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We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

Statistical Mechanics · Physics 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

A particle raft floating on an expanding liquid substrate provides a macroscopic analog for studying material failure. The time scales in this system allow both particle-relaxation dynamics and rift formation to be resolved. In our…

Soft Condensed Matter · Physics 2022-11-23 Khá-Î Tô , Sidney R. Nagel

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

Statistical Mechanics · Physics 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

In this paper, we study shocks and related transitions in asymmetric simple exclusion processes of particles with nearest neighbor interactions. We consider two kinds of inter-particle interactions. In one case, the particle-hole symmetry…

Statistical Mechanics · Physics 2009-11-13 Sutapa Mukherji

We present a general framework to study the distribution of the flux through the origin up to time $t$, in a non-interacting one-dimensional system of particles with a step initial condition with a fixed density $\rho$ of particles to the…

Statistical Mechanics · Physics 2020-05-06 Tirthankar Banerjee , Satya N. Majumdar , Alberto Rosso , Gregory Schehr

A simplified model of particle transport at a quasiparallel one-dimensional collisionless shock is suggested. In this model the MHD-turbulence behind the shock is dominated by a circularly polarized, large amplitude Alfv\'en wave originated…

Astrophysics · Physics 2008-11-26 M. A. Malkov

We study the effect of quenched spatial disorder on the steady states of driven systems of interacting particles. Two sorts of models are studied: disordered drop-push processes and their generalizations, and the disordered asymmetric…

Statistical Mechanics · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

Gradient-driven diffusion in crowded, multicomponent mixtures is a topic of high interest because of its role in biological processes such as transport in cell membranes. In partially phase-separated solutions, gradient-driven diffusion…

Soft Condensed Matter · Physics 2017-02-15 Prithviraj Nandigrami , Brandy Grove , Andrew Konya , Robin L. B. Selinger

A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focussed on the macroscopic self-diffusion process observed when the system is looked from above or from below. The…

Statistical Mechanics · Physics 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

The velocity relaxation of an impulsively forced spherical particle in a fluid confined by two parallel plane walls is studied using a direct numerical simulation approach. During the relaxation process, the momentum of the particle is…

Fluid Dynamics · Physics 2015-06-15 Rei Tatsumi , Ryoichi Yamamoto

In this paper, we address the motion of charged particles subjected to a discrete spectrum of electrostatic waves. We focus on situations when transport dominates, leading to significant variations in particle velocity. Nonetheless, these…

Plasma Physics · Physics 2025-10-23 Didier Bénisti

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

We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the role of the chaotic dynamics in the…

chao-dyn · Physics 2009-10-31 Jose L. Mateos

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

Experiments have shown that self-propelled particles can slide along the surface of a circular obstacle without becoming trapped over long times. Using simulations and theory, we study the impact of boundary conditions on the diffusive…

Biological Physics · Physics 2019-01-30 Theresa Jakuszeit , Ottavio A. Croze , Samuel Bell

We developed analytical and numerical methods to study a transport of non-interacting particles in large networks consisting of M d-dimensional containers C_1,...,C_M with radii R_i linked together by tubes of length l_{ij} and radii a_{ij}…

Statistical Mechanics · Physics 2009-11-11 L. Lizana , Z. Konkoli

The standard setup for single-file diffusion is diffusing particles in one dimension which cannot overtake each other, where the dynamics of a tracer (tagged) particle is of main interest. In this article we generalise this system and…

Statistical Mechanics · Physics 2015-06-18 Robin Forsling , Lloyd Sanders , Tobias Ambjörnsson , Ludvig Lizana

A simple model of the driven motion of interacting particles in a two dimensional random medium is analyzed, focusing on the critical behavior near to the threshold that separates a static phase from a flowing phase with a steady-state…

Statistical Mechanics · Physics 2008-02-03 Joe Watson , Daniel S. Fisher

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

Statistical Mechanics · Physics 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

Self-propelled particles accumulate on repulsive barriers in so-called active wetting, but the relationship between this process and equilibrium wetting remains unclear. Using an exact (noiseless) hydrodynamic framework for an active…

Statistical Mechanics · Physics 2025-12-10 Noah Grodzinski , Robert L. Jack , Michael E. Cates