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Deriving partition functions and entropic functionals from thermodynamics

Author

Listed:
  • Plastino, A.
  • Curado, E.M.F.
  • Nobre, F.D.

Abstract

Given an arbitrary probability distribution and a nondegenerate energy spectrum, so that a mean energy U can be computed, we derive the partition function Z and the entropic functional S that satisfy the basic relation dU=TdS. The procedure is illustrated by considering examples of typical distributions found currently in nature. In particular, the power-law spectrum is shown to correspond to a critical state, associated with Tsallis’ entropy.

Suggested Citation

  • Plastino, A. & Curado, E.M.F. & Nobre, F.D., 2014. "Deriving partition functions and entropic functionals from thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 13-20.
    • Handle: RePEc:eee:phsmap:v:403:y:2014:i:c:p:13-20
    DOI: 10.1016/j.physa.2014.02.009
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