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

Systems with Symmetry Breaking and Restoration

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Received: 15 December 2009; Accepted: 29 December 2009 / Published: 11 January 2010
(This article belongs to the Special Issue Symmetry Breaking Phenomena)
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.
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
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MDPI and ACS Style

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

AMA Style

Yukalov VI. Systems with Symmetry Breaking and Restoration. Symmetry. 2010; 2(1):40-68.

Chicago/Turabian Style

Yukalov, Vyacheslav I. 2010. "Systems with Symmetry Breaking and Restoration." Symmetry 2, no. 1: 40-68.

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