behavior from a highly excited state for a composite system in partial contact with a heat bath was studied, motivated by an experimental report of long-term energy storage in protein molecules.
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.