On the thermal relaxation of a dense gas described by the modified Enskog equation in a closed system in contact with a heat bath

The thermal relaxation of a dense gas described by the modified Enskog equation is studied for closed system in contact with heat bath. As case Boltzmann equation, Helmholtz free energy $ \mathcal{F} that decreases monotonically time found under conventional kinetic boundary condition satisfies Darrozes–Guiraud inequality. extension to Enskog–Vlasov also presented.