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Understanding stochastic thermodynamics of active Brownian particles (ABPs) system has been an important topic in very recent years. In this article we study a general model of active Brownian particle systems by introducing a…

Statistical Mechanics · Physics 2022-05-11 Zhiyu Cao , Jie Su , Huijun Jiang , Zhonghuai Hou

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We develop a formally exact technique for obtaining steady-state distributions of non-interacting active Brownian particles in a variety of systems. Our technique draws on results from the theory of two-way diffusion equations to solve the…

Soft Condensed Matter · Physics 2017-04-06 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

The motility of living things and synthetic self-propelled objects is often described using Active Brownian particles. To capture the interaction of these particles with their often complex environment, this model can be augmented with…

Statistical Mechanics · Physics 2024-09-06 Sascha Lambert , Merle Duchene , Stefan Klumpp

We investigate the steady state properties of an active fluid modeled as an assembly of soft repulsive spheres subjected to Gaussian colored noise. Such a noise captures one of the salient aspects of active particles, namely the persistence…

Soft Condensed Matter · Physics 2016-04-20 Umberto Marini Bettolo Marconi , Matteo Paoluzzi , Claudio Maggi

Target search by active agents in rugged energy landscapes has remained a challenge because standard enhanced sampling methods do not apply to irreversible dynamics. We overcome this non-equilibrium rare-event problem by developing an…

Soft Condensed Matter · Physics 2021-01-20 Luigi Zanovello , Michele Caraglio , Thomas Franosch , Pietro Faccioli

Active matter systems - such as a collection of active colloidal particles - operate far from equilibrium with complex inter-particle interactions that govern their collective dynamics. Predicting the collective dynamics of such systems may…

Soft Condensed Matter · Physics 2024-08-06 Arvin Gopal Subramaniam , Manoj Kumar , Shashi Thutupalli , Rajesh Singh

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

Soft Condensed Matter · Physics 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

Colloidal systems observed in video microscopy are often analysed using the displacements correlation matrix of particle positions. In non-thermal systems, the inverse of this matrix can be interpreted as a pair-interaction potential…

Soft Condensed Matter · Physics 2016-02-03 Michael Schindler , A. C. Maggs

We investigate the behaviour of a chain of interacting Brownian particles with one end fixed and the other moving away at slow speed, in the limit of small noise. The interaction between particles is through a pairwise potential with finite…

Probability · Mathematics 2010-07-20 Michael Allman , Volker Betz , Martin Hairer

We present a swarm model of Brownian particles with harmonic interactions, where the individuals undergo canonical active Brownian motion, i.e. each Brownian particle can convert internal energy to mechanical energy of motion. We assume the…

Statistical Mechanics · Physics 2011-08-11 Alexander Gluck , Helmuth Huffel , Sasa Ilijic

We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling

We study steady-state properties of a bath of active Brownian particles (ABPs) in two dimensions in the presence of two fixed, permeable (hollow) disklike inclusions, whose interior and exterior regions can exhibit mismatching motility…

Soft Condensed Matter · Physics 2021-07-20 Mahmoud Sebtosheikh , Ali Naji

In a theoretical and simulation study, active Brownian particles (ABPs) in three-dimensional bulk systems are exposed to time-varying sinusoidal activity waves that are running through the system. A linear response (Green-Kubo) formalism is…

Soft Condensed Matter · Physics 2018-06-13 Holger Merlitz , Hidde Vuijk , Joseph Brader , Abhinav Sharma , Jense-Uwe Sommer

We study the stationary dynamics of an active interacting Brownian particle system. We measure the violations of the fluctuation dissipation theorem, and the corresponding effective temperature, in a locally resolved way. Quite naturally,…

Statistical Mechanics · Physics 2020-07-29 Isabella Petrelli , Leticia F. Cugliandolo , Giuseppe Gonnella , Antonio Suma

Unlike equilibrium systems, active matter is not governed by the conventional laws of thermodynamics. Through a series of analytic calculations and Langevin dynamics simulations, we explore how systems cross over from equilibrium to active…

Soft Condensed Matter · Physics 2018-03-28 Ayhan Duzgun , Jonathan V. Selinger

We examine a Hamiltonian system which represents an active Brownian particle that can move against an external force by drawing energy from an internal depot while immersed in a noisy and dissipative environment. The Hamiltonian consists of…

Adaptation and Self-Organizing Systems · Physics 2021-04-29 Timo Eichmann , Diego Fieguth , Daniel Brady , James R. Anglin

We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase…

Statistical Mechanics · Physics 2011-05-09 Debasish Chaudhuri , Abhishek Dhar