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 homotop...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute for Condensed Matter Physics
2006-01-01
|
| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.5488/CMP.9.2.283 |
| id |
doaj-dfe232fe49104fc8b064db1f3b745911 |
|---|---|
| record_format |
Article |
| spelling |
doaj-dfe232fe49104fc8b064db1f3b7459112020-11-24T23:45:07ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2006-01-019228330410.5488/CMP.9.2.283Homotopy in statistical physicsR.KennaIn 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.http://dx.doi.org/10.5488/CMP.9.2.283homotopyphase transitionsscalingtopological defects |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R.Kenna |
| spellingShingle |
R.Kenna Homotopy in statistical physics Condensed Matter Physics homotopy phase transitions scaling topological defects |
| author_facet |
R.Kenna |
| author_sort |
R.Kenna |
| title |
Homotopy in statistical physics |
| 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 |
| publisher |
Institute for Condensed Matter Physics |
| series |
Condensed Matter Physics |
| issn |
1607-324X |
| publishDate |
2006-01-01 |
| 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. |
| topic |
homotopy phase transitions scaling topological defects |
| url |
http://dx.doi.org/10.5488/CMP.9.2.283 |
| work_keys_str_mv |
AT rkenna homotopyinstatisticalphysics |
| _version_ |
1725497194880958464 |