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With a detail microscopic model for a self-propelled swimmer, we derive the rheological properties of a dilute suspension of such particles at small Peclet numbers. It is shown that, in addition to the Einstein's like contribution to the…

Soft Condensed Matter · Physics 2017-02-02 Moslem Moradi , Ali Najafi

We study the dynamics of non-aligning, non-interacting self-propelled particles confined to a box in two dimensions. In the strong confinement limit, when the persistence length of the active particles is much larger than the size of the…

Soft Condensed Matter · Physics 2016-01-15 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

Chemically active, or autophoretic, particles that isotropically emit or absorb solute molecules undergo spontaneous self-propulsion when their activity is increased beyond a critical P\'{e}clet number ($Pe$). Here, we conduct numerical…

Fluid Dynamics · Physics 2022-09-20 R. Kailasham , Aditya S. Khair

We investigate the dynamics of a tagged particle embedded in a strongly interacting confined liquid enclosed between two opposing flat walls. Using the Zwanzig-Mori projection operator formalism we obtain an equation of motion for the…

Soft Condensed Matter · Physics 2014-06-20 Simon Lang , Thomas Franosch

We describe the random motion of a particle immersed in a thermally fluctuating medium and harmonically trapped at a certain distance from a wall. The medium, modeled by a Gaussian field with a tunable correlation length $\xi$, is linearly…

Statistical Mechanics · Physics 2025-11-27 Marcin Piotr Pruszczyk , Andrea Gambassi

We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate $x$, which is simultaneously exposed to a space-dependent friction coefficient $\gamma(x)$, a confining potential $U(x)$ and…

Soft Condensed Matter · Physics 2021-05-12 Davide Breoni , Hartmut Löwen , Ralf Blossey

We study general aspects of active motion with fluctuations in the speed and the direction of motion in two dimensions. We consider the case in which fluctuations in the speed are not correlated to fluctuations in the direction of motion,…

Biological Physics · Physics 2009-11-13 Fernando Peruani , Luis G. Morelli

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

Soft Condensed Matter · Physics 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

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

One standard approach to describe the collective behaviour of self-propelled particles is the Vicsek model: point-like self-propelled particles tend to align their migration directions to the ones of their nearer neighbours at each…

Soft Condensed Matter · Physics 2013-11-27 Andreas M. Menzel

The transport of active particles may occur in complex environments, in which it emerges from the interplay between the mobility of the active components and the quenched disorder of the environment. Here we explore structural and dynamical…

Soft Condensed Matter · Physics 2023-03-31 Fergus J. Moore , John Russo Tanniemola B. Liverpool , C. Patrick Royall

Confined suspensions of active particles show peculiar dynamics characterized by wall accumulation, as well as upstream swimming, centerline depletion and shear-trapping when a pressure-driven flow is imposed. We use theory and numerical…

Fluid Dynamics · Physics 2023-07-19 Barath Ezhilan , David Saintillan

Designing a protocol to efficiently drive a stochastic system is an active field of research. Here we extend such control theory to an active Ornstein-Uhlenbeck particle (AOUP) in a bistable potential, driven by a harmonic trap. We find…

Statistical Mechanics · Physics 2023-08-15 Deepak Gupta , Sabine H. L. Klapp , David A. Sivak

A number of novel experimental and theoretical results have recently been obtained on active soft matter, demonstrating the various interesting universal and anomalous features of this kind of driven systems. Here we consider a fundamental…

Soft Condensed Matter · Physics 2015-06-12 Enys Mones , András Czirók , Tamás Vicsek

We propose a new overarching model for self-propelled particles that flexibly generates a full family of "descendants". The general dynamics introduced in this paper, which we denote as "parental" active model (PAM), unifies two special…

Soft Condensed Matter · Physics 2022-03-15 Lorenzo Caprini , Alexander Ralf Sprenger , Hartmut Löwen , René Wittmann

The physics of activated escape of objects out of a metastable state plays a key role in diverse scientific areas involving chemical kinetics, diffusion and dislocation motion in solids, nucleation, electrical transport, motion of flux…

Adaptation and Self-Organizing Systems · Physics 2016-08-08 D. Hennig , C. Mulhern , L. Schimansky-Geier , G. P. Tsironis , P. Hänggi

We investigate the excitation of a quantum particle shuttled in a harmonic trap with weak springconstant colored noise. The Ornstein-Uhlenbeck model for the noise correlation function describes a wide range of possible noises, in particular…

Quantum Physics · Physics 2018-05-23 Xiao-Jing Lu , A. Ruschhaupt , J. G. Muga

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

The first passage search of a diffusing target (prey) by multiple searchers (predators) in confinement is an important problem in the stochastic process literature. While the analogous problem in open space has been studied in some details,…

Statistical Mechanics · Physics 2021-01-04 Indrani Nayak , Amitabha Nandi , Dibyendu Das

Active particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times…

Statistical Mechanics · Physics 2022-09-14 Ion Santra , Urna Basu , Sanjib Sabhapandit
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