Journal of Statistical Physics, Vol. 52, Nos. 3/4, 1988. p. 1119-1127.
We introduce a new deterministic collision rule for lattice-gas (cellular-automaton) hydrodynamics that yields immiscible two-phase flow. The rule is based on a minimization principle and the conservation of mass, momentum,
and particle type. A numerical example demonstrates the spontaneous separation of two phases in two dimensions. numerical studies show that the surface tension coefficient obeys Laplace's formula.