Stochastic resonance in coupled phase transitions

摘要

A study was conducted to propose a set of two nonlinear stochastic differential equations describing the interaction of phase transitions in systems with developed fluctuations. The investigations showed the occurrence of the stochastic resonance in the set of two equations modeling the critical and transient modes of thermal and mass transport with the phase transitions and in the presence of external harmonic action. It was demonstrated that the stochastic set modeling the coupled phase transitions could be written in the elementary case. The maximum-entropy principle was used for analyzing the stability of complex random processes, which arose with additional action of harmonic force on the system. It was shown that the steady resulting processes corresponding to the maximum entropy were divided into two branches.