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The question of characterization of the degree of non-equilibrium activity in active matter systems is studied in the context of a stochastic microswimmer model driven by a chemical cycle. The resulting dynamical properties and entropy…

Statistical Mechanics · Physics 2024-05-27 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

Activity significantly enhances the escape rate of a Brownian particle over a potential barrier. Whereas constant activity has been extensively studied in the past, little is known about the effect of time-dependent activity on the escape…

Soft Condensed Matter · Physics 2019-07-10 A. Scacchi , J. M. Brader , A. Sharma

We briefly review the problem of Brownian motion and describe some intriguing facets. The problem is first treated in its original form as enunciated by Einstein, Langevin, and others. Then, utilizing the problem of Brownian motion as a…

Statistical Mechanics · Physics 2026-02-17 Sushanta Dattagupta , Aritra Ghosh

Recently, an active microswimmer was constructed where a micron-sized droplet of bromine water was placed into a surfactant-laden oil phase. Due to a bromination reaction of the surfactant at the interface, the surface tension locally…

Soft Condensed Matter · Physics 2016-01-12 Maximilian Schmitt , Holger Stark

We study stochastic thermodynamics of over-damped Brownian motion in a flowing fluid. Unlike some previous works, we treat the effects of the flow field as a non-conservational driving force acting on the Brownian particle. This allows us…

Statistical Mechanics · Physics 2024-04-23 Jun Wu , Mingnan Ding , Xiangjun Xing

We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Achim Guckenberger , Stephan Gekle

We use computer simulations to test a simple idea for mapping between long-time self diffusivities obtained from molecular and Brownian dynamics. The strategy we explore is motivated by the behavior of fluids comprising particles that…

Soft Condensed Matter · Physics 2011-10-25 Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

We derive equations of motion for the mean-squared displacement (MSD) of an active Brownian particle (ABP) in a crowded environment modeled by a dense system of passive Brownian particles, and of a passive tracer particle in a dense…

Soft Condensed Matter · Physics 2021-07-27 Julian Reichert , Thomas Voigtmann

Developing behavioral policies designed to efficiently solve target-search problems is a crucial issue both in nature and in the nanotechnology of the 21st century. Here, we characterize the target-search strategies of simple microswimmers…

Soft Condensed Matter · Physics 2023-07-25 Harpreet Kaur , Thomas Franosch , Michele Caraglio

Brownian motion occurs in a variety of fluids, from rare gases to liquids. The Langevin equation, describing friction and agitation forces in statistical balance, is one of the most successful ways to treat the phenomenon. In rare gases, it…

Statistical Mechanics · Physics 2020-06-15 Frank Munley

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

Standard algorithms for the numerical integration of the Langevin equation require that interactions are slowly varying during to the integration timestep. This in not the case for hard-body systems, where there is no clearcut between the…

Soft Condensed Matter · Physics 2013-02-07 Antonio Scala

We study the dynamics of a single trapped probe surrounded by self-propelled active particles in two dimensions. In the limit of large size separation, we perform an adiabatic elimination of the small active particles to obtain an effective…

Soft Condensed Matter · Physics 2023-07-21 Ashreya Jayaram , Thomas Speck

Many swimmers, especially small to medium-sized animals, use intermittent locomotion that differs from continuous swimming of large species. This type of locomotion, called burst-and-coast, is often associated with an energetic advantage.…

Fluid Dynamics · Physics 2025-05-08 Tristan Aurégan , Mathilde Lemoine , Benjamin Thiria , Sylvain Courrech du Pont

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…

Statistical Mechanics · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

We address the gas, liquid, and crystal phase behaviour of active Brownian particles in three dimensions. The nonequilibrium force balance at coexistence leads to equality of state functions for which we use power functional approximations.…

Soft Condensed Matter · Physics 2024-02-28 Sophie Hermann , Matthias Schmidt

A polar tracer immersed in an active bath is known to be propelled forward and therefore activated. Here we report that the induced dynamics of an inertial tracer can be much richer than expected. We investigate a heavy polar tracer…

Statistical Mechanics · Physics 2026-05-14 Jing-Bo Zeng , Ji-Hui Pei

After summarizing basic features of self-organization such as entropy export, feedbacks and nonlinear dynamics, we discuss several examples in biology. The main part of the paper is devoted to a model of active Brownian motion that allows a…

Statistical Mechanics · Physics 2007-05-23 Werner Ebeling , Frank Schweitzer

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

The statistical and dynamical properties of ions in the selectivity filter of the KcsA ion channel are considered on the basis of molecular dynamics (MD) simulations of the KcsA protein embedded in a lipid membrane surrounded by an ionic…

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