The q-exponential family in statistical physics

• Authors: Jan Naudts
• Languages of publication: EN

Abstracts

EN

The notion of a generalized exponential family is considered in the restricted context of non-extensive statistical physics. Examples are given of models belonging to this family. In particular, the q-Gaussians are discussed and it is shown that the configurational probability distributions of the micro-canonical ensemble belong to the q-exponential family.

Keywords

EN

q-exponential family; deformed logarithm; variational principle; q-Gaussian; microcanonical ensemble

Discipline

• 05.20.-y: Classical statistical mechanics
• 05.20.Gg: Classical ensemble theory
• 05.70.Ce: Thermodynamic functions and equations of state(see also 51.30.+i Thermodynamic properties, equations of state in physics of gases; for equations of state of specific substances, see 64.30.-t; for equations of state of nuclear matter, and of neutron-star matter, see 21.65.Mn and 26.60.Kp, respectively; see also 95.30.Tg in astronomy; for thermodynamic properties of superconductors, see 74.25.Bt)
• 05.90.+m: Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 405-413

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Jan Naudts

• Departement Natuurkunde, Universiteit Antwerpen, Universiteitsplein 1, 2610, Antwerpen, Belgium

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Identifiers

DOI

10.2478/s11534-008-0150-x