Influence of the temperature changing regime on phase separation processes I. Case of the nonconserved order parameter

The influence of a temperature changing regime (TCR) on phase separation processes is studied by taking into account the interaction between the phase-separating subsystem and its thermal reservoir, which is represented as a phonon field. The Hamiltonian of such an interaction is introduced and the effective. Hamiltonian for the phase-separating subsystem is constructed using the path integral technique. As a result the modified time-dependent Ginzburg-Landau (TDGL) Hamiltonian is restored under specified conditions. The explicit dependence of the modified TDGL Hamiltonian coefficients on the TCR characteristics is found. The modified critical temperature, also dependent on the TCR, is introduced. The experimental evidence of such a dependence is presented. “Dynamic” phase diagrams are introduced which may be shifted during the TCR. The width of the dynamic metastable region also can be changed via a choice of the TCR characteristics.