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The emergence of particle irreversibility in periodically driven colloidal suspensions has been interpreted as resulting either from a nonequilibrium phase transition to an absorbing state or from the chaotic nature of particle…

Statistical Mechanics · Physics 2015-04-10 Elsen Tjhung , Ludovic Berthier

We consider a binary system of particles with repulsive interactions that move in opposite or perpendicular directions to each other under an applied external drive. For opposite driving, at higher drives a phase-separated laned state forms…

Statistical Mechanics · Physics 2025-12-17 C. Reichhardt , C. J. O. Reichhardt

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson

The dynamics of nonlinear flip-flop quantum walk with amplitude-dependent phase shifts with pertubing potential barrier is investigated. Through the adjustment between uniform local perturbations and a Kerrlike nonlinearity of the medium we…

Quantum Physics · Physics 2022-12-21 F. S. Passos , A. R. C. Buarque

Many phenomena in solid-state physics can be understood in terms of their topological properties. Recently, controlled protocols of quantum walks are proving to be effective simulators of such phenomena. Here we report the realization of a…

Dynamics of complex systems is often hierarchically organized on different time scales. To understand the physics of such hierarchy, here Brownian motion of a particle moving through a fluctuating medium with slowly varying temperature is…

Statistical Mechanics · Physics 2014-02-14 Sumiyoshi Abe

We present the results of a numerical investigation of charged-particle transport across a synthesized magnetic configuration composed of a constant homogeneous background field and a multiscale perturbation component simulating an effect…

Statistical Mechanics · Physics 2007-05-23 Francesco Chiaravalloti , Alexander V. Milovanov , Gaetano Zimbardo

Mott variable range hopping is a fundamental mechanism for low-temperature electron conduction in disordered solids in the regime of Anderson localization. In a mean field approximation, it reduces to a random walk (shortly, Mott random…

Probability · Mathematics 2016-05-13 Alessandra Faggionato , Nina Gantert , Michele Salvi

One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins. These phases result in remarkably robust macroscopic phenomena such as the edge modes in integer quantum Hall systems,…

We study the anomalous transport in systems of random walks (RW's) on comb-like lattices with fractal sidebranches, showing subdiffusion, and in a system of Brownian particles driven by a random shear along the x-direction, showing a…

Statistical Mechanics · Physics 2022-06-15 Fabio Cecconi , Giulio Costantini , Alessandro Taloni , Angelo Vulpiani

We show that propagating switching fronts mediate directional state transmission and polarity selection in a passive many-body suspension. In confined trains of slipper-shaped deformable particles in Poiseuille flow, this behavior…

Soft Condensed Matter · Physics 2026-04-08 Linzheng Huang , Hengdi Zhang , Zaicheng Zhang , Zaiyi Shen

This paper concerns the propagation of particles through a quenched random medium. In the one- and two-dimensional models considered, the local dynamics is given by expanding circle maps and hyperbolic toral automorphisms, respectively. The…

Dynamical Systems · Mathematics 2011-10-18 Tapio Simula , Mikko Stenlund

The diffusion of a two-dimensional array of particles driven by a constant force in the presence of a periodic external potential exhibits a hierarchy of dynamical phase transitions when the driving force is varied. This behavior can be…

Statistical Mechanics · Physics 2009-10-30 O. M. Braun , T. Dauxois , M. V. Paliy , M. Peyrard

We present our recent work on stochastic particle systems on complex networks. As a noninteracting system we first consider the diffusive motion of a random walker on heterogeneous complex networks. We find that the random walker is…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh

We consider the problem of stochastic flow of multiple particles traveling on a closed loop, with a constraint that particles move without passing. We use a Markov chain description that reduces the problem to a generalized random walk on a…

Probability · Mathematics 2007-05-23 J. D. Skufca

We investigate the dynamics of a charged particle confined to move on a toroidal helix while being driven by an external time-dependent electric field. The underlying phase space is analyzed for linearly and circularly polarized fields. For…

Chaotic Dynamics · Physics 2021-06-02 Ansgar Siemens , Peter Schmelcher

A quantitative model of the mobility of functionalized particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles anchored through…

Soft Condensed Matter · Physics 2024-06-19 Janna Lowensohn , Laurie Stevens , Daniel Goldstein , Bortolo Matteo Mognetti

Deformable self-propelled particles provide us with one of the most important nonlinear dissipative systems, which are related, for example, to the motion of microorganisms. It is emphasized that this is a subject of localized objects in…

Soft Condensed Matter · Physics 2015-06-17 M. Tarama , Y. Itino , A. M. Menzel , T. Ohta

Uphill currents are observed when mass diffuses in the direction of the density gradient. We study this phenomenon in stationary conditions in the framework of locally perturbed 1D Zero Range Processes (ZRP). We show that the onset of…

Statistical Mechanics · Physics 2017-12-06 Emilio N. M. Cirillo , Matteo Colangeli

In this paper we propose a generalized model for the motion of a two-species self-driven objects ranging from a scenario of a completely random environment of particles of negligible excluded volume to a more deterministic regime of rigid…

Statistical Mechanics · Physics 2019-05-08 Roberto da Silva , Eduardo V. Stock