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Journal ArticleDOI

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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Citations
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Journal ArticleDOI

Adiabatic Brownian ratchets with the inclusion of inertia

TL;DR: In this paper, inertial corrections to the drift velocity of a Brownian particle have been calculated for two main classes of Brownian ratchets operating in the adiabatic regime of fluctuations of the potential energy.
Journal ArticleDOI

Rotational Transport via Spontaneous Symmetry Breaking in Vibrated Disk Packings

TL;DR: It is shown that vibrated packings of frictional disks self-organize cooperatively onto a rotational-transport state where the long-time angular velocity of each disk i is nonzero, and two rotational phases as a function of excitation intensity are revealed.
Journal ArticleDOI

Numerical analysis of the flux and force generated by a correlation ratchet mechanism.

TL;DR: Numerical results indicate that the stall force of a CR mechanism is quite limited, despite wide variations of the CR parameters.
Journal ArticleDOI

Current reversals of active particles in time-oscillating potentials.

TL;DR: It is found that the oscillation of the potential and the self-propulsion of active particles are two different types of nonequilibrium driving, which can induce net currents with opposite directions.
Proceedings ArticleDOI

DNA molecular motors

TL;DR: This work has devised two DNA-based molecular motors powered by DNA, one of which has two single-stranded extensions at the ends of the arms which serve as handles used to pull the tweezers shut.
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.