title: Thermal fluctuations in the lattice Boltzmann method for nonideal fluids.
abstract: We introduce thermal fluctuations in the lattice Boltzmann method for nonideal fluids. A fluctuation-dissipation theorem is derived within the Langevin framework and applied to a specific lattice Boltzmann model that approximates the linearized fluctuating Navier-Stokes equations for fluids based on square-gradient free-energy functionals. The obtained thermal noise is shown to ensure equilibration of all degrees of freedom in a simulation to high accuracy. Furthermore, we demonstrate that satisfactory results for most practical applications of fluctuating hydrodynamics can already be achieved using thermal noise derived in the long-wavelength limit.
authors.affiliation: Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Stiepeler Strasse 129, 44801 Bochum, Germany. markus.gross@rub.de
authors.forename: M
authors.initials: M
authors.lastname: Gross
authors.forename: R
authors.initials: R
authors.lastname: Adhikari
authors.forename: M E
authors.initials: ME
authors.lastname: Cates
authors.forename: F
authors.initials: F
authors.lastname: Varnik