Entropy 2013, 15(10), 4319-4333; doi:10.3390/e15104319

The Phase Space Elementary Cell in Classical and Generalized Statistics

1 DISAT, Politecnico di Torino, C.so Duca degli Abruzzi 24, Torino I-10129, Italy 2 Istituto Nazionale di Fisica Nucleare, Sezione di Cagliari, Monserrato I-09042, Italy
* Author to whom correspondence should be addressed.
Received: 5 September 2013; in revised form: 25 September 2013 / Accepted: 27 September 2013 / Published: 15 October 2013
(This article belongs to the collection Advances in Applied Statistical Mechanics)
PDF Full-text Download PDF Full-Text [213 KB, uploaded 15 October 2013 16:08 CEST]
Abstract: In the past, the phase-space elementary cell of a non-quantized system was set equal to the third power of the Planck constant; in fact, it is not a necessary assumption. We discuss how the phase space volume, the number of states and the elementary-cell volume of a system of non-interacting N particles, changes when an interaction is switched on and the system becomes or evolves to a system of correlated non-Boltzmann particles and derives the appropriate expressions. Even if we assume that nowadays the volume of the elementary cell is equal to the cube of the Planck constant, h3, at least for quantum systems, we show that there is a correspondence between different values of h in the past, with important and, in principle, measurable cosmological and astrophysical consequences, and systems with an effective smaller (or even larger) phase-space volume described by non-extensive generalized statistics.
Keywords: classical statistical mechanics; thermodynamics

Article Statistics

Load and display the download statistics.

Citations to this Article

Cite This Article

MDPI and ACS Style

Quarati, P.; Lissia, M. The Phase Space Elementary Cell in Classical and Generalized Statistics. Entropy 2013, 15, 4319-4333.

AMA Style

Quarati P, Lissia M. The Phase Space Elementary Cell in Classical and Generalized Statistics. Entropy. 2013; 15(10):4319-4333.

Chicago/Turabian Style

Quarati, Piero; Lissia, Marcello. 2013. "The Phase Space Elementary Cell in Classical and Generalized Statistics." Entropy 15, no. 10: 4319-4333.

Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert