Phase transitions in anisotropic multidimensional systems

Abstract

A new class of models, which might be used to describe the phase transitions in anisotropic multidimensional systems with both higher-order spatial order parameter (OP) derivatives and higher OP nonlinearities, is proposed. Such models may be useful in the study of phase transitions in early universe cosmology; inflation cosmology; superstring, p-branes and other non-point objects theories. Both the upper and the lower critical dimensions of the models were calculated. It allows one to define the ranges of the mean-field theory applicability for describing critical phenomena in the proposed models.