Phase Diagram of Horizontally Invariant Gibbs States for Lattice Models
نویسندگان
چکیده
We study interfaces between two coexisting stable phases for a general class of lattice models. In particular, we are dealing with the situation where several different interface configurations may enter the competition for the ideal interface between two fixed stable phases. A general method for constructing the phase diagram is presented. Namely, we give a prescription determining which of the phases and which of the interfaces are stable at a given temperature and for given values of parameters in the Hamiltonian. The stability here means that typical configurations of the limiting Gibbs state constructed with the corresponding interface boundary conditions differ only on a set consisting of finite components (“islands”) from the corresponding ideal interface. †Partly supported by the grants GAČR 201/00/1149 and MSM 110000001 and 113200007. Typeset by AMS-TEX 1
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