Palmer, RG; Frisch, HL, *Low-and high-dimension limits of a phase separation model*,
Journal of Statistical Physics, vol. 38 no. 5-6
(1985),
pp. 867-872 [doi] .
**Abstract:**

*We study a simple zero-temperature model for phase separation of a binary alloy, in which nearest-neighbor interchange can occur if the fraction of AB pairs is not thereby increased. We present analytic results for the one-dimensional case and numerical results for the infinite dimensionality limit on a Cayley tree. In neither limit does the final fraction of AB pairs agree with the dimension-independent result found previously in d=3, 4, 5. © 1985 Plenum Publishing Corporation.*