Sergi, Alessandro (2005) On the Geometry of Non-Hamiltonian Phase Space. Journal of Chemical Physics. (Submitted)
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.
|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|
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