Journal of Statistical Physics, Vol. 114, Nos. 1/2, January 2004. p. 327-360.
The maximum entropy formalism is used to investigate the growth of entropy (H-theorem) for an isolated system of hard spheres in an external potential under general boundary geometry. Assuming that only correlations of a finite number of particles are controlled and the rest maximizes entropy, we obtain an H-theorem for such a system The limiting cases such as the modified Enskog equation and linear kinetic theory are discussed.