Titlebook: Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics; Errico Presutti Book 2009 Springer-Verlag Berlin Heide

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Surface tension, Gamma convergence, Wulff shape the surface tension of the L–P functional is identified by means of several distinct limit procedures, proving that they all give the same result. In particular a .-convergence theorem identifies in the macroscopic limit the excess free energy of an interface as the integral over the interface of t

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The LMP model and the Pirogov–Sinai strategyarising from such a new context are presented; in particular, it is shown that even the mean field case is non-trivial and cannot be explicitly solved. In Sect. 10.2 the LMP model (named after Lebowitz, Mazel and Presutti) is introduced and its mean field behavior established. In Sect. 10.3 the defi

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