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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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Directed drift and fluid pumping of nanoswimmers by periodic rectification-diffusion
TL;DR: The steady ratchet transport of run-and-tumble nanoswimmers in a 3D microfluidic channel constructed by periodic chambers separated by half-cylinder funnels is explored by dissipative particle dynamics.
Journal ArticleDOI
Entropy driven unidirectional motion of Brownian particle inside a three-dimensional tube
Sheh Yi Sheu,Dah Yen Yang +1 more
TL;DR: In this paper, a three-dimensional (3D) tube model consisting of a sequence of connected two-gate blobs for an ion channel and a micro-tube of a molecular motor was proposed.
Journal ArticleDOI
Slow and macroscopic modulation of thermal fluctuations in myofibrils
TL;DR: A slow, macroscopic modulation of the thermal fluctuations of the length of sarcomere was found to be unique to myofibrils in their relaxed conditions.
Posted Content
On the Fundamental Equation of Nonequilibrium Statistical Physics -- Nonequilibrium Entropy Evolution Equation and the Formula for Entropy Production Rate
TL;DR: In this paper, the authors proposed a new fundamental equation of nonequilibrium statistical physics in place of the present Liouville equation, which is the stochastic velocity type's Langevin equation in 6N dimensional phase space.
Journal ArticleDOI
Drift of particles caused by fluctuations of their sizes
V. Yu. Zitserman,Yu. A. Makhnovskii,Yu. A. Makhnovskii,Leonid I. Trakhtenberg,Dah Yen Yang,Sheng Hsien Lin,Sheng Hsien Lin +6 more
TL;DR: In this article, the particle drift in a periodic symmetric channel was investigated and the effect of the geometry of the channel and the amplitude and frequency of fluctuations on the drift velocity was studied by the Brownian dynamics method.
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.