PHASE-SEPARATION MODEL WITH CONSERVED ORDER-PARAMETER ON THE BETHE LATTICE

We obtain an exact time dependent solution of the zero temperature Kawasaki-type dynamics of a phase separation model on the Bethe lattice with arbitrary coordination number. We also do a direct numerical simulation and show an excellent match between the analytical and numerical results. The nonergodic dynamics leads to a frozen final state whose structure depends crucially on the initial conditions.