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
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Journal ArticleDOI
Conceptual design of a molecular shuttle
TL;DR: In this article, the authors showed that the effectiveness of low-dimensional thermal ratchets depend on the inertia of the carriers, that is on their mass, and that the suppression of the transport current at small noise-correlation times occurs through a more complicated mechanism than previously predicted in the zero-mass limit.
Journal ArticleDOI
Power law diffusion coefficient and anomalous diffusion: analysis of solutions and first passage time.
Kwok Sau Fa,Ervin K. Lenzi +1 more
TL;DR: It is shown that the system with the coefficient D(x) between the derivatives can produce different behaviors for the mean first passage time in comparison with those obtained by the systemwith the coefficient inside the derivatives.
Journal ArticleDOI
Pressure and flow of exponentially self-correlated active particles
TL;DR: An exact expression is obtained for the steady-state phase-space density of a single Ornstein-Uhlenbeck Particle confined by a quadratic potential, and the result is used to explore more complex geometries, both through analytical approximations and numerical simulations.
Journal ArticleDOI
Nanostructured Superconductors With Asymmetric Pinning Potentials: Vortex Ratchets
TL;DR: In this article, the authors present a review of vortex ratchets and their applications in particle transport in nanoscale systems, both solid state and biological, and explore possible quantum mechanical ratchet effects, explore the dynamics of single vortices in ratchetts, and test vortex devices based on ratchet phenomena.
Journal ArticleDOI
The roles of ratchet in transport of two coupled particles
Hai-Yan Wang,Jing-Dong Bao +1 more
TL;DR: In this article, the properties of a ratchet system rectifying the random motion of two harmonically coupled particles with arbitrary coupling strengths are studied via Langevin simulations, and the results show that the average center-of-mass velocity v c of two particles is larger than the average velocity v 1 of single particle in the rocking ratchet for low-to-moderate noise intensities, however, v c v 1 in the flashing ratchet.
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.