Temperature-Fermion Number Correlations in Finite Paired Systems

We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific N dependent effects that can not be attained in the thermodynamics limit of ordinary supe...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Monteoliva, Diana, Plastino, Ángel Ricardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/119198
Aporte de:
Descripción
Sumario:We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific N dependent effects that can not be attained in the thermodynamics limit of ordinary superconductivity. In particular, an important fact is uncovered: there is a strong correlation between the temperature T and the number of fermions N. A certain temperature increase DT produces, in thermal quantifiers (such as the entropy), quite different effects if N = 4 or N = 25. In fact, whether a given temperature value should be regarded as high or low can not be ascertained independent of the N value.