caa a22 4500 467892385 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10955-005-8071-1 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8071-1 A Model with Simultaneous First and Second Order Phase Transitions [Elektronische Daten] [Alain Messager, Bruno Nachtergaele Molchanov] 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 anti-ferromagnetic 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 [1]. This last result generalizes the result of van Enter and Shlosman [2] We argue that these phenomena are quite general and should occur for a large class of potentials. Springer Science + Business Media, Inc., 2006 XY model nationallicence Phase transitions nationallicence Phases coexistence nationallicence Decay of correlations nationallicence Messager Alain Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille, France aut Molchanov Bruno Nachtergaele Department of Mathematics, University of California at Davis, 95616, Davis, CA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 1-14 0022-4715 122:1<1 2006 122 10955 https://doi.org/10.1007/s10955-005-8071-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8071-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Messager Alain Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille, France aut NATIONALLICENCE 700 1- Molchanov Bruno Nachtergaele Department of Mathematics, University of California at Davis, 95616, Davis, CA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 1-14 0022-4715 122:1<1 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer