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The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

软凝聚态物质 · 物理学 2025-03-11 Rodrigo Soto

Active Brownian particles (ABPs) and Run-and-Tumble particles (RTPs) both self-propel at fixed speed $v$ along a body-axis ${\bf u}$ that reorients either through slow angular diffusion (ABPs) or sudden complete randomisation (RTPs). We…

统计力学 · 物理学 2015-10-12 A. P. Solon , M. E. Cates , J. Tailleur

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 carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

偏微分方程分析 · 数学 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

Active Brownian particles (ABPs) are termed out to be a successful way of modeling the moving microorganism on the substrate. In recent studies, it is shown that such organisms can sense the characteristics of the substrate. Motivated by…

软凝聚态物质 · 物理学 2023-10-31 Pawan Kumar Mishra , Ajeya Krishna , Shradha Mishra

We consider stochastic dynamics of a particle on a plane in presence of two noises and a confining parabolic potential - an analog of the experimentally-relevant Brownian Gyrator (BG) model. In contrast to the standard BG model, we suppose…

统计力学 · 物理学 2025-12-16 Timothée Herbeau , Leonid Pastur , Pascal Viot , Gleb Oshanin

We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be…

统计力学 · 物理学 2023-08-09 Samuel Cameron , Majid Mosayebi , Rachel Bennett , Tanniemola B. Liverpool

In this paper, a generalized Brownian motion model has been applied to describe the relative particle dispersion problem in more realistic turbulent flows. The fluctuating pressure forces acting on a fluid particle are taken to be a colored…

流体动力学 · 物理学 2015-08-07 Bhimsen Shivamoggi

We use a standard minimal active Brownian model to investigate the osmotic-like effective pressure generated by active fluids on fixed hollow inclusions. These inclusions are enclosed by a permeable (albeit nonflexible) membrane, and the…

软凝聚态物质 · 物理学 2024-04-26 Mahmoud Sebtosheikh , Ali Naji

The transport of active particles may occur in complex environments, in which it emerges from the interplay between the mobility of the active components and the quenched disorder of the environment. Here we explore structural and dynamical…

软凝聚态物质 · 物理学 2023-03-31 Fergus J. Moore , John Russo Tanniemola B. Liverpool , C. Patrick Royall

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

统计力学 · 物理学 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

其他凝聚态物理 · 物理学 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

In contrast with a gas at thermodynamic equilibrium, the mean force exerted on a wall by a gas of active particles usually depends on the confining potential, thereby preventing a proper definition of mechanical pressure. In this paper, we…

软凝聚态物质 · 物理学 2017-05-10 Marc Joyeux

Recent advances in micro- and nano-technologies allow the construction of complex active systems from biological and synthetic materials. An interesting example is active vesicles, which consist of a membrane enclosing self-propelled…

软凝聚态物质 · 物理学 2024-06-04 Priyanka Iyer , Gerhard Gompper , Dmitry A. Fedosov

Using an additivity property, we study particle-number fluctuations in a system of interacting self-propelled particles, called active Brownian particles (ABPs), which consists of repulsive disks with random self-propulsion velocities. From…

统计力学 · 物理学 2016-05-16 Subhadip Chakraborti , Shradha Mishra , Punyabrata Pradhan

We present a mode-coupling theory (MCT) for the high-density dynamics of two-dimensional spherical active Brownian particles (ABP). The theory is based on the integration-through-transients (ITT) formalism and hence provides a starting…

软凝聚态物质 · 物理学 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann

Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely…

统计力学 · 物理学 2024-01-09 Marco Baldovin , David Guéry-Odelin , Emmanuel Trizac

We study the transport of active Brownian particles (ABPs) in three-dimensional (3D) oscillatory geometries, which are spatially periodic. We establish a generalized Fick-Jacobs approach, which reduces a 3D system to an effective 1D system…

软凝聚态物质 · 物理学 2025-09-16 Rahul Sinha , Ankit Gupta , P. S. Burada

Many active particles are embedded in environments that exhibit viscoelastic properties. An important class of such media lacks a single characteristic relaxation timescale when subjected to a time-dependent stress. Rather, the stress…

软凝聚态物质 · 物理学 2025-12-24 David Santiago Quevedo , Monica Conte , Marjolein Dijkstra , Cristiane Morais Smith

We study the non-equilibrium properties of non interacting active Ornstein-Uhlenbeck particles (AOUP) subject to an external nonuniform field using a Fokker-Planck approach with a focus on the linear response and time-correlation functions.…

统计力学 · 物理学 2018-03-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Angelo Vulpiani