Sergi, Alessandro (2005) On the Geometry of Non-Hamiltonian Phase Space. Journal of Chemical Physics. (Submitted)
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Abstract
In this paper the statistical mechanics of canonical,
non-canonical and non-Hamiltonian systems is analyzed rigorously
by throwing light onto the peculiar geometric structure of phase
space. Misleading points, regarding generalized brackets and
Jacobi relations, are clarified. The accessory role of phase space
compressibility in the statistical mechanics of non-canonical and
non-Hamiltonian systems is also unveiled. A rigorous definition of
the (relative) entropy for continuous probability distributions is
adopted and used in order to introduce maximum entropy principles
for non-canonical and non-Hamiltonian systems. Although the
attention is concentrated on the geometry of phase space under
equilibrium thermodynamic conditions, the results and the points of view
presented lay the foundations for a maximum entropy approach to
non-Hamiltonian dissipative systems.
| Item Type: | Other |
|---|---|
| Subjects: | M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche M.U.S. - Contributi Scientifici > 02 - Scienze fisiche |
| Depositing User: | Dr Alessandro Sergi |
| Date Deposited: | 23 Nov 2005 |
| Last Modified: | 13 Apr 2010 11:19 |
| URI: | http://cab.unime.it/mus/id/eprint/350 |
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