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活性布朗粒子相分离动力学的连续统理论。

Continuum theory of phase separation kinetics for active Brownian particles.

机构信息

SUPA, School of Physics and Astronomy, University of Edinburgh, JCMB Kings Buildings, Edinburgh EH9 3JZ, United Kingdom.

出版信息

Phys Rev Lett. 2013 Oct 4;111(14):145702. doi: 10.1103/PhysRevLett.111.145702. Epub 2013 Oct 2.

DOI:10.1103/PhysRevLett.111.145702
PMID:24138255
Abstract

Active Brownian particles (ABPs), when subject to purely repulsive interactions, are known to undergo activity-induced phase separation broadly resembling an equilibrium (attraction-induced) gas-liquid coexistence. Here we present an accurate continuum theory for the dynamics of phase-separating ABPs, derived by direct coarse graining, capturing leading-order density gradient terms alongside an effective bulk free energy. Such gradient terms do not obey detailed balance; yet we find coarsening dynamics closely resembling that of equilibrium phase separation. Our continuum theory is numerically compared to large-scale direct simulations of ABPs and accurately accounts for domain growth kinetics, domain topologies, and coexistence densities.

摘要

活性布朗粒子(ABP)在受到纯粹排斥相互作用时,已知会经历类似于平衡(吸引诱导)气液共存的活性诱导相分离。在这里,我们通过直接粗粒化提出了一个用于相分离 ABP 动力学的精确连续体理论,该理论捕捉到了主导阶密度梯度项以及有效的体自由能。这些梯度项不遵守详细平衡;然而,我们发现粗粒化动力学非常类似于平衡相分离。我们的连续体理论与 ABP 的大规模直接模拟进行了数值比较,并准确地解释了域生长动力学、域拓扑和共存密度。

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