Work

Generalized Non-extensive Statistical Distributions

Year: 2005

Type: preprint

Abstract: We find the value of constants related to constraints in characterization of some known statistical distributions and then we proceed to use the idea behind maximum entropy principle to derive generalized version of this distributions using the Tsallis' and Renyi information measures instead of the well-known Bolztmann-Gibbs-Shannon. These generalized distributions will depend on q (real number) and in the limit (q=1) we obtain the "classical" ones. We found that apart from a constant, generalized versions of statistical distributions following Tsallis' or Renyi are undistinguishable.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.cond-mat/0505525

Authors: Sotolongo-Costa, Oscar, Gonzalez, Alejandro Gonzalez, Brouers, Francois

Institutions: University of Havana, University of Information Science, University of Liège

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2168871614

Cites: 7

Cited by:

Related to: 20