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Density operators that extremize Tsallis entropy and thermal stability effects

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  • Vignat, C.
  • Plastino, A.

Abstract

Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PDs) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in which the system is characterized by a series of discrete eigenstates of the Hamiltonian. Using these discrete PDs as “weights” leads to density operators of a rather general character. The present study allows one to vividly exhibit the effects of non-extensivity. Varying Tsallis’ non-extensivity index q one is seen to pass from unstable to stable systems and even to unphysical situations of infinite energy.

Suggested Citation

  • Vignat, C. & Plastino, A., 2006. "Density operators that extremize Tsallis entropy and thermal stability effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 139-160.
    • Handle: RePEc:eee:phsmap:v:361:y:2006:i:1:p:139-160
    DOI: 10.1016/j.physa.2005.07.013
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    References listed on IDEAS

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    1. Vignat, C & Hero III, A.O & Costa, J.A, 2004. "About closedness by convolution of the Tsallis maximizers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 147-152.
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