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There is a growing interest in the stochastic processes of nonequilibrium systems subject to non-conserved forces, such as the magnetic forces acting on charged particles and the chiral self-propelled force acting on active particles. In…

统计力学 · 物理学 2021-12-15 Hiromichi Matsuyama , Kunimasa Miyazaki

Stochastic motion of particles in a highly unstable potential generates a number of diverging trajectories leading to undefined statistical moments of the particle position. This makes experiments challenging and breaks down a standard…

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 the effects of an intermittent harmonic potential of strength $\mu = \mu_0 \nu$ -- that switches on and off stochastically at a constant rate $\gamma$, on an overdamped Brownian particle with damping coefficient $\nu$. This can be…

统计力学 · 物理学 2021-07-28 Ion Santra , Santanu Das , Sujit Kumar Nath

Protein translocation in cells has been modelled by \emph{Brownian ratchets}. In such models, the protein diffuses through a nanopore. On one side of the pore, ratcheting molecules bind to the protein and hinder it to diffuse out of the…

概率论 · 数学 2009-12-07 Andrej Depperschmidt , Peter Pfaffelhuber

The directional transport of finite size self-propelled Brownian particles confined in a 2D zigzag channel with colored noise is investigated. The noises(noise parallel to x-axis and y-axis), the asymmetry parameter {\Delta}k, the ratio…

统计力学 · 物理学 2021-02-03 Bing Wang , Yong Wu , Xiaoxiao Zhang , Hao Chen

We consider a Brownian particle diffusing in a one dimensional interval with absorbing end points. We study the ramifications when such motion is interrupted and restarted from the same initial configuration. We provide a comprehensive…

统计力学 · 物理学 2019-04-01 Arnab Pal , V. V. Prasad

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

混沌动力学 · 物理学 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

We report on experimental evidence of directed electron transport, induced by external linear-polarized microwave irradiation, in a two-dimensional spatially-periodic asymmetrical system called ratchet. The broken spatial symmetry was…

介观与纳米尺度物理 · 物理学 2009-11-13 S. Sassine , Yu. Krupko , J. -C. Portal , Z. D. Kvon , R. Murali , K. P. Martin , G. Hill , A. D. Wieck

We consider a massive inelastic piston, whose opposite faces have different coefficients of restitution, moving under the action of an infinitely dilute gas of hard disks maintained at a fixed temperature. The dynamics of the piston is…

统计力学 · 物理学 2008-06-06 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi

We study the microwave induced ratchet transport of two-dimensional electrons on an oriented semidisk Galton board. The magnetic field symmetries of ratchet transport are analyzed in presence of electron-electron interactions. Our results…

介观与纳米尺度物理 · 物理学 2013-02-25 Leonardo Ermann , Alexei D. Chepelianskii , Dima L. Shepelyansky

Motivated by uncertainty quantification in natural transport systems, we investigate an individual-based transport process involving particles undergoing a random walk along a line of point sinks whose strengths are themselves independent…

统计力学 · 物理学 2016-10-26 Matthew J. Russell , Oliver E. Jensen , Tobias Galla

Last year in [Phys. Rev. E 102, 042121 (2020)] the authors studied an overdamped dynamics of nonequilibrium noise driven Brownian particle dwelling in a spatially periodic potential and discovered a novel class of Brownian, yet non-Gaussian…

统计力学 · 物理学 2021-12-22 Karol Białas , Jakub Spiechowicz

During a random search, resetting the searcher's position from time to time to the starting point often reduces the mean completion time of the process. Although many different resetting models have been studied over the past ten years,…

统计力学 · 物理学 2022-09-15 Gabriel Mercado-Vásquez , Denis Boyer , Satya N. Majumdar

We present analytic results for the current in a system moving in an arbitrary periodic potential and driven by weak Gaussian noise with an arbitrary power spectrum which are valid to order (t_c/t_r)^2, where t_c is the largest…

凝聚态物理 · 物理学 2009-10-22 Mark M. Millonas , Mark I. Dykman

We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the…

统计力学 · 物理学 2020-11-04 Gennaro Tucci , Andrea Gambassi , Shamik Gupta , Édgar Roldán

It seems that a stochastic system must be a nonlinear one to observe the phenomenon, noise induced transition. But in the present paper, we have demonstrated that the phenomenon may be observed even in a linear stochastic process where both…

统计力学 · 物理学 2022-01-04 Shrabani Mondal , L. R. Rahul Biswas , Mousumi Biswas , Bidhan Chandra Bag

Under rapid undercooling, glass forming liquids freeze in an amorphous state that can equilibrate only on enormously long time-scales, This is the characteristic sign of aging, which has been observed in a wide range of systems. Brownian…

This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of…

凝聚态物理 · 物理学 2009-10-28 Cecile MONTHUS

We numerically investigate the ratchet transport of mixtures of active and passive particles in a transversal asymmetric channel.A big passive particle is immersed in a 'sea' of active particles. Due to the chirality of active particles,…

软凝聚态物质 · 物理学 2016-12-28 Bao-quan Ai