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.read more
Citations
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Journal ArticleDOI
Current transport for a spatially periodic potential system with color noises
Lijuan Ning,Jie Wang +1 more
TL;DR: In this paper, the transport of an underdamped particle driven by an external force in a periodic asymmetric potential with color noises is investigated and the corresponding mathematical model is established.
Journal ArticleDOI
Multi Player Parrondo Games with Rigid Coupling
Sandro Breuer,Andreas Mielke +1 more
TL;DR: In this paper , a strong coupling between the player such that the gain or loss of all players in one round is the same is introduced, and the dependency of the gain on the various parameters of the games is determined.
Dissertation
Transport of polymers and particles in microfabricated array devices
TL;DR: In this paper, a print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number of the library's phone number and click on the link.
Journal ArticleDOI
Rectifying effect in a Josephson junction ratchet array
TL;DR: In this article, the authors studied numerically a rectifying effect in an underdamped Josephson junction ratchet array driven by dc and ac current, where the guide banks of high critical currents are assigned for all the longitudinal junctions to prevent the percolative pattern of vortex motion.
Journal ArticleDOI
Approximation to a Fokker-Planck equation for the Brownian motor
TL;DR: An approximate method is proposed and numerically confirmed for a time-dependent Fokker-Planck equation (FPE) modeling the Brownian motor and it is found to be reduced to an ordinary differential equation.
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.