caa a22 4500 445391618 CHVBK 20180317143048.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10955-010-0094-6 doi (NATIONALLICENCE)springer-10.1007/s10955-010-0094-6 Crawford Nicholas Department of Industrial Engineering, The Technion, Haifa, Israel aut On Random Field Induced Ordering in the Classical XY Model [Elektronische Daten] [Nicholas Crawford] Consider the classical XY model in a weak random external field pointing along the Y axis with strength ε. We study the behavior of this model as the range of the interaction is varied. We prove that in any dimension d≥2 and for all ε sufficiently small, there is a range L=L(ε) so that whenever the inverse temperature β is larger than some β(ε), there is strong residual ordering along the X direction. Springer Science+Business Media, LLC, 2010 Random field induced ordering nationallicence XY model nationallicence Kac interactions nationallicence Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/1(2011-01-01), 11-42 0022-4715 142:1<11 2011 142 10955 https://doi.org/10.1007/s10955-010-0094-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-010-0094-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Crawford Nicholas Department of Industrial Engineering, The Technion, Haifa, Israel aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/1(2011-01-01), 11-42 0022-4715 142:1<11 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer