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We generalize the Green-Kubo approach, previously applied to bulk systems of spherically symmetric active particles [J. Chem. Phys. 145, 161101 (2016)], to include spatially inhomogeneous activity. The method is applied to predict the…

Soft Condensed Matter · Physics 2017-09-20 Abhinav Sharma , Joseph Brader

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…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

In this work, we focus on the behavior of a single passive Brownian particle in a suspension of passive particles with short-range repulsive interactions and a larger self-diffusion coefficient. While the forces affecting the…

Statistical Mechanics · Physics 2023-04-26 Deborah Schwarcz , Stanislav Burov

By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. On the basis of the generalized Langevin equation, we present an analytic framework for active…

Soft Condensed Matter · Physics 2022-04-13 Alexander R. Sprenger , Christian Bair , Hartmut Löwen

Active particle systems are a class of non-equilibrium systems composed of self-propelled Brownian particles; through interactions between particles within the system, a variety of intriguing collective behaviors can emerge. Based on…

Soft Condensed Matter · Physics 2025-09-25 Sihang Guo , Guangyu Yang , Guoqing Meng , Yingying Wang , Junxing Pan , Jinjun Zhang

Systems of independent active particles embedded into a fluctuating environment are relevant to many areas of soft-matter science. We use a minimal model of noninteracting spin-carrying Brownian particles in a Gaussian field and show that…

Soft Condensed Matter · Physics 2018-07-18 Ruben Zakine , Jean-Baptiste Fournier , Frédéric Van Wijland

The pair-distribution function, which provides information about correlations in a system of interacting particles, is one of the key objects of theoretical soft matter physics. In particular, it allows for microscopic insights into the…

Soft Condensed Matter · Physics 2023-07-28 Stephan Bröker , Michael te Vrugt , Julian Jeggle , Joakim Stenhammar , Raphael Wittkowski

As a result of the competition between self-propulsion and excluded volume interactions, purely repulsive self-propelled spherical particles undergo a motility-induced phase separation (MIPS). We carry out a systematic computational study,…

Soft Condensed Matter · Physics 2017-03-08 Demian Levis , Joan Codina , Ignacio Pagonabarraga

One of the most remarkable observations in dense active matter systems is the appearance of long-range velocity correlations without any explicit aligning interaction (of e.g.\ Vicsek type). Here we show that this kind of long range…

Soft Condensed Matter · Physics 2023-02-28 Leila Abbaspour , Rituparno Mandal , Peter Sollich , Stefan Klumpp

Starting from the microscopic Smoluchowski equation for interacting Brownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are…

Soft Condensed Matter · Physics 2009-11-11 Matthias Fuchs , Michael E. Cates

Accelerated Stokesian Dynamics (ASD) simulation and a microstructural theory are applied to study structure and the viscosity of hard-sphere Brownian suspensions in active microrheology (MR).We consider moderate to dense suspensions, from…

Soft Condensed Matter · Physics 2016-08-24 Ehssan Nazockdast , Jeffrey F. Morris

We study the simplest terms that need to be included in active field theories to couple them to external potentials. To do so, we consider active Brownian particles and implement a systematic perturbative expansion in the particle…

Statistical Mechanics · Physics 2026-04-21 Yariv Kafri , Julien Tailleur

We study the diffusion of a tracer particle, which moves in continuum space between a lattice of excluded volume, immobile non-inert obstacles. In particular, we analyse how the strength of the tracer-obstacle interactions and the volume…

Soft Condensed Matter · Physics 2014-12-24 Surya K. Ghosh , Andrey G. Cherstvy , Ralf Metzler

A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical…

Soft Condensed Matter · Physics 2009-01-01 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Sudip Chattopadhyay , Pinaki Chaudhury

A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work we study a 2D version of this model, where the molecule is a heavy disk of mass M and the gas is…

Dynamical Systems · Mathematics 2008-12-02 N. Chernov , D. Dolgopyat

Brownian motion is widely used as a paradigmatic model of diffusion in equilibrium media throughout the physical, chemical, and biological sciences. However, many real world systems, particularly biological ones, are intrinsically…

Statistical Mechanics · Physics 2020-06-04 Kiyoshi Kanazawa , Tomohiko G. Sano , Andrea Cairoli , Adrian Baule

This study uses a combination of stochastic optimization, statistical mechanical theory, and molecular simulation to test the extent to which the long-time dynamics of a single tracer particle can be enhanced by rationally modifying its…

Soft Condensed Matter · Physics 2011-11-24 James Carmer , Gaurav Goel , Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

We use a first-passage time approach to study the statistics of the trapping times induced by persistent motion of active particles colliding with flat boundaries. The angular first-passage time distribution and mean first-passage time is…

Statistical Mechanics · Physics 2022-08-02 Emily Qing Zang Moen , Kristian Stølevik Olsen , Jonas Rønning , Luiza Angheluta

The concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

Soft Condensed Matter · Physics 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

Quantitatively understanding of the dynamics of an active Brownian particle (ABP) interacting with a viscoelastic polymer environment is a scientific challenge. It is intimately related to several interdisciplinary topics such as the…

Statistical Mechanics · Physics 2020-08-17 Sungmin Joo , Xavier Durang , O-chul Lee , Jae-Hyung Jeon