Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial

A. PLASTINO; M. C. ROCCA

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2018 vol. 490 p. 50 - 58

0378-4371

It ts known that Tsallis´ q-non-additivity entails hiddencorrelations. It has also been shown that even for a monoatomic gas,both the q-partition function $Z$ and the mean energy $$diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter $q$. This happens because $Z$ and $$ both depend on a $Gamma$-function. This $Gamma$, in turn, depends upon the spatialdimension $u$. We encounter three different regimesaccording to the argument $A$ of the $Gamma$-function.(1) $A>0$, (2) $A0$ 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.