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Active particles, which are self-propelled nonequilibrium systems, are modelled by overdamped Langevin equations with colored noise, emulating the self-propulsion. In this chapter, we present a review of the theoretical results for the…

统计力学 · 物理学 2025-03-12 Urna Basu , Sanjib Sabhapandit , Ion Santra

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

软凝聚态物质 · 物理学 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

We derive a version of the so-called "best Fokker-Planck approximation" (BFPA) to describe the spatial properties of interacting active Ornstein-Uhlenbeck particles (AOUPs) in arbitrary spatial dimensions. In doing so, we also take into…

软凝聚态物质 · 物理学 2025-03-26 René Wittmann , Iman Abdoli , Abhinav Sharma , Joseph M. Brader

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

生物物理 · 物理学 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model…

介观与纳米尺度物理 · 物理学 2009-11-11 M. I. Dykman , L. F. Santos , M. Shapiro

Micron-sized particles moving through solution in response to self-generated chemical gradients serve as model systems for studying active matter. Their far-reaching potential applications will require the particles to sense and respond to…

软凝聚态物质 · 物理学 2016-03-09 W. E. Uspal , M. N. Popescu , S. Dietrich , M. Tasinkevych

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is…

数学物理 · 物理学 2014-04-22 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang

We study systems of active particles, whose perception is constrained by a vision cone, that are attracted to other particles and repelled from static obstacles. We report a novel self-trapping mechanism: active particles with…

统计力学 · 物理学 2024-11-08 Rodrigo Saavedra , Fernando Peruani

We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environment. Imitating typical settings of active micro-rheology…

统计力学 · 物理学 2016-03-17 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

We numerically investigate the diffusive behavior of active Brownian particles in a two-dimensional confined channel filled with soft obstacles, whose softness is controlled by a parameter $K$. Here, active particles are subjected to…

软凝聚态物质 · 物理学 2024-10-22 Ankit Gupta , P. S. Burada

Self-organisation is the spontaneous emergence of spatio-temporal structures and patterns from the interaction of smaller individual units. Examples are found across many scales in very different systems and scientific disciplines, from…

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

流体动力学 · 物理学 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz

By working in the small persistence time limit, we determine the steady-state distribution of an Active Ornstein Uhlenbeck Particle (AOUP) experiencing, in addition to self-propulsion, a Gaussian white noise modelling a bath at temperature…

统计力学 · 物理学 2021-05-26 David Martin , Thibaut Arnoulx de Pirey

We consider an overdamped particle with a general physical mechanism that creates noisy active movement (e.g., a run-and-tumble particle or active Brownian particle etc.), that is confined by an external potential. Focusing on the limit in…

统计力学 · 物理学 2023-08-23 Naftali R. Smith

We study the single-file dynamics of three classes of active particles: run-and-tumble particles, active Brownian particles and active Ornstein-Uhlenbeck particles. At high activity values, the particles, interacting via purely repulsive…

统计力学 · 物理学 2020-09-08 Pritha Dolai , Arghya Das , Anupam Kundu , Chandan Dasgupta , Abhishek Dhar , K. Vijay Kumar

We consider one-dimensional systems comprising either active run-and-tumble particles (RTPs) or passive Brownian random walkers. These particles are either noninteracting or have hardcore exclusions. We study the dynamics of a single tracer…

统计力学 · 物理学 2022-02-11 Tirthankar Banerjee , Robert L. Jack , Michael E. Cates

We study dynamical properties of confined, self-propelled Brownian particles in an inhomogeneous activity profile. Using Brownian dynamics simulations, we calculate the probability to reach a fixed target and the mean first passage time to…

软凝聚态物质 · 物理学 2019-08-30 Hidde Vuijk , Abhinav Sharma , Debasish Mondal , Jens-Uwe Sommer , Holger Merlitz

We study the dynamics of a one-dimensional run and tumble particle subjected to confining potentials of the type $V(x) = \alpha \, |x|^p$, with $p>0$. The noise that drives the particle dynamics is telegraphic and alternates between $\pm 1$…

统计力学 · 物理学 2022-06-22 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Grégory Schehr

Typically the motion of self-propelled active particles is described in a quiescent environment establishing an inertial frame of reference. Here we assume that friction, self-propulsion and uctuations occur relative to a non-inertial frame…

软凝聚态物质 · 物理学 2019-06-26 Hartmut Löwen

We investigate a minimal chase-and-escape model on a two-dimensional square lattice with randomly distributed static obstacles, focusing on how geometric disorder controls collective pursuit dynamics. Chasers and escapers move according to…

统计力学 · 物理学 2026-01-13 R. G. Rossatto , H. Ariel Alvarez , C. Manuel Carlevaro , José Rafael Bordin