The effects of the kinetics of polarization switching in ferroelectrics, taking into account the spatio-temporal fluctuations of the polarization field, given by the Langevin and Fokker-Planck equations, are studied. A Fokker-Planck equation is derived, which describes the polarization reversal in terms of Fourier amplitudes. A monotone and stable exponential-type finite volume difference scheme is elaborated to solve this equation numerically in a spatially homogeneous case, where the equation is one-dimensional. The temporal behaviour of the polarization probability distribution is calculated in presence of a sinusoidal field and white noise. The resulting hysteresis of the mean polarization is discussed for different noise intensities.
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
Tel.: +1 703 830 6300
Fax: +1 703 830 2300 firstname.lastname@example.org
(Corporate matters and books only) IOS Press c/o Accucoms US, Inc.
For North America Sales and Customer Service
West Point Commons
Lansdale PA 19446
Tel.: +1 866 855 8967
Fax: +1 215 660 5042 email@example.com