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
Ratchets driven by harmonic and white noise
TL;DR: In this article, the synthesis of overdamped Brownian motion in a periodic potential which lacks reflection symmetry (ratchet device) with unbiased nonequilibrium forces yields an ordered, directed particle current.
Journal ArticleDOI
Reversals of noise induced flow
TL;DR: In this paper, diffusive motion on a periodic, anisotropic potential is considered, and a zero-average force that fluctuates between three values: − F, 0 and + F, can bring about net flow.
Journal ArticleDOI
Optimal modulation of a Brownian ratchet and enhanced sensitivity to a weak external force.
TL;DR: In this paper, the authors studied the dynamics of a Brownian particle moving in a spatially anisotropic potential acted on by multiplicative temporal modulations so that V(x,t) = g(t)U(x).
Journal ArticleDOI
F0F1-ATP synthase: general structural features of ‘ATP-engine’ and a problem on free energy transduction
Book ChapterDOI
The Correlation Ratchet: A Novel Mechanism for Generating Directed Motion by ATP Hydrolysis
TL;DR: A specific mechanical model for transduction of phosphate bond energy during ATP hydrolysis into directed motion is proposed and this model falls within the class of “Brownian ratchets” since the model cannot function without the Brownian motion and since it derives its directionality from the rectification of such motion.
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.