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Transport of a Brownian particle moving in a periodic potential is investigated in the presence of symmetric unbiased external force. The viscous medium is alternately in contact with the two heat reservoirs. We present the analytical…

Biological Physics · Physics 2010-03-22 Bao-quan Ai , Liqiu Wang , Lianggang Liu

We present a detailed study of the transport and energetics of a Brownian particle moving in a periodic potential in the presence of an adiabatic external periodic drive. The particle is considered to move in a medium with periodic space…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

We study the rectified transport of underdamped active noninteracting particles in an asymmetric periodic potential. It is found that the ratchet effect of active noninteracting particles occurs in a single direction (along the easy…

Soft Condensed Matter · Physics 2017-03-30 Bao-quan Ai , Feng-guo Li

We present a study of transport of a Brownian particle moving in periodic symmetric potential in the presence of asymmetric unbiased fluctuations. The particle is considered to move in a medium with periodic space dependent friction. By…

Biological Physics · Physics 2007-05-23 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , Hui-Zhang Xie , De-Hua Wen , Wei Chen , Liang-Gang Liu

On the basis of the transport features and experimental phenomena observed in studies of molecular motors, we proposea double-temperature ratchet model of coupled motors to reveal the dynamical mechanism of cooperative transport of motors…

Classical Physics · Physics 2017-02-24 Chen-pu Li , Hong-bin Chen , Zhi-gang Zheng

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

Transport properties of overdamped Brownian paricles in a rocked thermal ratchet with space dependent friction coefficient is studied. By tuning the parameters, the direction of current exhibit multiple reversals, both as a function of the…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

Statistical Mechanics · Physics 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

We investigate the dynamics of quantum particles in a ratchet potential subject to an ac force field. We develop a perturbative approach for weak ratchet potentials and force fields. Within this approach, we obtain an analytic description…

Statistical Mechanics · Physics 2009-11-07 Stefan Scheidl , Valerii M. Vinokur

A model of 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, is discussed. The general dynamics outlined in Sect. 2 is…

Statistical Mechanics · Physics 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

Transport of Brownian particles on a simple sawtooth potential subjected to both unbiased thermal and nonequilibrium symmetric three-level Markovian noise is considered. The new effects of three and four current reversals as a function of…

Soft Condensed Matter · Physics 2009-11-07 Risto Tammelo , Romi Mankin , Dmitri Martila

The transport of a walker in rocking feedback-controlled ratchets are investigated. The walker consists of two coupled "feet" that allow the interchange of the order of the particles while the walker moves. In the underdamped case, the…

Statistical Mechanics · Physics 2017-02-09 Tianfu Gao , Zhigang Zheng , Jincan Chen

We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases…

Soft Condensed Matter · Physics 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

We show that directed ratchet transport of a driven overdamped Brownian particle subjected to a spatially periodic and symmetric potential can be reliably controlled by tailoring a biharmonic temporal force, in coherence with the…

Statistical Mechanics · Physics 2015-06-12 Pedro J. Martínez , Ricardo Chacón

We consider the transport of rigid objects with internal structure in a flashing ratchet potential by investigating the overdamped behavior of a rod-like chain of evenly spaced point particles. In 1D, analytical arguments show that the…

Statistical Mechanics · Physics 2009-11-11 Erin M. Craig , Martin J. Zuckermann , Heiner Linke

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

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal…

Statistical Mechanics · Physics 2009-10-31 Peter Reimann

In this work, the ratchet dynamics of Brownian particles driven by an external sinusoidal (harmonic) force is investigated. The gating ratchet effect is observed when another harmonic is used to modulate the spatially symmetric potential in…

Statistical Mechanics · Physics 2015-03-24 Luis Dinis , Niurka R. Quintero

We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

We propose a generalization of the stochastic resetting mechanism for a Brownian particle diffusing in a one-dimensional periodic potential: randomly in time, the particle gets reset at the bottom of the potential well it was in. Numerical…

Statistical Mechanics · Physics 2025-08-18 Pulak K. Ghosh , Shubhadip Nayak , Jianli Liu , Yunyun Li , Fabio Marchesoni
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