Abstract

Equations for calculation of correlation length critical indices and the other critical indices for systems of different space dimensionality have been derived on the basis of the fluctuation theory of phase transition (FTPT) and inequalities for values of the critical indices. The values of the critical indices for two-, three-, four-spatial dimensionalities have been calculated by using these equations. The results obtained have a good agreement with classical theory of critical phenomena for d=4, three-dimensional Ising model ( d=3), and satisfy the Onsager solution for two-dimensional Ising model ( d=2).

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