Relaxation dynamics of metastable systems: application to polar medium

Ginzburg–Landau theory for ferroelectric phase instability is connected with Fokker–Planck equation techniques to model impact of thermal noise in the kinetics of ferroelectric polarization. Distinguishing features of this approach accounting for spatially inhomogeneous external field, finite size effects and boundary conditions are based on an auxiliary relationship addressing the problem to imaginary time Schrödinger equation with well-developed numerical techniques for its solution.