活性排斥过程的精确流体力学与相分离起始
数学物理
2023-10-31 v2 统计力学
math.MP
摘要
我们考虑一个具有排斥作用的活性物质晶格模型，并精确推导其流体力学描述。流体力学极限导出关于给定取向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率。此类活性物质模型可支持运动诱导相分离，其发生尽管不存在吸引相互作用。我们通过线性稳定性分析与数值模拟研究了相分离的起始。
引用
@article{arxiv.2307.11673,
title = {Exact hydrodynamics and onset of phase separation for an active exclusion process},
author = {James Mason and Clement Erignoux and Robert Jack and Maria Bruna},
journal= {arXiv preprint arXiv:2307.11673},
year = {2023}
}
备注
Since submitting, we discovered an error in the code used to produce the PDE solutions. This does not change the article's central message, and we apologise for the oversight. Figures and descriptions have been corrected in the revised article. Only Figure 1 has significantly changed and the alignment between the linear stability analysis and PDE solutions has improved. 32 Pages, 8 figures