Tsallis nonextensive statistics with normalized q expectation values: Thermodynamical stability and simple illustrations

Oct, 2000
8 pages
Published in:
  • Physica A 275 (2000) 396

Citations per year

2009201320172021202510
Abstract: (Elsevier)
We prove that the specific heat C q / q is nonnegative for q ∉[0,1) in the Tsallis generalized canonical ensemble with normalized q -expectation values. In this way, we show the thermodynamic stability for this ensemble. We also analyze the behavior of some thermodynamic functions such as internal energy and specific heat in the classical and quantum cases considering a spectrum of energy E n = ε | n | r ( ε , r >0).
  • 05.70.Ce
  • 05.30.-d
  • 05.20.-y
  • 05.30.Ch