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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…

经典分析与常微分方程 · 数学 2013-05-09 Dmitry Vorotnikov

We study the flashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure diffusion equation. We show that the motor really…

偏微分方程分析 · 数学 2012-01-13 Dmitry Vorotnikov

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

统计力学 · 物理学 2009-06-05 Peter Hanggi , Fabio Marchesoni

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…

经典物理 · 物理学 2017-02-24 Chen-pu Li , Hong-bin Chen , Zhi-gang Zheng

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…

软凝聚态物质 · 物理学 2009-11-07 Lorenzo Marrucci , Domenico Paparo , Markus Kreuzer

We demonstrate a Brownian motor, based on cold atoms in optical lattices, where isotropic random fluctuations are rectified in order to induce controlled atomic motion in arbitrary directions. In contrast to earlier demonstrations of…

A ratchet model for coupled Brownian motors, inspired by the motion of individual two-headed molecular motors on cytoskeletal filaments, is proposed. Such motors are modeled as two elastically coupled Brownian particles, each of which moves…

软凝聚态物质 · 物理学 2009-11-07 Debasis Dan , A. M. Jayannavar , Gautam I. Menon

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…

统计力学 · 物理学 2009-10-31 Peter Reimann

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…

统计力学 · 物理学 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

The diffusion of a molecular motor in the presence of a constant external force is considered on the basis of a simple theoretical model. The motor is represented by a Brownian particle moving in a series of parabolic potentials placed…

统计力学 · 物理学 2016-06-01 Ryota Shinagawa , Kazuo Sasaki

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

统计力学 · 物理学 2009-11-13 R. Dean Astumian

We study a Brownian motor, based on cold atoms in optical lattices, where atomic motion can be induced in a controlled manner in an arbitrary direction, by rectification of isotropic random fluctuations. In contrast with ratchet mechanisms,…

The mathematical formulation of the model for molecular movement of single motor proteins driven by cyclic biochemical reactions in an aqueous environment leads to a drifted Brownian motion characterized by coupled diffusion equations. In…

统计力学 · 物理学 2007-05-23 Hong Qian

Properties of transport of molecular motors are investigated. A simplified model based on the concept of Brownian ratchets is applied. We analyze a stochastic equation of motion by means of numerical methods. The transport is systematically…

统计力学 · 物理学 2011-12-07 Lukasz Machura , Marcin Kostur , Jerzy Luczka

We study a model for the translocation of proteins across membranes through a nanopore using a ratcheting mechanism. When the protein enters the nanopore it diffuses in and out of the pore according to a Brownian motion. Moreover, it is…

概率论 · 数学 2011-07-27 A. Depperschmidt , N. Ketterer , P. Pfaffelhuber

We present here a detailed study of the behaviour of a three dimensional Brownian motor based on cold atoms in a double optical lattice [P. Sjolund et al., Phys. Rev. Lett. 96, 190602 (2006)]. This includes both experiments and numerical…

原子物理 · 物理学 2007-09-18 P. Sjolund , S. J. H. Petra , C. M. Dion , H. Hagman , S. Jonsell , A. Kastberg

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…

统计力学 · 物理学 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

Diffusion and rectification of Brownian particles powered by a rotating wheel are numerically investigated in a two-dimensional channel. The nonequilibrium driving comes from the rotating wheel, which can break thermodynamical equilibrium…

统计力学 · 物理学 2017-07-24 Bao-quan Ai

We study subdiffusive ratchet transport in periodically and randomly flashing potentials. Central Brownian particle is elastically coupled to surrounding auxiliary Brownian quasi-particles which account for the influence of viscoelastic…

统计力学 · 物理学 2012-06-04 Vasyl Kharchenko , Igor Goychuk

The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale techniques are used to derive general formulae for the steady…

统计力学 · 物理学 2007-05-23 G. A. Pavliotis
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