Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation
- 10 September 2021
- journal article
- research article
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 73 (12), 125601
- https://doi.org/10.1088/1572-9494/ac256c
Abstract
Self-consistency in nonextensive statistical mechanics is studied as a recourse to parameter transformation, where different nonextensive parameters are presented for various theoretical branches. The unification between the first and third choices of the average definition and that between the normal and escort distributions are both examined. The problem of parameter inversion in the generalized H theorem is also investigated. The inconsistency between the statistical ensemble pressure and molecular dynamics pressure can be eliminated. This work also verifies the equivalence of physical temperature and gravitational temperature in nonextensive statistical mechanics. In these parameter transformations, the Tsallis entropy form is observed to remain invariant.Keywords
This publication has 41 references indexed in Scilit:
- Tsallis Relative Entropy and Anomalous DiffusionEntropy, 2012
- Self-similar motion for modeling anomalous diffusion and nonextensive statistical distributionsJournal of Statistical Mechanics: Theory and Experiment, 2010
- Generalized Spin-Glass RelaxationPhysical Review Letters, 2009
- Human Serum Albumin‐flavonoid Interactions Monitored by Means of Tryptophan KineticsAnnals of the New York Academy of Sciences, 2008
- Gibbsian Theory of Power-Law DistributionsPhysical Review Letters, 2008
- The nonextensive parameter and Tsallis distribution for self-gravitating systemsEurophysics Letters, 2004
- Dual description of nonextensive ensemblesChaos, Solitons, and Fractals, 2002
- Nonextensive Thermostatistics and theTheoremPhysical Review Letters, 2001
- A Dynamical Thermostatting Approach to Nonextensive Canonical EnsemblesAnnals of Physics, 1997
- Generalized statistical mechanics: connection with thermodynamicsJournal of Physics A: General Physics, 1991