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Metastability within the generalized canonical ensemble

Author

Listed:
  • Touchette, H.
  • Costeniuc, M.
  • Ellis, R.S.
  • Turkington, B.

Abstract

We discuss a property of our recently introduced generalized canonical ensemble [M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble, J. Stat. Phys. 119 (2005) 1283]. We show that this ensemble can be used to transform metastable or unstable (nonequilibrium) states of the standard canonical ensemble into stable (equilibrium) states within the generalized canonical ensemble. Equilibrium calculations within the generalized canonical ensemble can thus be used to obtain information about nonequilibrium states in the canonical ensemble.

Suggested Citation

  • Touchette, H. & Costeniuc, M. & Ellis, R.S. & Turkington, B., 2006. "Metastability within the generalized canonical ensemble," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 132-137.
    • Handle: RePEc:eee:phsmap:v:365:y:2006:i:1:p:132-137
    DOI: 10.1016/j.physa.2006.01.025
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    References listed on IDEAS

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    1. Campa, Alessandro & Giansanti, Andrea, 2004. "Canonical and microcanonical partition functions in long-range systems with order parameter space of arbitrary dimension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 170-177.
    2. Touchette, Hugo & Ellis, Richard S. & Turkington, Bruce, 2004. "An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 138-146.
    3. Ellis, Richard S. & Touchette, Hugo & Turkington, Bruce, 2004. "Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 518-538.
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