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The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

Soft Condensed Matter · Physics 2025-03-11 Rodrigo Soto

The internal dynamics of active gels, both in artificial (in-vitro) model systems and inside the cytoskeleton of living cells, has been extensively studied by experiments of recent years. These dynamics are probed using tracer particles…

Soft Condensed Matter · Physics 2015-07-28 E. Ben Isaac , É. Fodor , P. Visco , F. van Wijland , N. S. Gov

We consider the moving particle process in Rd which is defined in the following way. There are two independent sequences (Tk) and (dk) of random variables. The variables Tk are non negative and form an increasing sequence, while variables…

Probability · Mathematics 2016-09-27 Youri Davydov , Valentin Konakov

We investigate the dynamics of a massive tracer particle coupled to an interacting active bath, modeled as a harmonic chain of overdamped active particles analytically, with an aim to understand the impact of bath interactions and activity…

Statistical Mechanics · Physics 2025-09-03 Ritwick Sarkar , Ion Santra

Using simulations, we examine the average velocity as a function of applied drift force for active matter particles moving through a random obstacle array. We find that for low drift force, there is an initial flow regime where the mobility…

Soft Condensed Matter · Physics 2019-09-13 C. Reichhardt , C. J. O. Reichhardt

We study the dynamics of the separation (gap) between a pair of interacting run and tumble particles (RTPs) moving in one dimension in the presence of additional thermal noise. On a ring geometry the distribution of the gap approaches a…

Statistical Mechanics · Physics 2020-08-26 Arghya Das , Abhishek Dhar , Anupam Kundu

A drop bouncing on a vertically-vibrated surface may self-propel forward by standing waves and travels along a fluid interface. This system called walking drop forms a non-quantum wave-particle association at the macroscopic scale. The…

Soft Condensed Matter · Physics 2023-05-25 Adrien Hélias , Matthieu Labousse

We consider the trapping reaction, $A+B\to B$, where $A$ and $B$ particles have a diffusive dynamics characterized by diffusion constants $D_A$ and $D_B$. The interaction with $B$ particles can be formally incorporated in an effective…

Statistical Mechanics · Physics 2009-11-10 L. Anton , R. A. Blythe , A. J. Bray

We study the diffusion of a tracer particle, which moves in continuum space between a lattice of excluded volume, immobile non-inert obstacles. In particular, we analyse how the strength of the tracer-obstacle interactions and the volume…

Soft Condensed Matter · Physics 2014-12-24 Surya K. Ghosh , Andrey G. Cherstvy , Ralf Metzler

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

The dynamical spin fluctuations in a two-dimensional square lattice in its paramagnetic phase are examined within the framework of Random Phase Approximation(RPA). Itinerant carriers with spin interact with each other via an…

Condensed Matter · Physics 2009-10-28 Junichiro Kishine

We present results for the fluctuations of the displacement of a tracer particle on a planar lattice pulled by a step force in the presence of impenetrable, immobile obstacles. The fluctuations perpendicular to the applied force are…

Statistical Mechanics · Physics 2018-02-06 Sebastian Leitmann , Thomas Schwab , Thomas Franosch

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite…

Statistical Mechanics · Physics 2017-04-26 T. Imamura , K. Mallick , T. Sasamoto

We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environment. Imitating typical settings of active micro-rheology…

Statistical Mechanics · Physics 2016-03-17 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

Soft Condensed Matter · Physics 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

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

We have studied experimentally transport properties in a slowly driven granular system which recently was shown to display self-organized criticality [Frette {\em et al., Nature} {\bf 379}, 49 (1996)]. Tracer particles were added to a pile…

Condensed Matter · Physics 2016-08-15 Kim Christensen , Álvaro Corral , Vidar Frette , Jens Feder , Torstein Jøssang

Transport of tracer particles through mesh-like environments such as biological hydrogels and polymer matrices is ubiquitous in nature. These tracers could be passive, such as colloids or active (self-propelled), such as synthetic…

Soft Condensed Matter · Physics 2022-12-08 Praveen Kumar , Rajarshi Chakrabarti

We consider an infinite locally finite system (configuration) $\gamma$ of particles distributed over a Euclidean space $X$. Each particle located at $x\in X$ carries an internal parameter (mark, or ``spin'') $\sigma_{x}\in S=\mathbb{R}.$…

Probability · Mathematics 2025-10-01 Alexei Daletskii , Dmitri Finkelshtein

We investigate aggregation and fragmentation dynamics of tracers and inertial aggregates in random flows leading to steady state size distributions. Our objective is to elucidate the impact of changes in aggregation rates, due to…

Fluid Dynamics · Physics 2017-06-19 Ksenia Guseva , Ulrike Feudel