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This work is a numerical experiment of stochastic motion of conservative Hamiltonian system or weakly damped Brownian particles. The objective is to prove the existence of path probability and to compute its values. By observing a large…

Statistical Mechanics · Physics 2012-02-09 Lin Tongling , Pujos Cyril , Ou Congjie , Bi Wenping , Calvayrac Florent , Wang Qiuping A

We analyse a continuous-time random walk model with stochastic reversals of direction. There is no external potential but the reorientation mechanism generates a non-zero current from asymmetry in the forward and backward waiting-time…

Statistical Mechanics · Physics 2026-02-27 Venkata D. Pamulaparthy , Rosemary J. Harris

A reversal of the particle current in rocking Brownian motors was predicted more than 20 years ago; however, an experimental verification and a deeper insight into the underlying mechanisms remained elusive. Here, we investigate the high…

Statistical Mechanics · Physics 2018-09-12 Christian Schwemmer , Stefan Fringes , Urs Duerig , Yu Kyoung Ryu Cho , Armin W. Knoll

We consider a rigid assembly of two active Brownian particles, forming an active colloidal dimer, in a gradient of activity. We show analytically that depending on the relative orientation of the two particles the active dimer accumulates…

Soft Condensed Matter · Physics 2022-08-17 Hidde D. Vuijk , Sophie Klempahn , Holger Merlitz , Jens-Uwe Sommer , Abhinav Sharma

We study exclusion processes on the integer lattice in which particles change their velocities due to stickiness. Specifically, whenever two or more particles occupy adjacent sites, they stick together for an extended period of time, and…

Probability · Mathematics 2016-08-11 Miklós Z. Rácz , Mykhaylo Shkolnikov

We study the flow behavior and unjamming transition in dense assemblies of actively deforming particles that periodically change size, a process that we refer to as breathing. Using extensive molecular dynamics simulations and a…

Soft Condensed Matter · Physics 2025-05-21 Sayantan Ghosh , Magali Le Goff , Pinaki Chaudhuri , Kirsten Martens

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

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

We study quasi two-dimensional, monodisperse systems of active Brownian particles (ABPs) for a range of activities, stiffnesses, and densities. We develop a microscopic, analytical method for predicting the dense phase structure formed…

Soft Condensed Matter · Physics 2021-06-24 Nicholas Lauersdorf , Thomas Kolb , Moslem Moradi , Ehssan Nazockdast , Daphne Klotsa

Negative differential mobility is the phenomenon in which the velocity of a particle decreases when the force driving it increases. We study this phenomenon in Markov jump models where a particle moves in the presence of walls that act as…

Statistical Mechanics · Physics 2020-10-07 Gianluca Teza , Stefano Iubini , Marco Baiesi , Attilio L. Stella , Carlo Vanderzande

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

Statistical Mechanics · Physics 2021-02-10 Yann-Edwin Keta , Étienne Fodor , Frédéric van Wijland , Michael E. Cates , Robert L. Jack

We study the Brownian motion of a single particle coupled to an external ac field in a two-dimensional random potential. We find that for small fields a large-scale vorticity pattern of the steady-state net currents emerges, a consequence…

Statistical Mechanics · Physics 2007-05-23 Maxim A. Makeev , Imre Derényi , Albert-László Barabási

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

We investigate motility-induced phase separation of active Brownian particles, which are modeled as purely repulsive spheres that move due to a constant swim force with freely diffusing orientation. We develop on the basis of power…

Statistical Mechanics · Physics 2019-11-13 Sophie Hermann , Philip Krinninger , Daniel de las Heras , Matthias Schmidt

The structural and dynamical properties of suspensions of self-propelled Brownian particles of spherical shape are investigated in three spatial dimensions. Our simulations reveal a phase separation into a dilute and a dense phase, above a…

Soft Condensed Matter · Physics 2015-05-12 Adam Wysocki , Roland G. Winkler , Gerhard Gompper

The mean first passage time (MFPT) is a key metric for understanding transport, search, and escape processes in stochastic systems. While well characterized for passive Brownian particles, its behavior in active systems-such as active…

Soft Condensed Matter · Physics 2025-10-22 Sarafa A. Iyaniwura , Zhiwei Peng

Using Brownian dynamics simulations, the motion of active Brownian particles (ABPs) in the presence of fuel (or 'food') sources is studied. It is an established fact that within confined stationary systems, the activity of ABPs generates…

Biological Physics · Physics 2020-07-01 Holger Merlitz , Hidde Derk Vuijk , Rene Wittmann , Abhinav Sharma , Jens-Uwe Sommer

A harmonically trapped active Brownian particle exhibits two types of positional distributions -- one has a single peak, the other has a single well -- that signify steady-state dynamics with low and high activity, respectively. Adding…

We study the effects of an intermittent harmonic potential of strength $\mu = \mu_0 \nu$ -- that switches on and off stochastically at a constant rate $\gamma$, on an overdamped Brownian particle with damping coefficient $\nu$. This can be…

Statistical Mechanics · Physics 2021-07-28 Ion Santra , Santanu Das , Sujit Kumar Nath

We investigate the phase behavior and kinetics of a monodisperse mixture of active (\textit{i.e.}, self-propelled) and passive isometric Brownian particles through Brownian dynamics simulations and theory. As in a purely active system,…

Soft Condensed Matter · Physics 2015-01-08 Joakim Stenhammar , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates