Fluctuating multicomponent lattice Boltzmann model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D BelardinelliF Varnik

Abstract

Current implementations of fluctuating lattice Boltzmann equations (FLBEs) describe single component fluids. In this paper, a model based on the continuum kinetic Boltzmann equation for describing multicomponent fluids is extended to incorporate the effects of thermal fluctuations. The thus obtained fluctuating Boltzmann equation is first linearized to apply the theory of linear fluctuations, and expressions for the noise covariances are determined by invoking the fluctuation-dissipation theorem directly at the kinetic level. Crucial for our analysis is the projection of the Boltzmann equation onto the orthonormal Hermite basis. By integrating in space and time the fluctuating Boltzmann equation with a discrete number of velocities, the FLBE is obtained for both ideal and nonideal multicomponent fluids. Numerical simulations are specialized to the case where mean-field interactions are introduced on the lattice, indicating a proper thermalization of the system.

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Citations

Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A SubhedarF Varnik
Aug 17, 2018·Physical Review. E·X XueF Toschi
Jul 1, 2020·Physical Review Letters·M Reza Parsa, Alexander J Wagner
Oct 16, 2016·Physical Review. E·Alexander J Wagner, Kyle Strand
Jul 25, 2019·Physical Review. E·Daniele BelardinelliSergio Ciliberto
Jul 18, 2021·Physical Review. E·Matteo LulliXiaowen Shan

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