Warning: Undefined array key "mm" in /www/wwwroot/www.ai-bt.com/si.php on line 10 Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /www/wwwroot/www.ai-bt.com/si.php on line 10 Interpretation of the nonextensivity parameter q in some applications of tsallis statistics and Levy distributions

Literature DB >> 11018939

Interpretation of the nonextensivity parameter q in some applications of tsallis statistics and Levy distributions

Abstract

The nonextensivity parameter q occurring in some of the applications of Tsallis statistics (known also as index of the corresponding Levy distribution) is shown to be given, in the q>1 case, entirely by the fluctuations of the parameters of the usual exponential distribution.

Year: 2000 PMID： 11018939 DOI： 10.1103/PhysRevLett.84.2770

Source DB: PubMed Journal: Phys Rev Lett ISSN： 0031-9007 Impact factor: 9.161

Keyword Cloud
Cited

12 in total

1. Heterogeneity explains features of "anomalous" thermodynamics and statistics.

Authors: Stefan Gheorghiu; Marc-Olivier Coppens
Journal: Proc Natl Acad Sci U S A Date: 2004-10-28 Impact factor: 11.205

2. The superstatistical nature and interoccurrence time of atmospheric mercury concentration fluctuations.

Authors: F Carbone; A G Bruno; A Naccarato; F De Simone; C N Gencarelli; F Sprovieri; I M Hedgecock; M S Landis; H Skov; K A Pfaffhuber; K A Read; L Martin; H Angot; A Dommergue; O Magand; N Pirrone
Journal: J Geophys Res Atmos Date: 2018-01-27 Impact factor: 4.261

3. Fluctuating noise drives Brownian transport.

Authors: Yoshihiko Hasegawa; Masanori Arita
Journal: J R Soc Interface Date: 2012-09-12 Impact factor: 4.118

4. Interpretation of intramolecular stacking effect on the fluorescence intensity decay of 3-methylbenzimidazolyl(5'-5')guanosine dinucleotides using a model of lifetime distribution.

Authors: Borys Kierdaszuk; Jakub Włodarczyk
Journal: Eur Biophys J Date: 2006-03-03 Impact factor: 1.733

10. Superstatistics of Schrödinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields.

Authors: A N Ikot; U S Okorie; G Osobonye; P O Amadi; C O Edet; M J Sithole; G J Rampho; R Sever
Journal: Heliyon Date: 2020-04-08

Interpretation of the nonextensivity parameter q in some applications of tsallis statistics and Levy distributions

1. Heterogeneity explains features of "anomalous" thermodynamics and statistics.

2. The superstatistical nature and interoccurrence time of atmospheric mercury concentration fluctuations.

3. Fluctuating noise drives Brownian transport.

4. Interpretation of intramolecular stacking effect on the fluorescence intensity decay of 3-methylbenzimidazolyl(5'-5')guanosine dinucleotides using a model of lifetime distribution.

5. Interpretation of fluorescence decays using a power-like model.

6. Fingerprints of nonequilibrium stationary distributions in dispersion relations.

Review 7. Beyond Boltzmann-Gibbs-Shannon in Physics and Elsewhere.

8. On Quantum Superstatistics and the Critical Behavior of Nonextensive Ideal Bose Gases.

9. Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices.

10. Superstatistics of Schrödinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields.