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
Quantum ratchets act as heat pumps
TL;DR: In this paper, it was shown that ratchets that combine local asymmetry with non-equilibrium processes to generate directed particle flow can be operated as heat pumps, where the direction of the generated current depends on temperature.
Journal ArticleDOI
Two-dimensional optical thermal ratchets based on Fibonacci spirals
TL;DR: Fibonacci spiral ratchets display an exceptionally rich range of transport properties, including inhomogeneous states in which different parts of the pattern induce motion in different directions.
Journal ArticleDOI
Inhomogeneous friction leading to current in periodic system
TL;DR: In this article, the diffusion process of a Brownian particle moving in a one-dimensional ratchet with space-dependent friction that is subjected to an external source was studied. And the influence of coordinatedependent friction on the average position and the direction of current of the particle was investigated.
Journal ArticleDOI
Directed motion in a periodic potential of a quantum system coupled to a heat bath driven by a colored noise.
TL;DR: The Fokker-Planck equation in position space, valid in the overdamped limit, for multiplicative colored noise is constructed to explore the possibility of observing a quantum current and dependence of the current on various parameters of external noise is examined.
Journal ArticleDOI
Competition between ac driving forces and Lévy flights in a nonthermal ratchet
Bao-quan Ai,Yafeng He +1 more
TL;DR: In this article, the authors investigated the transport of overdamped particles in an asymmetrically periodic potential in the presence of Levy noise and ac driving forces and found that the group velocity as a function of the Levy index is nonmonotonic for small values of the noise intensity.
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.