Hydrodynamics of a three-dimensional mesoscale odd fluid

TL;DR

This paper extends mesoscale simulation and analytical models of odd fluids from two to three dimensions, revealing exotic transport behaviors and enabling large-scale exploration of their unique properties.

Contribution

It introduces a three-dimensional mesoscale model for anisotropic odd fluids with analytical derivations and simulation verification, expanding understanding of odd fluid dynamics.

Findings

Analytical viscosity tensor and Navier-Stokes equations for 3D odd fluids

Simulation verification of theoretical predictions

Discovery of exotic transport behavior in 3D Poiseuille flow

Abstract

Odd fluids are a class of fluids characterized by non-zero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was developed. Here, we extend the model to the three-dimensional case that corresponds to an anisotropic odd fluid with cylindrical symmetry. Using kinetic theory, we analytically derive the viscosity tensor and Navier-Stokes equation for the three-dimensional mesoscale odd fluid, which are quantitatively verified by simulations. Furthermore, through both simulation and hydrodynamic theory, we demonstrate that the planar Poiseuille flow of the three-dimensional odd fluid exhibits exotic transport behavior. This work thus paves the way for performing large-scale simulations to explore and exploit intriguing phenomena of odd fluids.