A model with simultaneous first and second order phase transitions

Details A model with simultaneous first and second order phase transitions A model with simultaneous first and second order phase transitions

2005-01-11

arxiv.org/abs/cond-mat/0501229v1

J. Stat. Phys., 122 (2006) 1-14

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures using pstricks and pst-coil

Scientific paper

10.1007/s10955-005-8071-1

We introduce a two dimensional nonlinear XY model with a second order phase transition driven by spin waves, together with a first order phase transition in the bond variables between two bond ordered phases, one with local ferromagnetic order and another with local antiferromagnetic order. We also prove that at the transition temperature the bond-ordered phases coexist with a disordered phase as predicted by Domany, Schick and Swendsen. This last result generalizes the result of Shlosman and van Enter (cond-mat/0205455). We argue that these phenomena are quite general and should occur for a large class of potentials.

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