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cond-mat.stat-mech2022★ 3 cited
Configurational microcanonical statistical mechanics from Riemannian geometry of equipotenital level sets
Matteo Gori
In the present work, we present a detailed discussion of a Riemannian metric structure originally introduced in [Gori et al., \textit{J. Stat. Mech.}, \textbf{9} 093204 (2018)] on…
cond-mat.stat-mech2020
Geometrical aspects in the analysis of microcanonical phase-transitions
Ghofrane Bel-Hadj-Aissa, Matteo Gori, Vittorio Penna +2
In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantitie…
cond-mat.stat-mech2019
Coherent Riemannian-geometric description of Hamiltonian order and chaos with Jacobi metric
Loris Di Cairano, Matteo Gori, Marco Pettini
By identifying Hamiltonian flows with geodesic flows of suitably chosen Riemannian manifolds, it is possible to explain the origin of chaos in classical Newtonian dynamics and to q…