https://doi.org/10.1140/epjb/e2005-00356-3
A non self-referential expression of Tsallis' probability distribution function
1
Department of Electrical and Electronic
Engineering,
Ibaraki University, Hitachi, Ibaraki, 316-8511, Japan
2
Istituto Nazionale di
Fisica della Materia (INFM) and Dipartimento di Fisica,
Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129
Torino, Italy
Corresponding authors: a wada@ee.ibaraki.ac.jp - b antonio.scarfone@polito.it
Received:
17
February
2005
Revised:
22
July
2005
Published online:
17
November
2005
The canonical probability distribution function (pdf) obtained by optimizing the Tsallis entropy under either the linear mean energy constraint U or the escort mean energy constraint Uq suffer self-referentiality. In a recent paper [Phys. Lett. A 335, 351 (2005)] the authors have shown that the pdfs obtained with either U or Uq are equivalent to the pdf in a non self-referential form. Based on this result we derive an alternative expression for the Tsallis distributions, employing either U or Uq, which is non self-referential.
PACS: 05.20.-y – Classical statistical mechanics / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005