Variational principle and phase space measure in non-canonical coordinates

Details Variational principle and phase space measure in non-canonical coordinates Variational principle and phase space measure in non-canonical coordinates

2005-08-08

arxiv.org/abs/cond-mat/0508193v1

A. Sergi, Atti della Accademia Peloritana dei Pericolanti Classe di Scienze Fisiche, Matematiche e Naturali 83 C1A0501003 (200

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1478/C1A0501003

Non-canonical equations of motion are derived from a variational principle
written in symplectic form. The invariant measure of phase space and the
covariant expression for the entropy are derived from non-canonical
transformations of coordinates. This shows that the geometry of non-canonical
phase space is non trivial even if dynamics has no compressibility.

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