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

Malte Henkel

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arXiv · cond-mat/9512074

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

Malte Henkel

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Abstract

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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Malte Henkel. 1995-12-11. On the Phase Diagram of the q->1 Extended Potts Model and Lattice Animal Collapse. https://arxiv.org/abs/cond-mat/9512074

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