2014 Fiscal Year Final Research Report
Equivalence and inequivalence of microcanonical and canonical ensembles in spin glasses
| Project/Area Number |
23540440
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | ミクロカノニカル分布 / カノニカル分布 / スピングラス |
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| Outline of Final Research Achievements |
Statistical mechanics aims to clarify the behavior of systems with many microscopic components. Microcanonical and canonical ensembles of statistical mechanics lead to the same results in most cases, but this is known not to be the case where the system has singular properties such as long-range interactions. In the present study, we have analytically clarified conditions under which the ensembles become equivalent or the mean-field theory gives exact answers.
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| Free Research Field |
統計力学
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