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When non-extensive entropy becomes extensive

Author

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  • Tatsuaki, Wada
  • Takeshi, Saito

Abstract

Tsallis’ non-extensive entropy S−q enables us to treat both power and exponential evolutions of underlying microscopic dynamics on an equal footing by adjusting the variable entropic index q to proper one q∗. We propose an alternative constraint of obtaining the proper entropic index q∗ that the non-additive conditional entropy becomes additive if and only if q=q∗ in spite of the fact that the associated system cannot be decomposed into statistically independent subsystems. Long-range (time) correlation expressed by the q-exponential function is discussed based on the nature that the q-exponential function cannot be factorized into independent factors when q≠1.

Suggested Citation

  • Tatsuaki, Wada & Takeshi, Saito, 2001. "When non-extensive entropy becomes extensive," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 284-290.
    • Handle: RePEc:eee:phsmap:v:301:y:2001:i:1:p:284-290
    DOI: 10.1016/S0378-4371(01)00400-9
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