THERMODYNAMIC ENTROPY AND TEMPERATURE OF A NINE VELOCITIES LATTICE GAS AUTOMATON

Using the microcanonical ensemble formalism we obtain the equilibrium entropy density of a nine velocities lattice gas automaton on a square lattice. From the entropy all the thermodynamic equilibrium properties follow but we focus on the temperature. Our results are exact, so that any definition of temperature used when studying the hydrodynamic behavior of the model should reduce to the thermodynamic temperature.