254 citations · 1.8k across the 56 of their papers we have counts for
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Geometric approach to chaos in the classical dynamics of abelian lattice gauge theory
Lapo Casetti, Raoul Gatto, Marco Pettini
A Riemannian geometrization of dynamics is used to study chaoticity in the classical Hamiltonian dynamics of a U(1) lattice gauge theory. This approach allows one to obtain analyti…
Topological aspects of geometrical signatures of phase transitions
Roberto Franzosi, Lapo Casetti, Lionel Spinelli +1
Certain geometric properties of submanifolds of configuration space are numerically investigated for classical lattice phi^4 models in one and two dimensions. Peculiar behaviors of…
Topological origin of the phase transition in a mean-field model
Lapo Casetti, E. G. D. Cohen, Marco Pettini
We argue that the phase transition in the mean-field XY model is related to a particular change in the topology of its configuration space. The nature of this topological transitio…
Hamiltonian dynamics of the two-dimensional lattice phi^4 model
Lando Caiani, Lapo Casetti, Marco Pettini
The Hamiltonian dynamics of the classical model on a two-dimensional square lattice is investigated by means of numerical simulations. The macroscopic observables are compute…