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

Systems with Symmetry Breaking and Restoration

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
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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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