
We show that starting with either the non-extensive Tsallis entropy in Wang's formalism or the extensive Renyi entropy, it is possible to construct the equilibrium statistical mechanics with non-Gibbs canonical distribution functions. The transformation formulas between Tsallis statistics and Renyi statistics are presented. The one-particle distribution function in Renyi statistics with extensive entropy for the classical ideal gas at finite particle number develops a power-law tail for high momenta.
14 pages, 2 figures, LaTeX
High Energy Physics - Phenomenology, Measures of information, entropy, High Energy Physics - Phenomenology (hep-ph), Research exposition (monographs, survey articles) pertaining to statistical mechanics, FOS: Physical sciences, Foundations of equilibrium statistical mechanics
High Energy Physics - Phenomenology, Measures of information, entropy, High Energy Physics - Phenomenology (hep-ph), Research exposition (monographs, survey articles) pertaining to statistical mechanics, FOS: Physical sciences, Foundations of equilibrium statistical mechanics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 42 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
