Transport Coefficients for Stochastic Rotation Dynamics in Three Dimensions

TL;DR

This paper derives explicit formulas for transport coefficients in a 3D stochastic fluid model using Green-Kubo relations, validating them with simulations and comparing two collision rules for efficiency.

Contribution

It provides the first explicit expressions for transport coefficients in a 3D stochastic rotation model, validated by simulation data.

Findings

Derived explicit transport coefficients for 3D stochastic fluid model

Validated formulas with simulation data showing excellent agreement

Compared computational efficiency of two collision rules

Abstract

Explicit expressions for the transport coefficients of a recently introduced stochastic model for simulating fluctuating fluid dynamics are derived in three dimensions by means of Green-Kubo relations and simple kinetic arguments. The results are shown to be in excellent agreement with simulation data. Two collision rules are considered and their computational efficiency is compared.