title: Fluctuating multicomponent lattice Boltzmann model.
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.
authors.affiliation: Department of Physics, University of Rome "Tor Vergata," Via della Ricerca Scientifica 1, 00133 Rome, Italy.
authors.forename: D
authors.initials: D
authors.lastname: Belardinelli
authors.affiliation: Department of Physics, University of Rome "Tor Vergata," Via della Ricerca Scientifica 1, 00133 Rome, Italy.
authors.forename: M
authors.initials: M
authors.lastname: Sbragaglia
authors.affiliation: Department of Physics, University of Rome "Tor Vergata," Via della Ricerca Scientifica 1, 00133 Rome, Italy.
authors.forename: L
authors.initials: L
authors.lastname: Biferale
authors.affiliation: Max-Planck-Institut für Intelligente Systeme, Heisenbergstraße 3, 70569 Stuttgart, Germany.|Institut für Theoretische Physik IV, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Gross
authors.affiliation: Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstrasse 150, 44780 Bochum, Germany.
authors.forename: F
authors.initials: F
authors.lastname: Varnik
mesh_terms: D003198:Computer Simulation; D057446:Hydrodynamics; D007700:Kinetics; D016014:Linear Models; D008962:Models, Theoretical; D013269:Stochastic Processes; D013696:Temperature