When non-extensive entropy becomes extensive

Wada Tatsuaki and Saito Takeshi

Physica A: Statistical Mechanics and its Applications, 2001, vol. 301, issue 1, 284-290

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.

Keywords: Non-extensivity; Tsallis’ entropy; Pseudo-additivity; Power law (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:301:y:2001:i:1:p:284-290

DOI: 10.1016/S0378-4371(01)00400-9

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