24 citations · 86 across the 16 of their papers we have counts for
8 papers · 1 filter
Topological Theory of Phase Transitions
Matteo Gori, Roberto Franzosi, Giulio Pettini +1
The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the Riemannian geometrization of Hamiltonian dynamics, has led to a preliminary formu…
Fast collective oscillations and clustering phenomena in an antiferromagnetic mean-field model
Arthur Vesperini, Roberto Franzosi, Stefano Ruffo +2
We study the out-of-equilibrium properties of the antiferromagnetic Hamiltonian Mean-Field model at low energy. In this regime, the Hamiltonian dynamics exhibits the presence of a…
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…
A microcanonical entropy correcting finite-size effects in small systems
Roberto Franzosi
In a recent paper [Franzosi, Physica A {\bf 494}, 302 (2018)], we have suggested to use of the surface entropy, namely the logarithm of the area of a hypersurface of constant energ…
Microcanonical entropy for classical systems
Roberto Franzosi
The entropy definition in the microcanonical ensemble is revisited. We propose a novel definition for the microcanonical entropy that resolve the debate on the correct definition o…
On the origin of Phase Transitions in the absence of Symmetry-Breaking
Giulio Pettini, Matteo Gori, Roberto Franzosi +2
In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimension. Our model Hamiltonian is defined on the basis of a continuum version of a…