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Dynamical stability and pure thermodynamic phases

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Abstract

A notion of stability of dynamics under distant perturbations is introduced. It is demonstrated, for quasi-local systems, that the stability of an equilibrium state under the same perturbations implies the state is factorial, i.e. strongly clustering in space. We also characterize the set of perturbations necessary to ensure the equivalence of stability and factorialness.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Wien, Wien, Austria

    Heidi Narnhofer

  2. Department de Physique, Universite d'Aix-Marseille II, Luminy, France

    Derek W. Robinson

  3. Centre de Physique théorique, C.N.R.S., 31, chemin J. Aiguier, F-13274, Marseille Cedex 2, France

    Derek W. Robinson

Authors
  1. Heidi Narnhofer
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  2. Derek W. Robinson
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Communicated by K. Hepp and J. L. Lebowitz

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Narnhofer, H., Robinson, D.W. Dynamical stability and pure thermodynamic phases. Commun.Math. Phys. 41, 89–97 (1975). https://doi.org/10.1007/BF01608550

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  • DOI: https://doi.org/10.1007/BF01608550

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