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
Current and efficiency of Brownian particles under oscillating forces in entropic barriers
Ferhat Nutku,Ekrem Aydιner +1 more
TL;DR: In this article, the current and efficiency of Brownian particles in an entropic tube structure were investigated and the numerically obtained results showed that different force forms give rise to different current and energy profiles in different optimized parameter intervals.
Journal ArticleDOI
Feedback control of an ensemble of self-propelled particles
TL;DR: In this paper, the direction of the transport is determined by the asymmetry of the potential and the feedback control strength, and it is shown that in the presence of feedback control, the directed transport can be improved significantly by increasing the feedback controller strength under appropriate conditions.
Journal ArticleDOI
Rapid and Efficient Acylative Active Transport on a Rotaxane
TL;DR: In this article, a cyclopentyl terminal group with one methylene spacer was used for the neutralization of a rotaxane consisting of a secondary ammonium salt, in which the ammonium group is located next to the terminal group and crown ether.
Journal ArticleDOI
Stationary states for underdamped anharmonic oscillators driven by Cauchy noise
Karol Capała,Bartłomiej Dybiec +1 more
TL;DR: Using numerical methods, stationary states in the underdamped anharmonic stochastic oscillators driven by Cauchy noise are studied and it is shown that the shape of stationary states depends on both the potential type and the damping.
Dissertation
Collective induced phenomena in systems of coupled oscillators
TL;DR: In this paper, the authors explore the deterministic dynamics of systems of coupled oscillators and explore how particles work together, cooperatively, to achieve directed transport, where the strength of the coupling between the particles will serve as the main control parameter.
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.