IFLP 13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Analysis of Tsallis' classical partition function's poles
Autor/es:
A. PLASTINO; M. C. ROCCA
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2017 vol. 487 p. 196 - 204
ISSN:
0378-4371
Resumen:
When one integrates the q-exponential function of Tsallis´ so as to get the partition function $Z$, a gamma function inevitably emerges. Consequently, poles arise. We investigate here here the thermodynamic significance of these poles in the case of $n$ classical harmonic oscillators (HO). Given that this is an exceedingly well known system, any new feature that may arise can safely be attributed to the poles´ effect. We appeal to the mathematical tools used in [EPJB 89, 150 (2016) and ArXiv:1702.03535 (2017)], and obtain both bound and unbound states. In the first case, we are then faced with a classical Einstein crystal.We also detect what might be interpreted as pseudo gravitational effects.
