Journal of Statistical Physics, Vol. 81, Nos. 1/2, 1995. p. 347-359.
For lattice gas systems obeying Fermi-Dirac statistics, an H-theorem can be proved with a more general condition that the semi-detailed balance condition. This new condition allows more flexible transition rates among states, so that it has broader applicability for various lattice gas models, including those which have multiple phase properties.