ON THE PHASE DIGRAM OF THE q → 1 EXTENDED POTTS MODEL AND LATTICE ANIMAL COLLAPSE a

نویسنده

  • Malte Henkel
چکیده

The phase diagram of the two-dimensional extended q−states Potts model is investigated in the q → 1 limit. This is equivalent to studying the phase diagram of a two-dimensional infinite interacting lattice animal. An exact solution on the Bethe lattice and a Migdal-Kadanoff renormalization group calculation predict a line of θ transitions from an extended to a compact phase in the lattice animal. We compare this with the phase diagram predicted from previous numerical studies.

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تاریخ انتشار 2008