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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

Brownian ratchets driven by flashing noise strength

TL;DR: In this paper, the stochastic transport driven by flashing multi-noise sources in a ratchet is studied and the stationary current versus the noise strength and the colored noise correlated time T is obtained.
Journal ArticleDOI

Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment

TL;DR: In this paper, a system reservoir model is proposed to study the transport of an overdamped Brownian particle in a periodic potential, where the associated reservoir is modulated by an external colored random force.
Journal ArticleDOI

Stochastic systems with cross-correlated Gaussian white noises

TL;DR: In this paper, the stationary solutions of the Fokker-planck equation for three specific stochastic systems with cross-correlation Gaussian white noises were analyzed and it was shown explicitly that the crosscorrelation of white noises can induce nonequilibrium transitions.
Journal ArticleDOI

Nanometer-Scale-Resolution Multichannel Separation of Spherical Particles in a Rocking Ratchet with Increasing Barrier Heights

TL;DR: In this article, a ratchet-shaped electrostatic particle potential with increasing barrier heights along the particle transport direction is exploited to separate a particle suspension into multiple sub-populations.
Posted Content

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

TL;DR: In this paper, the authors investigated the role of mechanochemical coupling in the anomalous transport of submicron particles in living cells, 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, so that only one ATP molecule is consumed at each motor step along microtubule on average.
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.