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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Book ChapterDOI
Directed Current Without Dissipation: Reincarnation of a Maxwell-Loschmidt Demon
Igor Goychuk,Peter Hänggi +1 more
TL;DR: In this paper, the authors considered the coherent driven quantum transport in a one-dimensional tight-binding lattice and showed that a finite coherent current can be found when a time-reversal symmetry-breaking signal such as a harmonic mixing signal is acting.
Journal ArticleDOI
Multiplicative cross-correlated noise induced escape rate from a metastable state.
TL;DR: In this paper, an analytical framework is presented to study the escape rate from a metastable state under the influence of two external multiplicative cross-correlated noise processes, which are Gaussian, stationary, and delta correlated.
Journal ArticleDOI
Multiplicative cross-correlated noise induced escape rate from a metastable state
TL;DR: It is evident both from analytical development and the corresponding numerical simulation that the enhancement of rate is possible by increasing the degree of correlation of the external fluctuations.
Journal ArticleDOI
Drift motion of granules in chara cells induced by random impulses due to the myosin-actin interaction
TL;DR: Random motions of granules in the cell of chara have been analyzed in the resting state as well as in the drifting state of the protoplasmic streaming and the granules have been found to be subjected to random impulses with the same strength from the myosin-actin interaction in both states.
Journal ArticleDOI
Noise-Induced Acceleration of Single Molecule Kinesin-1.
TL;DR: In this paper, the movement of single kinesin molecules was observed while applying noisy external forces that mimic intracellular active fluctuations, and the behavior quantitatively conformed to a theoretical model that describes the kinein movement with simple two-state reactions, i.e., active fluctuations in cells are not just noise but are utilized to promote various physiological processes.
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.