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
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Stochastic multiresonance and correlation-time-controlled stability for a harmonic oscillator with fluctuating frequency.
TL;DR: The multires onancelike behavior of the variance and the signal-to-noise ratio as functions of the noise correlation time are observed and the connection between the occurrence of energetic instability and the phenomenon of stochastic multiresonance is established.
Journal ArticleDOI
The physics of biological molecular motors
N Thomas,R A Thornhill +1 more
TL;DR: This work illustrates the remarkable physics of the actomyosin motor using a simplified three-state model, in which a myosin cross-bridge attaches to an actin filament, tilts over and then detaches, which develops the remarkable property of `negative viscosity'.
Journal ArticleDOI
Randomly rattled ratchets
TL;DR: In this article, the authors describe some simple models which illustrate this phenomenon, highlighting two particular mechanisms leading to fluctuation-induced current, which can be seen as a form of anisotropic periodic potentials.
Journal ArticleDOI
Recent developments in DNA electrophoretic separations.
TL;DR: This review focuses on new separation mechanisms, new sieving matrices and recent conceptual advances in DNA electrophoresis, which have been studied since ca.
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Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps
S. Beri,Riccardo Mannella,Riccardo Mannella,Dmitry G. Luchinsky,A. N. Silchenko,Peter V. E. McClintock +5 more
TL;DR: A topological method is introduced that simplifies the solution of boundary value problems: the activation energy is calculated as a function of a set of parameters characterizing the initial conditions of the escape path.
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.