Phase Separation in Systems of Interacting Active Brownian Particles

نویسندگان

چکیده

The aim of this paper is to discuss the mathematical modeling Brownian active particle systems, a recently popular paradigmatic system for self-propelled particles. We present four microscopic models with different types repulsive interactions between particles and their associated macroscopic models, which are formally obtained using coarse-graining methods. limits integro-differential equations density in phase space (positions orientations) may include nonlinearities both diffusive advective components. In contrast passive particles, systems can undergo separation without any attractive interactions, mechanism known as motility-induced (MIPS). explore onset such transition each model parameter occupied volume fraction Péclet number via linear stability analysis numerical simulations at levels. establish that one namely, mean-field assumes long-range cannot explain emergence MIPS. contrast, MIPS observed remaining three assume short-range localize interaction terms space.

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ژورنال

عنوان ژورنال: Siam Journal on Applied Mathematics

سال: 2022

ISSN: ['0036-1399', '1095-712X']

DOI: https://doi.org/10.1137/21m1452524