Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

Phase transition dynamics is centrally important to condensed matter physics. This 2002
book treats a wide variety of topics systematically by constructing time-dependent Ginzburg …

Non-Fickian diffusion driven by gradients in chemical potential rather than concentration is
important for nonideal mixtures. Conventional formulations of the chemical potential must be …

The aim of this paper is twofold: the first aim is to formulate and validate a multi-scale
discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal …

Many systems exist in multiple phases, depending on the values of external parameters, for
example, temperature (T), pressure (P), and so on. In this context, consider a fluid (eg …

The late-stage demixing following spinodal decomposition of a three-dimensional symmetric
binary fluid mixture is studied numerically, using a thermodynamically consistent lattice …

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium
thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new …

The lattice Boltzmann algorithm efficiently simulates the Navier-Stokes equation of
isothermal fluid flow, but ignores thermal fluctuations of the fluid, important in mesoscopic …

In this article, we propose a conservative phase-field method for tracking the interfaces
among three immiscible (ternary) fluids. We formulate a new lattice Boltzmann model to …

A two-fluid lattice Boltzmann model for binary mixtures is developed. The model is derived
formally from kinetic theory by discretizing two-fluid Boltzmann equations in which mutual …