67 citations · 228 across the 17 of their papers we have counts for
9 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…
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…
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…
Toward a refining of the topological theory of phase transitions
Matteo Gori, Roberto Franzosi, Marco Pettini
The topological theory of phase transitions was proposed on the basis of different arguments, the most important of which are: a direct evidence of the relation between topology an…
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Marco Pettini
This submission has been withdrawn by arXiv administrators because it is incomplete and thus violates arXiv policy.
Hamiltonian dynamics of homopolymer chain models
Alessandro Mossa, Marco Pettini, Cecilia Clementi
The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to repr…