First-Order Transitions for Very Nonlinear Sigma Models

S. Shlosman, A.C.D. van Enter

2007, v.13, Issue 2, 239-249


In this contribution we discuss the occurrence of first-order transitions in temperature in various short-range lattice models with a rotation symmetry. Such transitions turn out to be widespread under the condition that the interaction potentials are sufficiently nonlinear.

Keywords: first-order transitions,order-disorder transitions,nonlinear vector models,liquid crystals,lattice gauge models


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