Homotopy in statistical physics
In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homot...
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| Veröffentlicht in: | Condensed Matter Physics |
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| Datum: | 2006 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/121322 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Homotopy in statistical physics / R. Kenna // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 283–304. — Бібліогр.: 74 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-121322 |
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Kenna, R. 2017-06-14T05:53:42Z 2017-06-14T05:53:42Z 2006 Homotopy in statistical physics / R. Kenna // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 283–304. — Бібліогр.: 74 назв. — англ. 1607-324X PACS: 02.40.Pc, 05.20.-y, 64.60.-i, 64.70.Md, 64.70.-p DOI:10.5488/CMP.9.2.283 https://nasplib.isofts.kiev.ua/handle/123456789/121322 In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities in this area are reviewed and some possible future directions are discussed. The author wishes to thank Bertrand Berche, Arnaldo Donoso and Ricardo Paredes for their organizing the Mochima Spring School. The remaining participants, and in particular the students, are also thanked for making the School so dynamic and interesting. The author further thanks Dominique Mouhanna and Aernout van Enter for enlightening comments. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Homotopy in statistical physics Гомотопія в статичній фізиці Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Homotopy in statistical physics |
| spellingShingle |
Homotopy in statistical physics Kenna, R. |
| title_short |
Homotopy in statistical physics |
| title_full |
Homotopy in statistical physics |
| title_fullStr |
Homotopy in statistical physics |
| title_full_unstemmed |
Homotopy in statistical physics |
| title_sort |
homotopy in statistical physics |
| author |
Kenna, R. |
| author_facet |
Kenna, R. |
| publishDate |
2006 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Гомотопія в статичній фізиці |
| description |
In condensed matter physics and related areas, topological defects play important roles in phase transitions
and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a
pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the
latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities
in this area are reviewed and some possible future directions are discussed.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/121322 |
| citation_txt |
Homotopy in statistical physics / R. Kenna // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 283–304. — Бібліогр.: 74 назв. — англ. |
| work_keys_str_mv |
AT kennar homotopyinstatisticalphysics AT kennar gomotopíâvstatičníifízicí |
| first_indexed |
2025-12-07T20:04:35Z |
| last_indexed |
2025-12-07T20:04:35Z |
| _version_ |
1850881212920365056 |