| Autor: |
Kirkpatrick, Kay, Nawaz, Tayyab |
| Předmět: |
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| Zdroj: |
Journal of Statistical Physics; Dec2016, Vol. 165 Issue 6, p1114-1140, 27p |
| Abstrakt: |
We study mean-field classical N-vector models, for integers $$N\ge 2$$ . We use the theory of large deviations and Stein's method to study the total spin and its typical behavior, specifically obtaining non-normal limit theorems at the critical temperatures and central limit theorems away from criticality. Important special cases of these models are the XY ( $$N=2$$ ) model of superconductors, the Heisenberg ( $$N=3$$ ) model [previously studied in Kirkpatrick and Meckes (J Stat Phys 152:54-92, 2013) but with a correction to the critical distribution here], and the Toy ( $$N=4$$ ) model of the Higgs sector in particle physics. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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