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VI. Dynamic and Thermodynamic Stability of Nonextensive Systems

  • J. Naudts
  • M. Czachor
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 560)

Abstract

We prove uniqueness of the equilibrium states of q-thermodynamics for 1<q≤2, using both the unnormalized and the recently introduced normalized energy functional. The proof follows from thermodynamic stability of equilibrium states in case of the unnormalized energy. Dynamic stability is shortly discussed.

Keywords

Free Energy Density Matrix Thermodynamic Stability Dynamic Stability Invariant Density 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • J. Naudts
    • 1
  • M. Czachor
    • 1
    • 2
    • 3
  1. 1.Departement NatuurkundeUniversiteit Antwerpen, UIAAntwerpenBelgium
  2. 2.Katedra Fizyki Teoretycznej i Metod MatematycznychPolitechnika Gdańska ul.GdaínskPoland
  3. 3.Arnold Sommerfeld Institute for Mathematical Physics Technical University of ClausthalClausthal-ZellerfeldGermany

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