On the Phase Diagram of the q->1 Extended Potts Model and Lattice Animal Collapse

Details On the Phase Diagram of the q->1 Extended Potts Model and Lattice Animal Collapse On the Phase Diagram of the q->1 Extended Potts Model and Lattice Animal Collapse

1995-12-11

arxiv.org/abs/cond-mat/9512074v1

Physics

Condensed Matter

Invited talk given at the Seventh Nankai Workshop on Symmetry, Statistical Mechanics Models and Related Topics, 12-13 Aug. 199

Scientific paper

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 theta 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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