Low-Temperature Localisation for Continuous Spin-Systems |
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Authors: | Møller Jacob Schach |
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Institution: | (1) Département de Mathématique, Université Paris-sud, 91405 Orsay Cedex, France |
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Abstract: | We study the free energy of continuous spin-systems on Z
d
, in the framework of Laplace integrals and transfer operators. Under a weak coupling condition, we show that the free energy in the low-temperature limit is determined, up to an exponentially small error, by the restriction to a neighbourhood of global minima of the energy. We have results for some single- and double-well problems. |
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Keywords: | free energy low temperature limit localisation single- and double-well |
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