The "frozen in" fluctuations in systems with non-conserved order parameter

An early time kinetics of a system with non-conserved order parameter quenched into unstable two-phase region of the phase diagram is considered. The process of phase separation under the influence of random inhomogeneities of the phenomenological coefficient in the Ginzburg-Landau-type equation of motion is studied. The combined effect of this 'frozen-in' (time-independent) fluctuations and persistent thermal fluctuations on the structure factor is discussed. The classical Lifshits-Allen-Cahn law is reproduced, however, in the limit of applicability tin time) of the present analysis.