• Submit to Symmetry Login Register
• MDPI
• Journals A-Z
• For Authors
• For Editors
• About
• Open Access Policy

• Abstract
• Full-Text PDF [225 KB]

• Article Statistics
• Google Scholar
• Order Reprints

• Cite this article
• Export to BibTeX
• Export to EndNote

• [+] on DOAJ
• Yukalov, VI.
• [+] on Google Scholar
• Yukalov, VI.
• [+] on PubMed
• Yukalov, VI.

•  CiteULike
•  Facebook
•  Mendeley
•  Twitter

This article is

• freely available
• re-usable

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

Article

Systems with Symmetry Breaking and Restoration

Vyacheslav I. Yukalov

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)

Download PDF Full-Text [225 KB, uploaded 12 January 2010 08:39 CET]

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

Article Statistics

Cite This Article