Mesoscopic dynamics of Voronoi fluid particles

Abstract

We compare and contrast two recently reported mesoscopic fluid particle models based on a two-dimensional Voronoi tessellation. Both models describe a Newtonian fluid at mesoscopic scales where fluctuations are important. From the requirement of thermodynamic consistency, the equilibrium distribution function is given through the Einstein distribution function. We compute from the Einstein distribution the equilibrium distribution function for a single fluid particle. We observe excellent agreement between the simulation results for the proposed models and the theoretical distribution function.