Messanae Universitas Studiorum

Indefinite metric of R. Mrugala and the geometry of thermodynamical phase space

Preston, Serge and Vargo, James (2005) Indefinite metric of R. Mrugala and the geometry of thermodynamical phase space. In: Thermal theories of continua: survey and developments, September 25-30, 2005, Messina, Italy.

[img]
Preview
PDF
C1S0801019.pdf

Download (197kB)

Abstract

We study an indefinite metric G which was introduced by R. Mrugala and is defined on the contact phase space (P,?) of a homogeneous thermodynamical system. We describe the curvature properties and the isometry group of the metric G. We established an isomorphism of the space (P,?,G) with the Heisenberg Lie group Hn, endowed with the right invariant contact structure and the right invariant indefinite metric. The lift of the metric G to the symplectization of contact space (P,?) and its properties are studied. Finally we introduce the "hyperbolic projectivization" of the space () that can be considered as the natural compactification of the thermodynamical phase space (P, q, G).

Item Type: Conference or Workshop Item (Paper)
Subjects: M.U.S. - Contributi Scientifici > 02 - Scienze fisiche
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 07 Aug 2008
Last Modified: 13 Apr 2010 11:15
URI: http://cab.unime.it/mus/id/eprint/503

Actions (login required)

View Item View Item