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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.

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Journal ArticleDOI

Molecular motors driven by laser pulses: Role of molecular chirality and photon helicity

TL;DR: In this paper, the roles of molecular chirality and photon helicity in determination of motors' unidirectional rotation were clarified and an expression for an instantaneous angular momentum of motors driven by lasers in the density matrix formalism was derived.
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A molecular motor constructed from a double-walled carbon nanotube driven by temperature variation

TL;DR: In this article, a double-walled carbon nanotube was constructed from a single-and a doublewalled single-WN and the interaction between the inner and outer tubes was derived by summing the Lennard-Jones potentials between atoms.
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Negative resistance and anomalous hysteresis in a collective molecular motor

TL;DR: A spatially extended model for a collective molecular motor driven far from equilibrium by a quenched additive noise exhibits anomalous transport properties, namely, negative resistance and a clockwise hysteresis cycle.
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Quantum Suppression of Ratchet Rectification in a Brownian System Driven by a Biharmonic Force

TL;DR: In this article, the authors rigorously investigated the quantum dissipative dynamics of a ratchet system described by a periodic potential model based on the Caldeira-Leggett Hamiltonian with a biharmonic force.
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Uphill motion of active brownian particles in piecewise linear potentials

TL;DR: In this paper, the authors consider Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of 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

Hannes Risken
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.