%0 Journal Article
%T Systems with Symmetry Breaking and Restoration
%A Vyacheslav I. Yukalov
%J Symmetry
%D 2010
%I MDPI AG
%R 10.3390/sym2010040
%X Statistical systems, in which spontaneous symmetry breaking can be accompanied by spontaneous local symmetry restoration, are considered. A general approach to describing such systems is formulated, based on the notion of weighted Hilbert spaces and configuration averaging. The approach is illustrated by the example of a ferroelectric with mesoscopic fluctuations of paraelectric phase. The influence of the local symmetry restoration on the system characteristics, such as sound velocity and Debye-Waller factor, is discussed.
%K spontaneous symmetry breaking
%K spontaneous symmetry restoration
%K weighted Hilbert spaces
%K ferroelectric-paraelectric phase transition
%K relaxor ferroelectrics
%U http://www.mdpi.com/2073-8994/2/1/40