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We show that the correlated stochastic fluctuation of the friction coefficient can give rise to long-range directional motion of a particle undergoing Brownian random walk in a constant periodic energy potential landscape. The occurrence of…

Soft Condensed Matter · Physics 2009-11-07 Lorenzo Marrucci , Domenico Paparo , Markus Kreuzer

Overdamped motion of Brownian particles in tilted piecewise linear periodic potentials is considered. Explicit algebraic expressions for the diffusion coefficient, current, and coherence level of Brownian transport are derived. Their…

Soft Condensed Matter · Physics 2009-11-10 Els Heinsalu , Risto Tammelo , Teet Ord

Thermodynamics of nanoscale devices is an active area of research. Despite their noisy surrounding they often produce mechanical work (e.g. micro-heat engines), display rectified Brownian motion (e.g. molecular motors). This invokes…

Statistical Mechanics · Physics 2018-12-05 Arnab Saha , Rahul Marathe , P. S. Pal , A. M. Jayannavar

The diffusive motion of overdamped Brownian particles in tilted piecewise linear pontentials is considered. It is shown that the enhancement of diffusion coefficient by an external static force is quite sensitive to the symmetry of periodic…

Soft Condensed Matter · Physics 2007-05-23 Els Heinsalu , Risto Tammelo , Teet Ord

In this manuscript, we consider the case where a Brownian particle is subject to a static periodic potential and is driven by a constant force. We derive analytic formulas for the average velocity and the effective diffusion.

Analysis of PDEs · Mathematics 2007-05-23 Hongyun Wang

We consider a Geometric Brownian Information Engine to explore the effects of finite cycle time $(\tau)$ on the extractable work, power, and efficiency. We incorporate an error-free feedback controller that converts the information obtained…

Statistical Mechanics · Physics 2025-06-23 Syed Yunus Ali , Rafna Rafeek , Debasish Mondal

Machine learning is used to approximate the kinetic energy of one dimensional diatomics as a functional of the electron density. The functional can accurately dissociate a diatomic, and can be systematically improved with training. Highly…

Chemical Physics · Physics 2015-06-16 John C. Snyder , Matthias Rupp , Katja Hansen , Leo Blooston , Klaus-Robert Müller , Kieron Burke

We consider an active Brownian particle moving in a disordered two-dimensional energy or motility landscape. The averaged mean-square-displacement (MSD) of the particle is calculated analytically within a systematic short-time expansion. As…

Soft Condensed Matter · Physics 2021-05-03 Davide Breoni , Michael Schmiedeberg , Hartmut Löwen

The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of…

Classical Analysis and ODEs · Mathematics 2013-05-09 Dmitry Vorotnikov

In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement results from its internal activity: the cell velocity is a…

Cell Behavior · Quantitative Biology 2018-08-02 Christèle Etchegaray , Nicolas Meunier

A Brownian information engine is a device extracting a mechanical work from a single heat bath by exploiting the information on the state of a Brownian particle immersed in the bath. As for engines, it is important to find the optimal…

Statistical Mechanics · Physics 2016-04-06 J. -M. Park , J. S. Lee , J. D. Noh

In systems possessing a spatial or dynamical symmetry breaking thermal Brownian motion combined with unbiased, non-equilibrium noise gives rise to a channelling of chance that can be used to exercise control over systems at the micro- and…

Statistical Mechanics · Physics 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

This work deals with the overdamped motion of a particle in a fluctuating one-dimensional periodic potential. If the potential has no inversion symmetry and its fluctuations are asymmetric and correlated in time, a net flow can be generated…

Condensed Matter · Physics 2016-10-26 Enrique Abad , Andreas Mielke

The rectification of noise into directed movement or useful energy is utilized by many different systems. The peculiar nature of the energy source and conceptual differences between such Brownian motor systems makes a characterization of…

Statistical Mechanics · Physics 2011-02-04 M. Zelan , H. Hagman , G. Labaigt , S. Jonsell , C. M. Dion

A simple model for the reaction-driven propulsion of a small device is proposed as a model for (part of) a molecular machine in aqueous media. Motion of the device is driven by an asymmetric distribution of reaction products. The propulsive…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian , Tanniemola B. Liverpool , Armand Ajdari

We investigate a Brownian heat engine wherein a particle moves through a periodic ratchet potential under an exponentially decreasing temperature profile, a spatial configuration that closely resembles experimentally realizable conditions…

Statistical Mechanics · Physics 2025-09-26 Mesfin Asfaw Taye

We consider the motion of an underdamped Brownian particle in a tilted periodic potential in a wide temperature range. Based on the previous data [1] and the new simulation results we show that the underdamped motion of particles in…

Statistical Mechanics · Physics 2013-07-17 I. G. Marchenko , I. I. Marchenko , A. V. Zhiglo

We present the Brownian dynamics simulation of active colloidal suspension in two dimensions, where the self-propulsion speed of a colloid is regulated according to the local density sensed by it. The role of concentration-dependent…

Soft Condensed Matter · Physics 2021-01-29 Francis Jose , Shalabh K. Anand , Sunil P. Singh

We propose a dynamic mechanism of a molecular machine for energy conversion, by considering a simple model describing the dynamics of two components, the head and the chain. After injection of energy to the head region, the energy is stored…

Condensed Matter · Physics 2007-05-23 Naoko Nakagawa , Kunihiko Kaneko

We investigate stochastic thermodynamics of a two-particles Langevin system. Each particle is in contact with a heat bath at different temperatures $T_1$ and $T_2~(<T_1)$, respectively. Particles are trapped by a harmonic potential and…

Statistical Mechanics · Physics 2016-07-29 Jong-Min Park , Hyun-Myung Chun , Jae Dong Noh
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