Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102428 | Physica A: Statistical Mechanics and its Applications | 2018 | 18 Pages |
Abstract
It ts known that Tsallis' q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy ãUã diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter q. This happens because Z and ãUã both depend on a Î-function. This Î, in turn, depends upon the spatial dimension ν. We encounter three different regimes according to the argument A of the Î-function. (1) A>0, (2) A<0 and Î>0 outside the poles. (3) A displays poles and the physics is obtained via dimensional regularization. In cases (2) and (3) one discovers gravitational effects and quartets of particles. Moreover, bound states and gravitational effects emerge as a consequence of the hidden q-correlations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A. Plastino, M.C. Rocca,