Works by A. I. Larkin on the theory of phase transitions

摘要

Anatolii Ivanovich Larkin was a physicist with an extremely diversified profile. The modern theory of superconductivity could not have been imagined without Larkin, who opened several new fields of research. Larkin's first paper in the theory of phase transitions was written with Vaks in 1966, in which the universality hypothesis in the theory of phase transitions (including developed fluctuations) was formulated. Using the Kadanoff and Polyakov algebra of fluctuating quantities (1969), they proved that small perturbations of the Hamiltonian with scaling dimensions larger than dimension of space lead to an insignificant displacement of the critical point in the parameter space of the system. Larkin and Pikin investigated the phase transition with a change in symmetry in an elastic solid. The idea is that long-range elastic forces attract regions with strong fluctuations of the order parameter and can induce a first-order transition in this way.