Towards information theory for q-nonextensive statistics without q-deformed distributions

Details Towards information theory for q-nonextensive statistics without q-deformed distributions Towards information theory for q-nonextensive statistics without q-deformed distributions

2005-10-04

arxiv.org/abs/cond-mat/0510092v2

Physica A365:76-84,2006

Physics

Condensed Matter

Statistical Mechanics

Presented at Next2005, uses Elsevier LaTeX macros, revised version with minor changes, accepted to Physica A

Scientific paper

10.1016/j.physa.2006.01.038

In this paper we extend our recent results [Physica A340 (2004)110] on q-nonextensive statistics with non-Tsallis entropies. In particular, we combine an axiomatics of Renyi with the q-deformed version of Khinchin axioms to obtain the entropy which accounts both for systems with embedded self-similarity and q-nonextensivity. We find that this entropy can be uniquely solved in terms of a one-parameter family of information measures. The corresponding entropy maximizer is expressible via a special function known under the name of the Lambert W-function. We analyze the corresponding "high" and "low-temperature" asymptotics and make some remarks on the possible applications.

Affiliated with

Also associated with

No associations

Rating

Towards information theory for q-nonextensive statistics without q-deformed distributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Towards information theory for q-nonextensive statistics without q-deformed distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards information theory for q-nonextensive statistics without q-deformed distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84164