Tsallis distribution from minimally selected order statistics

Journal Article · Thu Dec 06 00:00:00 EST 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2828762· OSTI ID:21049435

Wilk, G ^[1]; Wlodarczyk, Z ^[2]

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1. Andrzej Soltan Institute for Nuclear Studies, Hoza 69, 00-681 Warsaw (Poland)
2. Institute of Physics, Swietokrzyska Academy, Swietokrzyska 15, 25-406 Kielce (Poland) and University of Arts and Sciences (WSU), Wesola 52, 25-353 Kielce (Poland)

We demonstrate that selection of the minimal value of ordered variables leads in a natural way to its distribution being given by the Tsallis distribution, the same as that resulting from Tsallis nonextensive statistics. The possible application of this result to the multiparticle production processes is indicated.

• OSTI ID: 21049435
• Journal Information: AIP Conference Proceedings, Vol. 965, Issue 1; Conference: International conference on complexity, metastability and nonextensivity, Catania (Italy), 1-5 Jul 2007; Other Information: DOI: 10.1063/1.2828762; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTRIBUTION
ENTROPY
MULTIPLE PRODUCTION
STATISTICAL MECHANICS
STATISTICS
THERMODYNAMICS