Poisson-bracket formulation of the dynamics of fluids of deformable particles
Poisson-bracket formulation of the dynamics of fluids of deformable particles
复制标题
可变形粒子流体动力学的泊松括号公式
DOI：
10.1103/physreve.103.032612
复制
发表时间：
2021
影响因子：
2.4
通讯作者：
Marchetti, M. Cristina
中科院分区：
文献类型：
--
作者：
Hernandez, Arthur;Marchetti, M. Cristina
利用泊松括号法，我们推导出二维可变形颗粒流体的连续方程。粒子形状是量化的两个连续场：各向异性密度场，捕获单个粒子的变形从规则的形状和形状张量密度场，量化粒子伸长和伸长形状的排列。我们明确地考虑的例子，一个致密的生物组织所描述的顶点模型的能量，其中细胞形状已被提出作为一个结构的顺序参数的液体-固体过渡。这里提出的生物组织的流体动力学模型捕捉细胞形状的耦合流动，并提供了一个起点，为致密组织的流变学建模。
Using the Poisson-bracket method, we derive continuum equations for a fluid of deformable particles in two dimensions. Particle shape is quantified in terms of two continuum fields: an anisotropy density field that captures the deformations of individual particles from regular shapes and a shape tensor density field that quantifies both particle elongation and nematic alignment of elongated shapes. We explicitly consider the example of a dense biological tissue as described by the Vertex model energy, where cell shape has been proposed as a structural order parameter for a liquid-solid transition. The hydrodynamic model of biological tissue proposed here captures the coupling of cell shape to flow and provides a starting point for modeling the rheology of dense tissue.