非互易手性自动机
Nonreciprocal Chiral Automata
浏览论文内容
中文总结 AI 辅助
本文构建基于Frisch-Hasslacher-Pomeau II模型的格子气自动机，通过手性碰撞产生非零奇压，实现非互易流体动力学响应，并推导奇压与霍尔粘度等的关系。
中文摘要 AI 辅助
奇压是一种宇称奇输运系数，在可压缩二维流体中，它给出对涡度的各向同性压力响应。通过非对称地耦合涡旋模式和压缩模式，它为一种让人联想到若干生物系统的非互易流体动力学响应提供了直接机制。然而，实现奇压作为输运系数的微观模型相对稀少。在此，我们基于Frisch-Hasslacher-Pomeau II模型构建了这样一个模型，该模型使用具有静止粒子和手性碰撞的格子气自动机，其Chapman-Enskog粗粒化过程产生非零的奇压系数。关键要素是一种局部宇称破缺碰撞，它在静止粒子存在时微弱地旋转移动粒子。在流体动力学尺度上，这种微观规则起到有效磁场的作用，将模型的体粘性转换为奇压。更一般地，我们推导了将霍尔粘度、奇压和奇扭矩与模型中它们的宇称偶对应量联系起来的表达式。
英文摘要
Odd pressure is a parity-odd transport coefficient that gives an isotropic pressure response to vorticity in compressible two-dimensional fluids. By asymmetrically coupling vortical and compressional modes, it provides a direct mechanism for a nonreciprocal hydrodynamic response reminiscent of several biological systems. Yet microscopic models realizing odd pressure as a transport coefficient are relatively scarce. Here, we construct one such model using a lattice-gas cellular automaton based on the Frisch-Hasslacher-Pomeau II model with rest particles and chiral collisions, whose Chapman-Enskog coarse-graining produces a nonzero odd pressure coefficient. The key ingredient is a local parity-breaking collision that weakly rotates moving particles in the presence of a rest particle. At hydrodynamic scales, this microscopic rule acts as an effective magnetic field, converting the model's bulk viscosity into odd pressure. More generally, we derive expressions relating Hall viscosity, odd pressure, and odd torque to their parity-even counterparts in our model.
发表机构
- City College of the City University of New York（纽约市立大学城市学院）
- Western Washington University（西华盛顿大学）
- Graduate Center of City University of New York（纽约市立大学研究生院）
机构由 AI 辅助整理，请以论文原文为准。
