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We study a model of interacting run-and-tumble random walkers operating under mutual hardcore exclusion on a one-dimensional lattice with periodic boundary conditions. We incorporate a finite, Poisson-distributed, tumble duration so that a…

统计力学 · 物理学 2017-08-18 A. B. Slowman , M. R. Evans , R. A. Blythe

We study the long-time behavior of two run-and-tumble particles on the real line subjected to an attractive interaction potential and jamming interactions, which prevent the particles from crossing. We provide the explicit invariant…

概率论 · 数学 2025-01-22 Leo Hahn

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

软凝聚态物质 · 物理学 2015-06-16 Rodrigo Soto , Ramin Golestanian

Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at…

统计力学 · 物理学 2024-01-12 Luca Angelani

We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in $d$ dimensions. We work within the ballistic regime whereby particles continue to hop in…

统计力学 · 物理学 2020-11-23 Matthew J. Metson , Martin R. Evans , Richard A. Blythe

Active particles such as swimming bacteria or self-propelled colloids are known to spontaneously organize into fascinating large-scale dynamic structures. The emergence of these collective states from the motility pattern of the individual…

软凝聚态物质 · 物理学 2019-11-20 Hamid Karan , Gerardo E. Pradillo , Petia M. Vlahovska

We study the steady-state distribution function of a run-and-tumble particle evolving around a repulsive hard spherical obstacle. We show that the well-documented activity-induced attraction translates into a delta peak accumulation at the…

统计力学 · 物理学 2023-09-01 Thibaut Arnoulx de Pirey , Frédéric van Wijland

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,…

软凝聚态物质 · 物理学 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

Recently we studied $N$ run-and-tumble particles in one dimension - which switch with rate $\gamma$ between driving velocities $\pm v_0$ - interacting via the long range 1D Coulomb potential (also called rank interaction), both in the…

统计力学 · 物理学 2025-02-14 Léo Touzo , Pierre Le Doussal

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle density, we add both interactions and noise,…

统计力学 · 物理学 2008-08-14 J. Tailleur , M. E. Cates

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…

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

统计力学 · 物理学 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

Using the framework of generalized exclusion processes we study mixtures of passive and active particles interacting by steric repulsion. The particles move in a pore with periodically modulated aperture, which is modeled by a…

统计力学 · 物理学 2025-08-14 Frantisek Slanina , Miroslav Kotrla

{\it E. coli} bacteria swim in straight runs interrupted by sudden reorientation events called tumbles. The resulting random walks give rise to density fluctuations that can be derived analytically in the limit of non interacting particles…

统计力学 · 物理学 2013-09-05 M. Paoluzzi , R. Di Leonardo , L. Angelani

We study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation {\theta} of the particle can assume a set of n possible discrete values while in the second case {\theta} is a…

统计力学 · 物理学 2020-06-17 Ion Santra , Urna Basu , Sanjib Sabhapandit

We numerically examine the transport of active run-and-tumble particles driven with a drift force over random disordered landscapes comprised of fixed obstacles. For increasing run lengths, the net particle transport initially increases…

软凝聚态物质 · 物理学 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

The motion of a tagged degree of freedom can give important insight in the interactions present in a complex environment. We investigate the dynamics of a tagged particle in two non-equilibrium systems that consist of interacting…

统计力学 · 物理学 2020-12-22 Stefanie Put , Jonas Berx , Carlo Vanderzande

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…

统计力学 · 物理学 2023-06-28 Indranil Mukherjee , Adarsh Raghu , P. K. Mohanty

Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial…

统计力学 · 物理学 2015-03-29 Jens Elgeti , Gerhard Gompper

A random walk scheme, consisting of alternating phases of regular Brownian motion and L\'evy walks, is proposed as a model for run-and-tumble bacterial motion. Within the continuous-time random walk approach we obtain the long-time and…

生物物理 · 物理学 2017-01-26 Felix Thiel , Lutz Schimansky-Geier , Igor M. Sokolov
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