Brownian motors: noisy transport far from equilibrium

P Reimann - Physics reports, 2002 - Elsevier
Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

Dichotomous Markov noise: exact results for out-of-equilibrium systems

I Bena - International Journal of Modern Physics B, 2006 - World Scientific
Nonequilibrium systems driven by additive or multiplicative dichotomous Markov noise
appear in a wide variety of physical and mathematical models. We review here some …

Step** molecular motor amid Lévy white noise

B Lisowski, D Valenti, B Spagnolo, M Bier… - Physical Review E, 2015 - APS
We consider a model of a step** molecular motor consisting of two connected heads.
Directional motion of the stepper takes place along a one-dimensional track. Each head is …

Resonant activation in piecewise linear asymmetric potentials

A Fiasconaro, B Spagnolo - Physical Review E—Statistical, Nonlinear, and …, 2011 - APS
This work analyzes numerically the role played by the asymmetry of a piecewise linear
potential, in the presence of both a Gaussian white noise and a dichotomous noise, on the …

GPU accelerated Monte Carlo simulation of Brownian motors dynamics with CUDA

J Spiechowicz, M Kostur, L Machura - Computer Physics Communications, 2015 - Elsevier
This work presents an updated and extended guide on methods of a proper acceleration of
the Monte Carlo integration of stochastic differential equations with the commonly available …

Sterically driven current reversal in a molecular motor model

A Albaugh, G Gu, TR Gingrich - Proceedings of the National Academy of …, 2023 - pnas.org
Simulations can help unravel the complicated ways in which molecular structure determines
function. Here, we use molecular simulations to show how slight alterations of a molecular …

Langevin dynamics with dichotomous noise; direct simulation and applications

D Barik, PK Ghosh, DS Ray - Journal of Statistical Mechanics …, 2006 - iopscience.iop.org
We consider the motion of a Brownian particle moving in a potential field and driven by
dichotomous noise with exponential correlation. Traditionally, the analytic as well as the …

Anomalous transport in biased ac-driven Josephson junctions: Negative conductances

M Kostur, L Machura, P Talkner, P Hänggi… - Physical Review B …, 2008 - APS
We investigate classical anomalous electrical transport in a driven, resistively, and
capacitively shunted Josephson junction device. Intriguing transport phenomena are …

Transport in a Lévy ratchet: Group velocity and distribution spread

B Dybiec, E Gudowska-Nowak, IM Sokolov - Physical Review E—Statistical …, 2008 - APS
We consider the motion of an overdamped particle in a periodic potential lacking spatial
symmetry under the influence of symmetric, white, Lévy noise, being a minimal setup for a …

Brownian motor with competing spatial and temporal asymmetry of potential energy

VM Rozenbaum, TY Korochkova, AA Chernova… - Physical Review E …, 2011 - APS
A Brownian motor is considered which operates due to asymmetric dichotomic fluctuations
of the spatially periodic asymmetric potential energy. As shown, the motion direction and …