Privman Vladimir 
 EXACT SOLUTION OF A PHASE SEPARATION MODEL
 WITH CONSERVED ORDER PARAMETER DYNAMICS
(26K, TeX (plain), PostScript figure)

ABSTRACT.  Pairwise particle-exchange model on a linear lattice is solved
exactly by a new rate-equation method. Lattice sites are occupied by
particles A and B which can exchange irreversibly provided the local
energy in reduced. Thus, the model corresponds to a
zero-temperature Kawasaki-type phase separation process. Due to
local order-parameter conservation, the dynamics reaches a frozen
state at large times, the structure of which depends on the initial
conditions.