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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 study subdiffusive ratchet transport in periodically and randomly flashing potentials. Central Brownian particle is elastically coupled to surrounding auxiliary Brownian quasi-particles which account for the influence of viscoelastic…

Statistical Mechanics · Physics 2012-06-04 Vasyl Kharchenko , Igor Goychuk

We studied the transport process of overdamped Brownian particles, in a chain of asymmetric cavities, interacting through a hard-core potential. When a force is applied in opposite directions a difference in the drift velocity of the…

Statistical Mechanics · Physics 2015-06-17 Gonzalo Suárez , Miguel Hoyuelos , Héctor Mártin

We show that dispersion in propulsion strength qualitatively alters collective behavior of active multi-particle systems interacting via short-range attractive potential, giving rise to novel ordered phases that combine spatial and…

Statistical Mechanics · Physics 2026-01-07 Debraj Dutta , Urna Basu

We report a theoretical study of an overdamped Brownian particle dynamics in the presence of both a spatially modulated one-dimensional periodic potential and a periodic alternating force (AF). As the periodic potential has a low symmetry…

Statistical Mechanics · Physics 2013-05-29 M. V. Fistul

We investigate the motion of an inert (massive) particle being impinged from below by a particle performing (reflected) Brownian motion. The velocity of the inert particle increases in proportion to the local time of collisions and…

Probability · Mathematics 2017-02-24 Sayan Banerjee , Krzysztof Burdzy , Mauricio Duarte

Two deterministic models for Brownian motion are investigated by means of numerical simulations and kinetic theory arguments. The first model consists of a heavy hard disk immersed in a rarefied gas of smaller and lighter hard disks acting…

Chaotic Dynamics · Physics 2009-11-13 Fabio Cecconi , Massimo Cencini , Angelo Vulpiani

We investigate a granular gas in a shaken quasi-two-dimensional box in molecular dynamics computer simulations. After a sudden change (quench) of the shaking amplitude, transient density correlations are observed orders of magnitude beyond…

Soft Condensed Matter · Physics 2020-11-18 Thomas Schindler , Christian M. Rohwer

The short-time motion of Brownian particles in an incompressible Newtonian fluid under shear, in which the fluid inertia becomes important, was investigated by direct numerical simulation of particulate flows. Three-dimensional simulations…

Soft Condensed Matter · Physics 2009-11-13 Takuya Iwashita , Ryoichi Yamamoto

The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of…

Classical Analysis and ODEs · Mathematics 2013-05-09 Dmitry Vorotnikov

We experimentally investigate the clogging and jamming of interacting paramagnetic colloids driven through a quenched disordered landscape of fixed obstacles. When the particles are forced to cross a single aperture between two obstacles,…

Soft Condensed Matter · Physics 2017-12-15 Ralph L. Stoop , Pietro Tierno

We derive from first principles the mechanical pressure $P$, defined as the force per unit area on a bounding wall, in a system of spherical, overdamped, active Brownian particles at density $\rho$. Our exact result relates $P$, in closed…

Soft Condensed Matter · Physics 2015-07-10 A. P. Solon , J. Stenhammar , R. Wittkowski , M. Kardar , Y. Kafri , M. E. Cates , J. Tailleur

This study explores the effect of quenched disorder on the characteristic of self-propelled particles in one-dimension. Here,particles interact with disorder which serve as directional cues. The study investigates how the density of the…

Soft Condensed Matter · Physics 2024-05-16 Pawan Kumar Mishra , Abhra Puitandy , Shradha Mishra

Two particles can exert forces on each other when embedded in a sea of weakly-coupled particles. These "wake forces'' occur whenever the source and target particles have quadratic interactions with the mediating particles; they are…

High Energy Physics - Phenomenology · Physics 2025-01-09 Ken Van Tilburg

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We investigate the properties of a model of granular matter consisting of $N$ Brownian particles on a line subject to inelastic mutual collisions. This model displays a genuine thermodynamic limit for the mean values of the energy and the…

Statistical Mechanics · Physics 2009-10-31 A. Puglisi , V. Loreto , U. Marini Bettolo Marconi , A. Petri , A. Vulpiani

Stochastic motion of charged particles in the magnetic field was first studied almost half a century ago in the classical works by Taylor and Kursunoglu in connection with the diffusion of electrons and ions in plasma. In their works the…

Soft Condensed Matter · Physics 2011-07-12 V. Lisy , J. Tothova

An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach…

Soft Condensed Matter · Physics 2024-01-17 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

We investigate the nonequilibrium dynamics of spherical active Brownian particles in three spatial dimensions that interact via a pair potential. The investigation is based on a predictive local field theory that is derived by a rigorous…

Soft Condensed Matter · Physics 2020-08-19 Jens Bickmann , Raphael Wittkowski

Transport of Brownian particles interacting with each other via the Morse potential is investigated in the presence of an ac driving force applied locally at one end of the chain. By using numerical simulations, we find that the system can…

Statistical Mechanics · Physics 2012-08-16 Bao-quan Ai , Ya-feng He , Wei-rong Zhong