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

Mathematical Physics 2007-05-23 v1 math.MP

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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Cite

@article{arxiv.0704.0417,
  title  = {Thermodynamic Stability - A note on a footnote in Ruelle's book},
  author = {Bernhard Baumgartner},
  journal= {arXiv preprint arXiv:0704.0417},
  year   = {2007}
}

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8 pages