Variational principle and phase space measure in non-canonical coordinates
Statistical Mechanics
2009-02-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0508193,
title = {Variational principle and phase space measure in non-canonical coordinates},
author = {Alessandro Sergi},
journal= {arXiv preprint arXiv:cond-mat/0508193},
year = {2009}
}