Journal ArticleDOI
Forced thermal ratchets.
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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.read more
Citations
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Journal ArticleDOI
Effects of multiplicative noise on fluctuation-induced transport
TL;DR: In this article, the authors studied the transport of a Brownian particle moving in a ratchet-like periodic potential driven by multiplicative colored noise, and an analytic expression for the steady current with weak noise-strength was obtained.
Journal ArticleDOI
Optimal transport in a ratchet coupled to a modulated environment: The role of Levy walks
Jane Rosa,Marcus W. Beims +1 more
TL;DR: In this paper, a Brownian particle in a ratchet potential coupled to a modulated environment and subjected to an external oscillating force is considered, and it is shown that the maximal mobility of particles along the periodic structure occurs just before superdiffusive motion disappears and Levy walks are transformed into normal random walks.
Journal ArticleDOI
Asymmetric Brownian Motor Driven by Bubble Formation in a Hydrophobic Channel
TL;DR: An original mechanism of transition between states by bubble formation in a nanosized channel surrounded by hydrophobic atoms is proposed, which amounts to a nanoscale motor system using bubble propulsion and potentially more efficient than systems controlled by other forces.
Book ChapterDOI
Feedback Control of Colloidal Transport
TL;DR: In this paper, a review of the literature on feedback control of one-dimensional colloidal systems with instantaneous feedback and with time delay is presented, where the feedback schemes are based on measurement of the average particle position, a natural control target for an ensemble of colloidal particles.
Journal ArticleDOI
Decomposition of force fluctuations far from equilibrium.
Kumiko Hayashi,Shin-ichi Sasa +1 more
TL;DR: By studying a nonequilibrium Langevin system, it is found that a simple condition determines the decomposition of the coarse-grained force into a dissipative force, an effective driving force and noise, and a universal inequality, D > or = gamma mu2(d)T, is derived.
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
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.