Hydrodynamics of a three-dimensional mesoscale odd fluid
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.
Cite
@article{arxiv.2508.04420,
title = {Hydrodynamics of a three-dimensional mesoscale odd fluid},
author = {Yuxing Jiao and Mingcheng Yang},
journal= {arXiv preprint arXiv:2508.04420},
year = {2025}
}