01-331 Jacob Schach Moeller

Low-temperature localization for continuous spin-systems (105K, amstex) Sep 19, 01

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Abstract. We study the free energy of continuous spin-systems on $\Bbb Z^d$, 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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