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We study trajectories of d-dimensional Brownian Motion in Poissonian potential up to the hitting time of a distant hyper-plane. Our Poissonian potential V can be associated to a field of traps whose centers location is given by a Poisson…

Probability · Mathematics 2015-05-27 Hubert Lacoin

We develop a bonded-particle model for magneto-elastic rods that unifies large deformations, contact, and long-range magnetic interactions within a single discrete-element framework. The rod is discretized into orientable particles…

Soft Condensed Matter · Physics 2026-03-31 Gabriel Alkuino , Joel T. Clemmer , Christian D. Santangelo , Teng Zhang

We develop efficient numerical methods for performing many-body Brownian dynamics simulations of a recently-observed fingering instability in an active suspension of colloidal rollers sedimented above a wall [M. Driscoll, B. Delmotte, M.…

Soft Condensed Matter · Physics 2017-04-26 Florencio Balboa Usabiaga , Blaise Delmotte , Aleksandar Donev

We introduce methods for large scale Brownian Dynamics (BD) simulation of many rigid particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian motion to the rigid multiblob method at a cost comparable to the…

Soft Condensed Matter · Physics 2018-01-17 B. Sprinkle , F. Balboa Usabiaga , N. A. Patankar , A. Donev

We introduce and study a model of active Brownian motion with multiplicative noise describing fluctuations in the self-propulsion or activity. We find that the standard picture of density accumulation in slow regions is qualitatively…

Soft Condensed Matter · Physics 2023-03-29 Benoît Mahault , Prakhar Godara , Ramin Golestanian

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

We calculate the effective long-term convective velocity and dispersive motion of an ellipsoidal Brownian particle in three dimensions when it is subjected to a constant external force. This long-term motion results as a "net" average…

Statistical Mechanics · Physics 2018-12-19 Erik Aurell , Stefano Bo , Marcelo Dias , Ralf Eichhorn , Raffaele Marino

The traction on the surface of a spherical active colloid in a thermally fluctuating Stokesian fluid contains passive, active, and Brownian contributions. Here we derive these three parts systematically, by "projecting out" the fluid using…

Soft Condensed Matter · Physics 2017-09-11 Rajesh Singh , R. Adhikari

We investigate the collective dynamics of active Brownian particles (ABPs) subjected to a steady two-dimensional four-roll-mill flow using numerical simulations. By varying the packing fraction ($\phi$), we uncover a novel flow-induced…

Soft Condensed Matter · Physics 2026-03-17 Soni D. Prajapati , Kusum Seervi , Akshay Bhatnagar , Anupam Gupta

Differently from passive Brownian particles, active particles, also known as self-propelled Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy from their environment and converting it into directed motion.…

In this paper, starting from the microscopic dynamics of isolated dislocations, we explain how to derive formally mean field models for the dynamics of dislocation densities. Essentially these models are tranport equations, coupled with the…

Mathematical Physics · Physics 2009-01-16 Ahmad El Hajj , H. Ibrahim , Régis Monneau

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

The dynamics of filaments in flow are central to understanding a wide range of biological and soft-matter systems, yet their behavior under time-dependent forcing remains poorly understood. Here, we investigate the long-time dynamics of…

Soft Condensed Matter · Physics 2026-01-05 Francesco Bonacci , Brato Chakrabarti , Olivia du Roure , Anke Lindner , David Saintillan

We examine a Hamiltonian system which represents an active Brownian particle that can move against an external force by drawing energy from an internal depot while immersed in a noisy and dissipative environment. The Hamiltonian consists of…

Adaptation and Self-Organizing Systems · Physics 2021-04-29 Timo Eichmann , Diego Fieguth , Daniel Brady , James R. Anglin

The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade , Giuseppe Saccomandi

We introduce an extension of the frog model to Euclidean space and prove properties for the spread of active particles. Fix $r>0$ and place a particle at each point $x$ of a unit intensity Poisson point process $\mathcal P \subseteq \mathbb…

Probability · Mathematics 2019-01-31 Erin Beckman , Emily Dinan , Rick Durrett , Ran Huo , Matthew Junge

We investigate the effective properties (conductivity, diffusivity and elastic moduli) of model random composite media derived from Gaussian random fields and overlapping hollow spheres. The morphologies generated in the models exhibit low…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts , Mark Knackstedt

The motion of cells in tissues is an ubiquitous phenomenon. In particular, in monolayered cell colonies in vitro, pronounced collective behavior with swirl-like motion has been observed deep within a cell colony, while at the same time, the…

Biological Physics · Physics 2024-06-03 Debarati Sarkar , Gerhard Gompper , Jens Elgeti

A remarkable feat of active matter physics is that systems as diverse as collections of self-propelled particles, nematics mixed with molecular motors, and interacting robots can all be described by symmetry-based continuum theories. These…

Soft Condensed Matter · Physics 2026-04-28 Jack Binysh , Guido Baardink , Jonas Veenstra , Corentin Coulais , Anton Souslov

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

Numerical Analysis · Mathematics 2020-02-28 Julius Reiss