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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 (CC BY 3.0).

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

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