The Low-temperature Expansion of 3d Random-cluster Model

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چکیده

We summarize results of [1]. Among other things, they compute the first order expansion to the surface tension for all q−state Potts models at very low temperatures. Using this expansion, they determine the asymptotic shape of the Wulff crystal defined by the surface tension functional determined by an infinite volume Gibbs State at very low temperature. Their results are formulated in terms of the random cluster measures that the Potts models induce.

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تاریخ انتشار 2005