The Mpemba effect occurs when two samples at different initial temperatures evolve in such a way that the cross each other during relaxation toward equilibrium. In this paper, we show emergence of Mpemba-like molecular binary mixture contact with thermal reservoir (bath). interaction between gaseous particles and is modeled via viscous drag force plus stochastic Langevin-like term. presence ext...

An a priori derivation of the lattice Boltzmann equations for binary mixtures is provided by discretizing the Boltzmann equations that govern the evolution of binary mixtures. The present model leads to a set of two-fluid hydrodynamic equations for the mixture. In existing models, employing the single-relaxation-time approximation, the viscosity and diffusion coefficients are coupled through th...