English
Related papers

Related papers: Direction reversing active Brownian particle in a …

200 papers

We study an active Brownian run-and-tumble particle (ABRTP) model, that consists of an active Brownian run state during which the active velocity of the particle diffuses on the unit circle, and a tumble state during which the active…

Statistical Mechanics · Physics 2025-10-03 Aoran Sun , Da Wei , Yiyu Zhang , Fangfu Ye , Rudolf Podgornik

We investigate the competing effects of simultaneous presence of chirality and generalised tumbles in the dynamics of an active Brownian particle. Chiral active particles perform circular motions that give rise to slow transport at late…

Statistical Mechanics · Physics 2024-10-17 Kristian Stølevik Olsen , Hartmut Löwen

We consider the solid or hexatic non-equilibrium phases of an interacting two-dimensional system of Active Brownian Particles at high density and investigate numerically and theoretically the properties of the velocity distribution function…

Statistical Mechanics · Physics 2020-09-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi

We study the diffusive motion of a particle in a subharmonic potential of the form $U(x)=|x|^c$ ($0<c<2$) driven by long-range correlated, stationary fractional Gaussian noise $\xi_{\alpha}(t)$ with $0<\alpha\le2$. In the absence of the…

Statistical Mechanics · Physics 2022-07-13 Tobias Guggenberger , Aleksei V. Chechkin , Ralf Metzler

We investigate the run and tumble particle (RTP), also known as persistent Brownian motion, in one dimension. A telegraphic noise $\sigma(t)$ drives the particle which changes between $\pm 1$ values with some rates. Denoting the rate of…

Statistical Mechanics · Physics 2020-10-07 Prashant Singh , Sanjib Sabhapandit , Anupam Kundu

We study the relaxation of a Brownian particle with long range memory under confinement in one dimension. The particle diffuses in an arbitrary confining potential and resets at random times to previously visited positions, chosen with a…

Statistical Mechanics · Physics 2025-07-15 Denis Boyer , Satya N. Majumdar

Recently, there has been much interest in activity-induced phase separations in concentrated suspensions of "active Brownian particles" (ABPs), self-propelled spherical particles whose direction of motion relaxes through thermal rotational…

Soft Condensed Matter · Physics 2014-02-13 Joakim Stenhammar , Davide Marenduzzo , Rosalind J. Allen , Michael E. Cates

We calculate the steady state distribution $P_{\text{SSD}}(\boldsymbol{X})$ of the position of a Brownian particle under an intermittent confining potential that switches on and off with a constant rate $\gamma$. We assume the external…

Statistical Mechanics · Physics 2025-04-08 Soheli Mukherjee , Naftali R. Smith

We investigate the mean first passage time of an active Brownian particle in one dimension using numerical simulations. The activity in one dimension is modeled as a two state model; the particle moves with a constant propulsion strength…

Soft Condensed Matter · Physics 2018-02-14 Alberto Scacchi , Abhinav Sharma

In this paper we provide high precision estimates of the phase diagram of active Brownian particles. We extract coexisting densities from simulations of phase separated states in an elongated box (slab geometry) which minimizes finite-size…

Soft Condensed Matter · Physics 2017-08-16 Jonathan Tammo Siebert , Janina Letz , Thomas Speck , Peter Virnau

Adding a small amount of passive (Brownian) particles to a two-dimensional dense suspension of repulsive active Brownian particles does not affect the appearance of a motility-induced phase separation into a dense and a dilute phase, caused…

Soft Condensed Matter · Physics 2025-08-11 Rodrigo Fernández-Quevedo García , Enrique Chacón , Pedro Tarazona , Chantal Valeriani

We study the one-dimensional motion of a Brownian particle inside a confinement described by two reactive boundaries which can partially reflect or absorb the particle. Understanding the effects of such boundaries is important in physics,…

Statistical Mechanics · Physics 2021-03-30 Arnab Pal , Isaac Pérez Castillo , Anupam Kundu

A Brownian particle's random motions can be rectified by a periodic potential energy landscape that alternates between two states, even if both states are spatially symmetric. If the two states differ only by a discrete translation, the…

Soft Condensed Matter · Physics 2009-11-11 Sang-Hyuk Lee , David G. Grier

We study the problem of a Brownian particle diffusing in finite dimensions in a potential given by $\psi= \phi^2/2$ where $\phi$ is Gaussian random field. Exact results for the diffusion constant in the high temperature phase are given in…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Touya , D. S. Dean

In this work we develop and apply a path integral formulation for the microscopic degrees of freedom obeying stochastic differential equations to an active Brownian particle (ABP) trapped in a harmonic potential. The formalism allows to…

Soft Condensed Matter · Physics 2025-10-01 Carsten Littek , Mike Brandt , Falko Ziebert

We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and…

Statistical Mechanics · Physics 2007-05-23 Peter F. Arndt , Vladimir Rittenberg

We investigate the motion of a run-and-tumble particle (RTP) in one dimension. We find the exact probability distribution of the particle with and without diffusion on the infinite line, as well as in a finite interval. In the infinite…

We investigate the behavior of active Brownian particles (ABP) within a temporal complex network framework approach. We focused on the node degree distribution, average path length, and average clustering coefficient across the P\'eclet…

Biological Physics · Physics 2024-05-29 Italo Salas , Francisca Guzmán-Lastra , Denisse Pastén , Ariel Norambuena

We study the non-equilibrium steady states and first passage properties of a Brownian particle with position $X$ subject to an external confining potential of the form $V(X)=\mu|X|$, and that is switched on and off stochastically. Applying…

Statistical Mechanics · Physics 2020-11-11 Gabriel Mercado-Vásquez , Denis Boyer , Satya N. Majumdar , Grégory Schehr

In this paper, we report a Brownian dynamics simulation of the mobility-induced phase separation which occurs in a two-dimensional binary mixture of active soft Brownian particles, whose interactions are modeled by non-additive…

Soft Condensed Matter · Physics 2026-01-23 D. Jiménez-Flores , A. Rodríguez-Rivas , J. M. Romero-Enrique