16 citations · 29 across the 2 of their papers we have counts for
3 papers
cond-mat.stat-mech2005★ 13 cited
On the Geometry and Entropy of Non-Hamiltonian Phase Space
Alessandro Sergi, Paolo V. Giaquinta
We analyze the equilibrium statistical mechanics of canonical, non-canonical and non-Hamiltonian equations of motion by throwing light into the peculiar geometric structure of phas…
cond-mat.stat-mech2005
Variational principle and phase space measure in non-canonical coordinates
Alessandro Sergi
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 ent…
cond-mat.stat-mech2005★ 16 cited
Phase space flows for non-Hamiltonian systems with constraints
Alessandro Sergi
In this paper, non-Hamiltonian systems with holonomic constraints are treated by a generalization of Dirac's formalism. Non-Hamiltonian phase space flows can be described by genera…