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Название: Low- and High-Dimension Limits of a Phase Separation Model
Авторы: Palmer R.G., Frisch H.L.
Journal of Statistical Physics, Vol. 38, Nos. 5/6, 1985. p. 867-872.
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.