The Physical Basis of the Gibbs-von Neumann entropy
| dc.creator | Maroney, O. J. E. | |
| dc.date | 2007-01-17 | |
| dc.date | 2008-01-23 | |
| dc.date.accessioned | 2026-07-07T08:55:55Z | |
| dc.date.available | 2026-07-07T08:55:55Z | |
| dc.description | We develop the argument that the Gibbs-von Neumann entropy is the appropriate statistical mechanical generalisation of the thermodynamic entropy, for macroscopic and microscopic systems, whether in thermal equilibrium or not, as a consequence of Hamiltonian dynamics. The mathematical treatment utilises well known results [Gib02, Tol38, Weh78, Par89], but most importantly, incorporates a variety of arguments on the phenomenological properties of thermal states [Szi25, TQ63, HK65, GB91] and of statistical distributions[HG76, PW78, Len78]. This enables the identification of the canonical distribution as the unique representation of thermal states without approximation or presupposing the existence of an entropy function. The Gibbs-von Neumann entropy is then derived, from arguments based solely on the addition of probabilities to Hamiltonian dynamics. | |
| dc.description | 42 pages, no figures (3rd version substantial revision and simplification of central argument incorporating adiabatic availability and passive distributions) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0701127 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0701127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146432 | |
| dc.subject | Quantum Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | The Physical Basis of the Gibbs-von Neumann entropy | |
| dc.type | text |