Endicott College, USA
In 1990, Hattori and Takesue introduced a family of cellular automata with additive conserved quantities. They also showed how these rules could be made microscopically reversible. Their work was in one spatial dimension, but there is no fundamental obstruction to extending it to two or even three spatial dimensions. These rules employ only one or two bits per site, so they are substantially simpler than lattice-gas automata, but they have not, to date, been used for the simulation of hydrodynamics. In this presentation, we study the hydrodynamics of Hattori-Takesue automata, and outline a program for their use as a hydrodynamic simulation tool.