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Название: Finite-Size Scaling for Mean-Field Percolation
Авторы: Gaveau B., Schulman L.S.
Journal of Statistical Physics, Vol. 70, Nos. 3/4, 1993, p. 613-634.
By studying transfer matrix eigenvalues, correlation lengths for a mean field directed percolation model are obtained both near and far from the critical regime. Near criticality, finite-size scaling behavior is derived and an analytic technique is provided for obtaining the finite-size scaling function. Our methods involve the generating function, matched asymptotic expansions, and certain formulas developed for the study of eigenvalues of the transfer matrix for metastability.