Systems with Symmetry Breaking and Restoration
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 illustrat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2010-01-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/2/1/40/ |
| _version_ | 1798025905917919232 |
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| author | Vyacheslav I. Yukalov |
| author_facet | Vyacheslav I. Yukalov |
| author_sort | Vyacheslav I. Yukalov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T18:27:38Z |
| format | Article |
| id | doaj.art-61dfe091e8e544b1836464154a66a8c6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T18:27:38Z |
| publishDate | 2010-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-61dfe091e8e544b1836464154a66a8c62022-12-22T04:09:35ZengMDPI AGSymmetry2073-89942010-01-0121406810.3390/sym2010040Systems with Symmetry Breaking and RestorationVyacheslav I. YukalovStatistical 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.http://www.mdpi.com/2073-8994/2/1/40/spontaneous symmetry breakingspontaneous symmetry restorationweighted Hilbert spacesferroelectric-paraelectric phase transitionrelaxor ferroelectrics |
| spellingShingle | Vyacheslav I. Yukalov Systems with Symmetry Breaking and Restoration Symmetry spontaneous symmetry breaking spontaneous symmetry restoration weighted Hilbert spaces ferroelectric-paraelectric phase transition relaxor ferroelectrics |
| title | Systems with Symmetry Breaking and Restoration |
| title_full | Systems with Symmetry Breaking and Restoration |
| title_fullStr | Systems with Symmetry Breaking and Restoration |
| title_full_unstemmed | Systems with Symmetry Breaking and Restoration |
| title_short | Systems with Symmetry Breaking and Restoration |
| title_sort | systems with symmetry breaking and restoration |
| topic | spontaneous symmetry breaking spontaneous symmetry restoration weighted Hilbert spaces ferroelectric-paraelectric phase transition relaxor ferroelectrics |
| url | http://www.mdpi.com/2073-8994/2/1/40/ |
| work_keys_str_mv | AT vyacheslaviyukalov systemswithsymmetrybreakingandrestoration |