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Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…

A trapping mechanism for propelled colloidal particles based on an inhomogeneous drive is presented and studied by means of computer simulations. In experiments this method can be realized using photophoretic Janus particles driven by a…

Computational Physics · Physics 2015-07-21 Martin P. Magiera , Lothar Brendel

The forcing of particles in turbulent environments influences dynamical properties pertinent to many fundamental applications involving particle-flow interactions. Current study explores the determination of forcing for one-way coupled…

Fluid Dynamics · Physics 2026-02-17 Daniel Domínguez-Vázquez , Qi Wang , Gustaaf B. Jacobs

We consider the asymmetric simple exclusion process (ASEP) on a finite lattice with periodic boundary conditions, conditioned to carry an atypically low current. For an infinite discrete set of currents, parametrized by the driving strength…

Probability · Mathematics 2016-12-13 G. M. Schütz

We address the dynamics of interacting particles on a disordered lattice formed by a random comb. The dynamics comprises that of the asymmetric simple exclusion process, whereby motion to nearest-neighour sites that are empty is more likely…

Statistical Mechanics · Physics 2025-06-03 Mrinal Sarkar , Shamik Gupta

One particle in a classical perfect gas is driven out of equilibrium by changing its mass over a short time interval. The work done on the driven particle depends on its collisions with the other particles in the gas. This model thus…

Statistical Mechanics · Physics 2014-04-22 T. G. Philbin , J. Anders

A prerequisite for isolating diseased cells requires a mechanism for effective mass-based separation. This objective, however, is generally rather challenging because typically no valid correlation exists between the size of the particles…

Statistical Mechanics · Physics 2019-03-27 Aleksandra Słapik , Jerzy Łuczka , Peter Hänggi , Jakub Spiechowicz

We introduce detector-level entanglement, a unified entanglement concept for identical particles that takes into account the possible deletion of many-particle which-way information through the detection process. The concept implies a…

A two-parameter family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice is introduced, which contains the asymmetric simple exclusion process and the drop-push model as particular cases. The process is…

Statistical Mechanics · Physics 2009-11-10 Farinaz Roshani , Mohammad Khorrami

We consider Activated Random Walks on $\Z$ with totally asymmetric jumps and critical particle density, with different time scales for the progressive release of particles and the dissipation dynamics. We show that the cumulative flow of…

Probability · Mathematics 2020-08-14 Manuel Cabezas , Leonardo T. Rolla

Increasing the crowding in an environment does not necessarily trigger negative differential mobility of strongly pushed particles. Moreover, the choice of the model, in particular the kind of microscopic jump rates, may be very relevant in…

Statistical Mechanics · Physics 2015-10-13 Marco Baiesi , Attilio L. Stella , Carlo Vanderzande

We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative,…

Statistical Mechanics · Physics 2014-04-30 Roman Mani , Lucas Böttcher , Hans J. Herrmann , Dirk Helbing

A quantal guiding center theory allowing to systematically study the separation of the different time scale behaviours of a quantum charged spinning particle moving in an external inhomogeneous magnetic filed is presented. A suitable set of…

High Energy Physics - Theory · Physics 2008-11-26 P. Maraner

In the absence of directional motion it is often hard to recognize athermal fluctuations. Probability currents provide such a measure in terms of the rate at which they enclose area in the reduced phase space. We measure this area enclosing…

We consider simple exclusion processes on Z for which the underlying random walk has a finite first moment and a non-zero mean and whose initial distributions are product measures with different densities to the left and to the right of the…

Probability · Mathematics 2011-11-10 E. Andjel , P. A. Ferrari , A. Siqueira

We consider a particle moving in continuous time as a Markov jump process; its discrete chain is given by an ordinary random walk on ${\mathbb Z}^d$ , and its jump rate at $({\mathbf x},t)$ is given by a fixed function $\varphi$ of the…

Probability · Mathematics 2025-01-03 Luiz Renato Fontes , Pablo Almeida Gomes , Maicon Aparecido Pinheiro

This work concerns weakly confined particle systems in the plane, characterized by a large number of outliers away from a droplet where the bulk of the particles accumulate in the many-particle limit. We are interested in the asymptotic…

Probability · Mathematics 2023-07-20 Raphael Butez , David García-Zelada , Alon Nishry , Aron Wennman

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

We study the stationary properties as well as the non-stationary dynamics of the one-dimensional partially asymmetric exclusion process with position dependent random hop rates. In a finite system of $L$ sites the stationary current, $J$,…

Statistical Mechanics · Physics 2010-08-09 Róbert Juhász , Ludger Santen , Ferenc Iglói

This review treats asymmetric colloidal particles moving through their host fluid under the action of some form of propulsion. The propulsion can come from an external body force or from external shear flow. It may also come from…

Fluid Dynamics · Physics 2020-09-14 Thomas A. Witten , Haim Diamant
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