主动排除过程的精确流体力学和相分离的开始

IF 2.9 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2023-11-01 DOI:10.1098/rspa.2023.0524

James Mason, Clément Erignoux, Robert L. Jack, Maria Bruna

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引用次数: 0

摘要

我们考虑了不相容活性物质的晶格模型，并准确地推导了它的流体力学描述。水动力极限导致了给定方向的粒子密度的积分微分方程。体积排斥导致依赖于空间密度的非线性迁移。这种活性物质的模型可以支持运动诱导的相分离，尽管缺乏吸引力的相互作用。我们用线性稳定性分析和数值模拟研究了相分离的开始。

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Exact hydrodynamics and onset of phase separation for an active exclusion process

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume exclusion results in nonlinear mobility dependent on spatial density. Such models of active matter can support motility-induced phase separation, which occurs despite the absence of attractive interactions. We study the onset of phase separation with linear stability analysis and numerical simulations.

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来源期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 综合性期刊-综合性期刊

CiteScore

6.40

自引率

5.70%

发文量

227

审稿时长

3.0 months

期刊介绍： Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.