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In active Brownian motion, an internal propulsion mechanism interacts with translational and rotational thermal noise and other internal fluctuations to produce directed motion. We derive the distribution of its extreme fluctuations and…

Statistical Mechanics · Physics 2016-05-04 Patrick Pietzonka , Kevin Kleinbeck , Udo Seifert

We explore the changes in static structure of a two-dimensional system of active Brownian particles (ABP) with hard-disk interactions, using event-driven Brownian dynamics simulations. In particular, the effect of the self-propulsion…

Statistical Mechanics · Physics 2017-12-27 Nadine de Macedo Biniossek , Hartmut Löwen , Thomas Voigtmann , Frank Smallenburg

We explore the effect of asymmetry in the thermodynamic response (work done) of an overdamped Brownian system driven by a time-periodic field when the particle is confined inside a bilobal irregular structure. The spatial irregularity of…

Statistical Mechanics · Physics 2024-08-20 Syed Yunus Ali

We discuss activated escape from a metastable state of a system driven by a time-periodic force. We show that the escape probabilities can be changed very strongly even by a comparatively weak force. In a broad parameter range, the…

Statistical Mechanics · Physics 2009-11-07 M. I. Dykman , B. Golding , L. I. McCann , V. N. Smelyanskiy , D. G. Luchinsky , R. Mannella , P. V. E. McClintock

Fractional Brownian motion is a Gaussian stochastic process with long-range correlations in time; it has been shown to be a useful model of anomalous diffusion. Here, we investigate the effects of mutual interactions in an ensemble of…

Statistical Mechanics · Physics 2025-09-15 Jonathan House , Rashad Bakhshizada , Skirmantas Janušonis , Ralf Metzler , Thomas Vojta

Active matter agents consume internal energy or extract energy from the environment for locomotion and force generation. Already rather generic models, such as ensembles of active Brownian particles, exhibit phenomena, which are absent at…

Soft Condensed Matter · Physics 2020-07-27 Roland G. Winkler , Gerhard Gompper

We construct a generalized dynamics for particles moving in a symmetric space-time, i.e. a space-time admitting one or more Killing vectors. The generalization implies that the effective mass of particles becomes dynamical. We apply this…

General Relativity and Quantum Cosmology · Physics 2011-03-31 Sudipta Das , Subir Ghosh , Jan-Willem van Holten , Supratik Pal

We numerically studied active Brownian particles with attractive interactions. Contrary to our intuition, the attractive force between particles disrupts the formation of a single cluster observed in motility-induced phase separation,…

Soft Condensed Matter · Physics 2025-05-27 Sota Shimamura , Nen Saito , Shuji Ishihara

Recently, it has been discovered that systems of Active Brownian particles (APB) at high density organise their velocities into coherent domains showing large spatial structures in the velocity field. Such a collective behavior occurs…

Soft Condensed Matter · Physics 2020-12-23 Lorenzo Caprini , Umberto Marini Bettolo Marconi

The clogging behavior of a symmetric binary mixture of particles that are driven in opposite directions through constrictions is explored by Brownian dynamics simulations and theory. A dynamical state with a spontaneously broken symmetry…

Soft Condensed Matter · Physics 2016-12-28 Tobias Glanz , Raphael Wittkowski , Hartmut Löwen

When two active Brownian particles collide, they slide along each other until they can continue their free motion. For persistence lengths much larger than the particle diameter, the directors do not change, but the collision can be modeled…

Soft Condensed Matter · Physics 2024-04-19 Rodrigo Soto , Martin Pinto , Ricardo Brito

We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is…

Chaotic Dynamics · Physics 2024-07-19 Arkady Pikovsky

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

In this study, we investigate the behavior of inertial active Brownian particles in a $d$-dimensional harmonic trap in the presence of translational diffusion. While the solution of the Fokker-Planck equation is generally challenging, it…

Statistical Mechanics · Physics 2024-10-08 Manish Patel , Debasish Chaudhuri

Magnetic nanoparticles are useful in many medical applications because they interact with biology on a cellular level thus allowing microenvironmental investigation. An enhanced understanding of the dynamics of magnetic particles may lead…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Daniel B Reeves , John B Weaver

Suspensions of motile active particles with space dependent activity form characteristic polarization and density patterns. Recent single-particle studies for planar activity landscapes identified several quantities associated with emergent…

Soft Condensed Matter · Physics 2021-06-09 Sven Auschra , Viktor Holubec

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

Statistical Mechanics · Physics 2009-06-05 Peter Hanggi , Fabio Marchesoni

Active work measures how far the local self-forcing of active particles translates into real motion. Using Population Monte Carlo methods, we investigate large deviations in the active work for repulsive active Brownian disks. Minimizing…

Statistical Mechanics · Physics 2019-02-12 Takahiro Nemoto , Étienne Fodor , Michael E. Cates , Robert L. Jack , Julien Tailleur

We consider a system of classical Brownian particles interacting via a smooth long-range potential in the mean-field regime, and we analyze the propagation of chaos in form of sharp, uniform-in-time estimates on many-particle correlation…

Analysis of PDEs · Mathematics 2025-02-18 Armand Bernou , Mitia Duerinckx

Mechanical interactions between biological cells may be mediated by secreted products, making them dependent on the local particle density. Here, we explore the generic physics of density-dependent attractive interactions. We show using…

Soft Condensed Matter · Physics 2017-11-29 Gavin Melaugh , Davide Marenduzzo , Alexander Morozov , Rosalind J. Allen