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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

Transport in a ratchet with spatial disorder and time-delayed feedback

TL;DR: In this paper, the effects of disorder intensity, correlation strength and delay time on the transport properties of an overdamped periodic ratchet are discussed for different driving forces for both small and large driving forces, the correlation strength of the spatial disorder can enhance the drift motion but suppress the diffusion motion.
Journal ArticleDOI

Transport and current reversal in a periodic system driven by cross-correlated noises

TL;DR: In this article, the authors studied the noise-induced transport and current reversal of Brownian particles in a spatially symmetric periodic potential driven by cross correlation between a multiplicative white noise and an additive white noise.
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Switchable reversal of vortex ratchet with dynamic pinning landscape

TL;DR: Using the time-dependent Ginzburg-Landau formalism, Wang et al. as discussed by the authors showed an approach to switch the reversal of vortex ratchets by a dynamic pinning landscape, which is highly tuned by varying the sliding velocity of the dynamic Pinning potential and its characteristic sizes and densities.
Journal ArticleDOI

A perturbation approach to transport in discrete ratchet systems

TL;DR: In this paper, a perturbation approach for the calculation of current in a discrete ratchet system under the influence of outer noise is proposed, which works well even for outer fields comparable with the ratchet potential.
Journal ArticleDOI

Quantum ratchet in two-dimensional semiconductors with Rashba spin-orbit interaction.

TL;DR: The scattering quantum ratchet in R2DEG is conceptually simple and is capable of converting a.c. driving force into a rectified current without the need of additional symmetry breaking mechanism or external magnetic field.
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.