There Are No Nice Interfaces in 2+1 Dimensional Sos-models in Random Media
نویسنده
چکیده
We prove that in dimension d 2 translation covariant Gibbs states describing rigid interfaces in a disordered solid-on-solid (SOS) cannot exist for any value of the temperature, in contrast to the situation in d 3. The prove relies on an adaptation of a theorem of Aizenman and Wehr.
منابع مشابه
There Are No Nice Interfaces in 2+1 Dimensional Sos-models in Random Media1
SOS-MODELS IN RANDOM MEDIA1 Anton Bovier 2 Weierstra -Institut f ur Angewandte Analysis und Stochastik Mohrenstrasse 39, D-10117 Berlin, Germany Christof K ulske3 Institut de Recherche Math ematique de Rennes Universit e de Rennes 1 Campus de Beaulieu F-35042 Rennes Cedex, France Abstract: We prove that in dimension d 2 translation covariant Gibbs states describing rigid interfaces in a disor...
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تاریخ انتشار 1999