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Symmetry 2010, 2(1), 40-68; doi:10.3390/sym2010040
Article

Systems with Symmetry Breaking and Restoration

Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia
Received: 15 December 2009 / Accepted: 29 December 2009 / Published: 11 January 2010
(This article belongs to the Special Issue Symmetry Breaking Phenomena)
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Abstract

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.
Keywords: spontaneous symmetry breaking; spontaneous symmetry restoration; weighted Hilbert spaces; ferroelectric-paraelectric phase transition; relaxor ferroelectrics spontaneous symmetry breaking; spontaneous symmetry restoration; weighted Hilbert spaces; ferroelectric-paraelectric phase transition; relaxor ferroelectrics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yukalov, V.I. Systems with Symmetry Breaking and Restoration. Symmetry 2010, 2, 40-68.

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