ABSTRACT

308We begin by considering the Broadwell model[1],[4] of a gas of identical particles each of mass m contained in ℝ3. A point in ℝ3 is identified with its coordinates (x y, z). Particles move with six fixed velocities v 1 = c(1,0, 0), v 2 = c(–1,0,0), v 3 = c(0, 1, 0), v 4 = c(0, –1,0), v 5 = c(0,0,1), v 6 = c(0, 0, –1). As the particles move they may collide in a binary fashion with only elastic collisions permitted. Elastic collisions conserve mass, momentum, and energy.