Published September 1, 2008
| Version v1
Journal article
Conservative force fields in non-Gaussian statistics
Creators
- 1. Universidade Federal do Rio Grande do Norte, Departamento de Fisica-PPGF, 59072-970 Natal, RN (Brazil)
- 2. Instituto de Astronomia, Geofisica e Ciencias Atmosfericas, USP, 05508-900 Sao Paulo, SP (Brazil)
- 3. Universidade do Estado do Rio Grande do Norte, Departamento de Fisica-PPGF, 59610-210 Mossoro, RN (Brazil)
Description
In this Letter, we determine the κ-distribution function for a gas in the presence of an external field of force described by a potential U(r). In the case of a dilute gas, we show that the κ-power law distribution including the potential energy factor term can rigorously be deduced in the framework of kinetic theory with basis on the Vlasov equation. Such a result is significant as a preliminary to the discussion on the role of long range interactions in the Kaniadakis thermostatistics and the underlying kinetic theory
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2008.07.029Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2008.07.029;
- arXiv
- arXiv:0807.3382v1;
- PII
- S0375-9601(08)01093-1;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 372
- Journal Issue
- 36
- Journal Page Range
- p. 5754-5757
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40046725
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOLTZMANN-VLASOV EQUATION; DISTRIBUTION; DISTRIBUTION FUNCTIONS; INTERACTION RANGE; POTENTIAL ENERGY; POTENTIALS; STATISTICS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; DISTANCE; ENERGY; EQUATIONS; FUNCTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.