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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Large Fluctuations in Multiattractor Systems and the Generalized Kramers Problem
TL;DR: In this paper, an escape from a multi-well metastable potential on the timescale of the formation of the quasiequilibrium between the wells is studied and a corresponding escape rate is calculated with a logarithmic accuracy.
Journal ArticleDOI
Net particle current in an adiabatically driven unbiased inhomogeneous inertial system in a periodic potential
W. L. Reenbohn,Mangal C. Mahato +1 more
TL;DR: In this article, the authors extend Risken's matrix continued fraction method to solve the Fokker-Planck equation to calculate the particle current in an inertial symmetric (sinusoidal) periodic potential under the action of a constant force.
Journal ArticleDOI
Directed transport driven by Lévy flights coexisting with subdiffusion.
Bao-quan Ai,Ya-feng He +1 more
TL;DR: The Langevin-type dynamics with subordination techniques are used and it is found that the group velocity increases monotonically with the subdiffusive index and there exists an optimal value of the Lévy index at which the group Velocity takes its maximal value.
Journal ArticleDOI
Ratchet-induced variations in bulk states of an active ideal gas.
Jeroen Rodenburg,Siddharth Paliwal,Marjolein de Jager,Peter G. Bolhuis,Marjolein Dijkstra,René van Roij +5 more
TL;DR: In this paper, the authors study the distribution of active, noninteracting particles over two bulk states separated by a ratchet potential and identify power law dependencies on system parameters in several limiting cases.
Journal ArticleDOI
System with spatially periodic potential field and subject to multiplicative noise
TL;DR: In this paper, the authors investigated the transport of particles in a spatially periodic field driven by multiplicative noise and showed that the correlation of the noise with the space is an ingredient for the net flux of particles.
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.