Non-extensive entropy from incomplete knowledge of Shannon entropy?

Details Non-extensive entropy from incomplete knowledge of Shannon entropy? Non-extensive entropy from incomplete knowledge of Shannon entropy?

2002-11-08

arxiv.org/abs/cond-mat/0211157v4

Physica Scripta 71 (2005) p. 443-446

Physics

Condensed Matter

Statistical Mechanics

v.4. 11 pages. Title changed. Content substantially changed: added discussion of several points raised by various referees and

Scientific paper

In this paper we give an interpretation of Tsallis' nonextensive statistical mechanics based upon the information-theoretic point of view of Luzzi et al. [cond-mat/0306217; cond-mat/0306247; cond-mat/0307325], suggesting Tsallis' entropy to be not a fundamental concept but rather a derived one, stemming from an incomplete knowledge of the system, not taking properly into account its interaction with the environment. This interpretation seems to avoid some problems occurring with the original interpretation of Tsallis statistics.

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