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Forced thermal ratchets.

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TLDR
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.

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Journal ArticleDOI

Perfect anomalous transport of subdiffusive cargos by molecular motors in viscoelastic cytosol

TL;DR: This work shows a natural emergence of a perfect subdiffusive ratchet regime due to allosteric effects, where the random rotations of a "catalytic wheel" at the heart of the motor operation become perfectly synchronized with the random stepping of a heavily loaded motor.
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Current reversal in a symmetric periodic potential

TL;DR: In this paper, the average velocity of an underdamped Brownian particle in a symmetric periodic potential driven by correlated noises (correlation between additive noise and multiplicative noise) and periodic signals is investigated.
Journal ArticleDOI

Longitudinal rectification of chiral self-propelled particles induced by the transversal asymmetry

TL;DR: In this paper, the rectification transport of chiral self-propelled particles in a two-dimensional (2D) upper-lower asymmetric channel was numerically investigated and a possible application for separating particles of different chiralities was also presented.
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Transport and Diffusion Enhancement in Experimentally Realized Non-Gaussian Correlated Ratchets.

TL;DR: In this article, an active Brownian ratchet comprising a colloidal particle in an optically generated asymmetric periodic potential driven by non-Gaussian noise having finite-amplitude active bursts, each arriving at random and decaying exponentially.
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The tube wall fluctuation can induce a net current in a periodic tube

TL;DR: In this article, the authors studied the transport of Brownian particles moving within a three-dimensional periodic tube in the presence of an elastic wall without any external force and found that the tube wall fluctuation can induce a net current.
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

Hannes Risken
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.