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A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a…

Statistical Mechanics · Physics 2025-11-04 Marina V. Yashina , Alexander G. Tatashev

Depending on how the dynamical activity of a particle in a random environment is influenced by an external field $E$, its differential mobility at intermediate $E$ can turn negative. We discuss the case where for slowly changing random…

Statistical Mechanics · Physics 2014-06-13 Urna Basu , Christian Maes

We introduce and study a model of hardcore particles obeying run-and-tumble dynamics on a one-dimensional lattice, where particles run in either +ve or -ve $x$-direction with an effective speed $v$ and tumble (change their direction of…

Statistical Mechanics · Physics 2023-06-28 Indranil Mukherjee , Adarsh Raghu , P. K. Mohanty

We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a theoretical ground for our findings, we exploit mean-field…

Statistical Mechanics · Physics 2021-08-04 Akriti Jindal , Arvind Kumar Gupta

We characterize collective diffusion of hardcore run-and-tumble particles (RTPs) by explicitly calculating the bulk-diffusion coefficient $D(\rho, \gamma)$ in two minimal models on a $d$ dimensional periodic lattice for arbitrary density…

Statistical Mechanics · Physics 2024-03-12 Tanmoy Chakraborty , Punyabrata Pradhan

The effect of a moving defect particle for the one-dimensional partially asymmetric simple exclusion process on a ring is considered. The current of the ordinary particles, the speed of the defect particle and the density profile of the…

Statistical Mechanics · Physics 2007-05-23 Tomohiro Sasamoto

We study a minimal model of self-propelled particle in a crowded single-file environment. We extend classical models of exclusion processes (previously analyzed for diffusive and driven tracer particles) to the case where the tracer…

Statistical Mechanics · Physics 2018-12-26 Thibault Bertrand , Pierre Illien , Olivier Bénichou , Raphaël Voituriez

We investigate the motion of heavy particles with a diameter of several multiples of the Kolmogorov length scale in the presence of forced turbulence and gravity, resorting to interface-resolved DNS based on an IBM. The values of the…

Fluid Dynamics · Physics 2026-01-28 Agathe Chouippe , Markus Uhlmann

The presence of temporal correlations in random movement trajectories is a widespread phenomenon across biological, chemical and physical systems. The ubiquity of persistent and anti-persistent motion in many natural and synthetic systems…

Statistical Mechanics · Physics 2024-07-03 Daniel Marris , Luca Giuggioli

We consider the totally asymmetric simple exclusion process (TASEP) on the periodic chain in the presence of a single impurity site that is inaccessible to other particles and therefore acts as a static defect. Particles are allowed to…

Statistical Mechanics · Physics 2010-01-04 J. Szavits-Nossan , K. Uzelac

We study a model for microscopic segregation in a homogeneous system of particles moving on a one-dimensional lattice. Particles tend to separate from each other, and evolution ceases when at least one empty site is found between any two…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Santiago Gil , Damian H. Zanette

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

A class of exclusion processes in which particles perform history-dependent random walks is introduced, stimulated by dynamic phenomena in some biological and artificial systems. The particles locally interact with the underlying substrate…

Biological Physics · Physics 2011-08-15 Johannes H. P. Schulz , Anatoly B. Kolomeisky , Erwin Frey

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

Soft Condensed Matter · Physics 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

Multi-particle dynamics in one-dimensional asymmetric exclusion processes with disorder is investigated theoretically by computational and analytical methods. It is argued that the general phase diagram consists of three non-equilibrium…

Statistical Mechanics · Physics 2009-11-13 M. Ebrahim Foulaadvand , Anatoly Kolomeisky , Hamid Teymouri

We introduce a model for stochastic transport on a one-dimensional substrate with particles assuming different conformations during their stepping cycles. These conformations correspond to different footprints on the substrate: in order to…

Statistical Mechanics · Physics 2019-06-26 Yvan Rousset , Luca Ciandrini , Norbert Kern

We study transport of interacting particles in weakly disordered media. Our one-dimensional system includes (i) disorder: the hopping rate governing the movement of a particle between two neighboring lattice sites is inhomogeneous, and (ii)…

Statistical Mechanics · Physics 2009-05-13 E. Ben-Naim , P. L. Krapivsky

In a recent study, (Jain et al 2007 Phys. Rev. Lett. 99 190601), a symmetric exclusion process with time-dependent hopping rates was introduced. Using simulations and a perturbation theory, it was shown that if the hopping rates at two…

Statistical Mechanics · Physics 2008-11-17 Rahul Marathe , Kavita Jain , Abhishek Dhar

This paper analyses the impact of collisions in a system of $N$ identical hard-core particles driven according to a velocity jump process. The physical space is essentially a channel in $\mathbb{R}$ with a probability of occupants being…

Statistical Mechanics · Physics 2023-02-24 Gayani Tennakoon , Stephen W. Taylor

We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy