The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems, a recently popular paradigmatic system for self-propelled particles. We present four microscopic models with different types of repulsive interactions between particles and their associated macroscopic models, which are formally obtained using different coarse-graining methods. The macroscopic limits are integro-differential equations for the density in phase space (positions and orientations) of the particles and may include nonlinearities in both the diffusive and advective components. In contrast to passive particles, systems of active particles can undergo phase separation without any attractive interactions, a mechanism known as motility-...
We present a hydrodynamic theory for systems of dipolar active Brownian particles which, in the regi...
Active colloids exhibit persistent motion, which can lead to motility-induced phase separation (MIPS...
Motility-induced phase separation (MIPS), the phenomenon in which purely repulsive active particles ...
The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems, a...
We study a two-dimensional system composed by Active Brownian Particles (ABPs), focusing on the onse...
As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase s...
We consider a continuum model for motility-induced phase separation (MIPS) of active Brownian partic...
As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
Active Brownian particles (ABPs), when subject to purely repulsive interactions, are known to underg...
A pedagogical introduction to the analytical treatment of the collective behavior of active (self-pr...
We present a hydrodynamic theory for systems of dipolar active Brownian particles which, in the regi...
Active colloids exhibit persistent motion, which can lead to motility-induced phase separation (MIPS...
Motility-induced phase separation (MIPS), the phenomenon in which purely repulsive active particles ...
The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems, a...
We study a two-dimensional system composed by Active Brownian Particles (ABPs), focusing on the onse...
As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase s...
We consider a continuum model for motility-induced phase separation (MIPS) of active Brownian partic...
As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo macrophase s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
5 pages, 5 figures, SMInternational audienceAs a result of nonequilibrium forces, purely repulsive s...
Active Brownian particles (ABPs), when subject to purely repulsive interactions, are known to underg...
A pedagogical introduction to the analytical treatment of the collective behavior of active (self-pr...
We present a hydrodynamic theory for systems of dipolar active Brownian particles which, in the regi...
Active colloids exhibit persistent motion, which can lead to motility-induced phase separation (MIPS...
Motility-induced phase separation (MIPS), the phenomenon in which purely repulsive active particles ...