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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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Patent

Multiple arm apparatus and methods for separation of particles

TL;DR: In this paper, a three arms extending radially from a central reservoir, each arm being associated with a separation electrode, at least one on the arms includes a separation medium, and using a sequence of driving and mobility-changing voltages, target particles can be separated from closely related particles within a sample.
Journal ArticleDOI

The characteristics of four ratcheting states in cellular flames.

TL;DR: The experimental results are discussed in the context of the physical characteristics of the flame front and in terms of bifurcations of systems with symmetry.
Proceedings ArticleDOI

Coupled Brownian motors: The entropic mechanism

TL;DR: In this paper, it was shown that a non-standard hysteretic cycle with a staircase-like structure can be obtained by noise induced phase transition in an entropic mechanism, where the noise-induced phase transition originates from a short time instability.
Journal ArticleDOI

Surfing at wave fronts: The bidirectional movement of cargo particles driven by molecular motors

TL;DR: In this article, the authors examined the properties of intracellular transport of particles (vesicles, organelles, virus, etc.) in the realm of models that describe the dynamics of interacting molecular motors moving along microtubules.
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.