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Particle-particle interactions are of paramount importance in every multi-body system as they determine the collective behaviour and coupling strength. Many well-known interactions like electro-static, van der Waals or screened Coulomb,…

Biological Physics · Physics 2015-07-17 Karolis Misiunas , Stefano Pagliara , Eric Lauga , John R. Lister , Ulrich F. Keyser

We analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear…

Quantum Gases · Physics 2015-04-17 Pietro Massignan , Aniello Lampo , Jan Wehr , Maciej Lewenstein

We present a predictive local field theory for the nonequilibrium dynamics of interacting active Brownian particles with a spherical shape in two spatial dimensions. The theory is derived by a rigorous coarse-graining starting from the…

Soft Condensed Matter · Physics 2020-05-26 Jens Bickmann , Raphael Wittkowski

Brownian Dynamics algorithms are widely used for simulating soft-matter and biochemical systems. In recent times, their application has been extended to the simulation of coarse-grained models of cellular networks in simple organisms. In…

Quantitative Methods · Quantitative Biology 2009-11-13 Marco J. Morelli , Pieter Rein ten Wolde

Systems comprised of self-steering active Brownian particles are studied via simulations for a minimal cognitive flocking model. The dynamics of the active Brownian particles is extended by an orientational response with limited…

Soft Condensed Matter · Physics 2024-06-04 Rajendra Singh Negi , Roland G. Winkler , Gerhard Gompper

Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The…

Quantum Physics · Physics 2013-05-29 Jishad Kumar , S. Sinha , P. A. Sreeram

We address the question of how interacting active systems in a non-equilibrium steady-state respond to an external perturbation. We establish an extended fluctuation-dissipation theorem for Active Brownian Particles (ABP) which highlights…

Statistical Mechanics · Physics 2026-01-14 Sara Dal Cengio , Demian Levis , Ignacio Pagonabarraga

Simulation studies of the phase diagram of repulsive active Brownian particles in three dimensions reveal that the region of motility-induced phase separation between a high and low density phase is enclosed by a region of gas-crystal phase…

Statistical Mechanics · Physics 2021-01-27 Francesco Turci , Nigel B. Wilding

We model a binary mixture of passive and active Brownian particles in two dimensions using the effective interaction between passive particles in the active bath. The activity of active particles and the size ratio of two types of particles…

Soft Condensed Matter · Physics 2022-06-15 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra , Jaydeb Chakrabarti

Biomolecular condensates play a central role in the spatial organization of living matter. Their formation is now well understood as a form of liquid-liquid phase separation that occurs very far from equilibrium. For instance, they can be…

Soft Condensed Matter · Physics 2024-10-14 Roxanne Berthin , Jacques Fries , Marie Jardat , Vincent Dahirel , Pierre Illien

Active matter exhibits many intriguing non-equilibrium character, \emph{e.g.}, the active Brownian particles (ABP) without any attractive and aligned interactions can occur the mobility-induced phase transition to form some dense domains…

Soft Condensed Matter · Physics 2023-05-24 Cheng Yang , Ying Zeng , Shun Xu , Xin Zhou

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…

Soft Condensed Matter · Physics 2025-12-24 David Santiago Quevedo , Monica Conte , Marjolein Dijkstra , Cristiane Morais Smith

Interaction is so ubiquitous that imaging a world free from it is a difficult fantasy exercise. At the same time, in understanding any complex physical system, our ability of accounting for the mutual interaction of its constituents is…

Quantum Physics · Physics 2015-01-19 Roberto D'Agosta

Biological assemblies such as chromosomes, membranes, and the cytoskeleton are driven out of equilibrium at the nanoscale by enzymatic activity and molecular motors. Similar non-equilibrium dynamics can be realized in synthetic systems,…

Biological Physics · Physics 2020-06-04 Federica Mura , Grzegorz Gradziuk , Chase P. Broedersz

A dilute suspension of active Brownian particles in a dense compressible viscoelastic fluid, forms a natural setting to study the emergence of nonreciprocity during a dynamical phase transition. At these densities, the transport of active…

Soft Condensed Matter · Physics 2021-10-14 Jyoti Prasad Banerjee , Rituparno Mandal , Deb Sankar Banerjee , Shashi Thutupalli , Madan Rao

We study the long-range asymptotic behavior for an out-of-equilibrium countable one-dimensional system of Brownian particles interacting through their rank-dependent drifts. Focusing on the semi-infinite case, where only the leftmost…

Probability · Mathematics 2017-08-10 Manuel Cabezas , Amir Dembo , Andrey Sarantsev , Vladas Sidoravicius

We propose to use a correlated noise bath to drive an optically trapped Brownian particle that mimics active biological matter. Thanks to the flexibility and precision of our setup, we are able to control the different parameters that drive…

Soft Condensed Matter · Physics 2022-12-02 Rémi Goerlich , Luís Barbosa Pires , Giovanni Manfredi , Paul-Antoine Hervieux , Cyriaque Genet

Brownian motion is the erratic motion of an object due to collisions with the fluid in which it is immersed. In this work, we detail a tabletop laboratory demonstration of underdamped Brownian motion wherein a macroscopic particle resting…

Physics Education · Physics 2025-12-19 Jack-William Barotta , Caroline M. Barotta , Eli Silver , Daniel M. Harris

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

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
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