Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble

Alonso, J.L. (Universidad de Zaragoza) ; Castro, A. (Universidad de Zaragoza) ; Clemente-Gallardo, J. (Universidad de Zaragoza) ; Cuchí, J.C. ; Echenique, P. ; Esteve, J.G. (Universidad de Zaragoza) ; Falceto, F. (Universidad de Zaragoza)

Resumen: Schr¨odinger suggested that thermodynamical functions cannot be based on the gratuitous allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the Hamiltonian operator) are the only allowed states for a quantum system [E. Schr¨odinger, Statistical Thermodynamics (Courier Dover, Mineola, 1967)]. Different authors have interpreted this statement by introducing density distributions on the space of quantum pure states with weights obtained as functions of the expectation value of the Hamiltonian of the system. In this work we focus on one of the best known of these distributions and prove that, when considered in composite quantum systems, it defines partition functions that do not factorize as products of partition functions of the noninteracting subsystems, even in the thermodynamical regime. This implies that it is not possible to define extensive thermodynamical magnitudes such as the free energy, the internal energy, or the thermodynamic entropy by using these models. Therefore, we conclude that this distribution inspired by Schr¨odinger’s idea cannot be used to construct an appropriate quantum equilibrium thermodynamics.

Idioma: Inglés

DOI: 10.1103/PhysRevE.91.022137

Año: 2015

Publicado en: Physical Review E 91, 2 (2015), 022137 [13 pp.]
ISSN: 2470-0045

Factor impacto JCR: 2.252 (2015)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 6 / 53 = 0.113 (2015) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 10 / 30 = 0.333 (2015) - Q2 - T2

Factor impacto SCIMAGO: 1.183 - Condensed Matter Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Statistics and Probability (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-3
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2013-46159-C3-2
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453
Financiación: info:eu-repo/grantAgreement/ES/UZ/UZ2012-CIE-06

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)