Thermodynamic Stability - A note on a footnote in Ruelle's book

2007/04/03 by Bernhard Baumgartner, Baumgartner, Bernhard
Mathematics · Physics and Astronomy · #20K99 #52A07 #82B05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:20K99 #msc:52A07 #msc:82B05

paper · pdf · doi:10.48550/arxiv.0704.0417

8 pages

arxiv created 2007/04/03 · arxiv updated 2009/12/01

Abstract

Thermodynamic stable interaction pair potentials which are not of the form ``positive function + real continuous function of positive type'' are presented in dimension one. Construction of such a potential in dimension two is sketched. These constructions use only elementary calculations. The mathematical background is discussed separately.

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