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We consider the problem of strong existence and uniqueness of a Brownian motion forced to stay in the quadrant by an electrostatic repulsion from the sides that works obliquely. The results are reminiscent of the study of a Brownian motion…

Probability · Mathematics 2013-02-14 Dominique Lépingle

Perception-reaction delays have experimentally been found to cause a spontaneous circling of microswimmers around a targeted center. Here we investigate the many-body version of this experiment with Brownian-dynamics simulations of active…

Soft Condensed Matter · Physics 2023-06-28 Pin-Chuan Chen , Klaus Kroy , Frank Cichos , Xiangzun Wang , Viktor Holubec

A simple model of an active colloid consisting of dumbbell-shaped particles that cyclically change their length without propelling themselves is proposed and analyzed. At nanoscales, it represents an idealization for bacterial cytoplasm or…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuki Koyano , Hiroyuki Kitahata , Alexander S. Mikhailov

Recent theoretical studies have predicted a new clustering mechanism for soft matter particles that interact via a certain kind of purely repulsive, bounded potentials. At sufficiently high densities, clusters of overlapping particles are…

Soft Condensed Matter · Physics 2009-11-13 Bianca M. Mladek , Gerhard Kahl , Christos N. Likos

Using computer simulations and a thermodynamically self consistent integral equation we investigate the phase behaviour and thermodynamic anomalies of a fluid composed of spherical particles interacting via a two-scale ramp potential (a…

Soft Condensed Matter · Physics 2008-02-27 E. Lomba , N. G. Almarza , C. Martin , C. McBride

It has been shown that self-assembled chains of active colloidal particles can present sustained oscillations. These oscillations are possible because of the effective diffusiophoretic forces that mediate the interactions of colloids do not…

Soft Condensed Matter · Physics 2018-03-23 S. Gonzalez , R. Soto

We model a binary mixture of passive and active Brownian particles in two dimensions using the effective interaction between passive particles in the active bath. The activity of active particles and the size ratio of two types of particles…

Soft Condensed Matter · Physics 2022-06-15 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra , Jaydeb Chakrabarti

Minimal models of active Brownian colloids consisting of self-propelled spherical particles with purely repulsive interactions have recently been identified as excellent quantitative testing grounds for theories of active matter and have…

Soft Condensed Matter · Physics 2016-04-12 M. Cristina Marchetti , Yaouen Fily , Silke Henkes , Adam Patch , David Yllanes

We demonstrate that active rotations in chemically signalling particles, such as autochemotactic {\it E. coli} close to walls, create a route for pattern formation based on a nonlinear yet deterministic instability mechanism. For slow…

Soft Condensed Matter · Physics 2016-08-19 Benno Liebchen , Michael E. Cates , Davide Marenduzzo

In this work, we study a system of passive Brownian (non-self-propelled) particles in two dimensions, interacting only through a social-like force (velocity alignment in this case) that resembles Kuramoto's coupling among phase oscillators.…

Statistical Mechanics · Physics 2015-04-13 Francisco J. Sevilla , Victor Dossetti , Alexandro Heiblum-Robles

We study a simple model for a particle that is active due to self-phoresis and that has been proposed to model symmetric camphor grains. The particle generates a concentration field through the continuous emission of a chemical substance,…

Statistical Mechanics · Physics 2026-02-18 Leah Anderson , David S. Dean

We study the transport properties of a system of active particles moving at constant speed in an heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles…

Biological Physics · Physics 2013-10-23 Oleksandr Chepizhko , Fernando Peruani

We use a simple model of particle shape to investigate how particle asymmetry affects particle-surface interaction, orientation, and stochastic dynamics over a planar surface. With this geometric model, we construct potential energy curves…

Soft Condensed Matter · Physics 2017-10-10 Guilherme H. Oliveira , A. Honorato , Rene A. Nome

We revisit the problem of computing the boundary density profile of a droplet of two-dimensional one-component plasma (2D OCP) with logarithmic interaction between particles in a confining harmonic potential. At a sufficiently low…

Statistical Mechanics · Physics 2020-12-30 Gabriel Cardoso , Jean-Marie Stéphan , Alexander G. Abanov

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 concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

Soft Condensed Matter · Physics 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

Driven or active suspensions can display fascinating collective behavior, where coherent motions or structures arise on a scale much larger than that of the constituent particles. Here, we report experiments and numerical simulations…

We present a sufficient criterion for the emergence of cluster phases in an ensemble of interacting classical particles with repulsive two-body interactions. Through a zero-temperature analysis in the low density region we determine the…

Soft Condensed Matter · Physics 2025-02-25 Alejandro Mendoza-Coto , Rómulo Cenci , Guido Pupillo , Rogelio Díaz-Méndez , Egor Babaev

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

We simulate clustering, phase separation and hexatic ordering in a monolayered suspension of active squirming disks subject to an attractive Lennard-Jones-like pairwise interaction potential, taking hydrodynamic interactions between the…

Soft Condensed Matter · Physics 2016-03-31 Ricard Matas Navarro , Suzanne Fielding
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