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arXiv · 2508.04420

Mesoscale model of a three-dimensional odd fluid

Yuxing Jiao·Mingcheng Yang
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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.

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Yuxing Jiao, Mingcheng Yang. 2025-08-06. Mesoscale model of a three-dimensional odd fluid. https://doi.org/10.1103/h95h-xx2j

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