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We consider the motion of a particle governed by a weakly random Hamiltonian flow. We identify temporal and spatial scales on which the particle trajectory converges to a spatial Brownian motion. The main technical issue in the proof is to…

数学物理 · 物理学 2009-11-11 T. Komorowski , L. Ryzhik

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows…

统计力学 · 物理学 2007-05-23 Debasis Dan , A. M. Jayannavar

The "Brownian bees" model describes a system of $N$ independent branching Brownian particles. At each branching event the particle farthest from the origin is removed, so that the number of particles remains constant at all times.…

统计力学 · 物理学 2021-03-30 Baruch Meerson , Pavel Sasorov

We study Brownian particle motion in a double-well potential driven by an ac force. This system exhibits the phenomenon of stochastic resonance. Distribution of work done on the system over a drive period in the time asymptotic regime have…

统计力学 · 物理学 2009-11-13 Shantu Saikia , Ratnadeep Roy , A. M. Jayannavar

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…

统计力学 · 物理学 2025-08-18 Pulak K. Ghosh , Shubhadip Nayak , Jianli Liu , Yunyun Li , Fabio Marchesoni

Autonomous active Brownian ratchets rectify active Brownian particle motion solely by means of a spatially modulated but stationary activity, without external forces. We argue that such ratcheting requires at least a two-dimensional…

软凝聚态物质 · 物理学 2023-05-24 Constantin Rein , Martin Kolář , Klaus Kroy , Viktor Holubec

The Brownian motion of microscopic particles is driven by the collisions with the molecules of the surrounding fluid. The noise associated with these collisions is not white, but coloured due, e.g., to the presence of hydrodynamic memory.…

统计力学 · 物理学 2012-10-04 Scott Hottovy , Giovanni Volpe , Jan Wehr

The problem of transport through nanochannels is one of the major questions in cell biology, with a wide range of applications. Brownian ratchets are fundamental in various biochemical processes, and are roughly divided into two categories:…

软凝聚态物质 · 物理学 2013-07-24 Anna Lappala , Alessio Zaccone , Eugene M. Terentjev

Numerical algorithms are proposed for simulating the Brownian dynamics of charged particles in an external magnetic field, taking into account the Brownian motion of charged particles, damping effect and the effect of magnetic field…

计算物理 · 物理学 2009-05-21 L. J. Hou , Z. L. Mišković , A. Piel , P. K. Shukla

We give an overview over recent studies on the model of Active Brownian Motion (ABM) coupled to reservoirs providing free energy which may be converted into kinetic energy of motion. First, we present an introduction to a general concept of…

数据分析、统计与概率 · 物理学 2009-11-13 Alessandro Fiasconaro , Werner Ebeling , Ewa Gudowska-Nowak

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

A Brownian information machine extracts work from a heat bath through a feedback process that exploits the information acquired in a measurement. For the paradigmatic case of a particle trapped in a harmonic potential, we determine how…

统计力学 · 物理学 2012-04-09 Michael Bauer , David Abreu , Udo Seifert

We consider the system of sticky-reflected Brownian particles on the real line proposed in [arXiv:1711.03011]. The model is a modification of the Howitt-Warren flow but now the diffusion rate of particles is inversely proportional to the…

概率论 · 数学 2021-04-30 Vitalii Konarovskyi

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…

软凝聚态物质 · 物理学 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

A Brownian particle's random motions can be rectified by a periodic potential energy landscape that alternates between two states, even if both states are spatially symmetric. If the two states differ only by a discrete translation, the…

软凝聚态物质 · 物理学 2009-11-11 Sang-Hyuk Lee , David G. Grier

We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which…

软凝聚态物质 · 物理学 2022-12-06 Carlos Antonio Guevara-Valadez , Rahul Marathe , Juan Ruben Gomez-Solano

Having a priori knowledge of the force acting on a noisy system it is possible to solve the issue relative to the interpretation of multiplicative noise terms (aka Ito-Stratonovich dilemma). We experimentally show that for a Brownian…

软凝聚态物质 · 物理学 2011-07-15 Giovanni Volpe , Laurent Helden , Thomas Brettschneider , Jan Wehr , Clemens Bechinger

We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation Cost Inequalities for stochastic…

概率论 · 数学 2010-11-11 Soumik Pal , Mykhaylo Shkolnikov

Plasmon-enhanced Raman scattering (PERS) becomes nonlinear when phonon pumping and phonon-stimulated scattering come into play. It is fundamental to the understanding of PERS and its photobleaching behavior. By quantization of the molecular…

介观与纳米尺度物理 · 物理学 2017-05-31 Tian Yang , Jing Long , Xiaodan Wang

We study a noisy drive mechanism for efficiency enhancement of Brownian motors operating on the micro-scale domain. It was proven [J. Spiechowicz et al., J. Stat. Mech. P02044, (2013)] that biased noise $\eta(t)$ can induce normal and…

统计力学 · 物理学 2014-09-09 Jakub Spiechowicz , Peter Hänggi , Jerzy Łuczka