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- Roberto Franzosi, Marco Pettini
- Physical review letters
- 2004

For physical systems described by smooth, finite-range, and confining microscopic interaction potentials V with continuously varying coordinates, we announce and outline the proof of a theorem thatâ€¦ (More)

- Roberto Franzosi, Vittorio Penna
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

The dynamics of the three coupled bosonic wells (trimer) containing N bosons is investigated within a standard (mean-field) semiclassical picture based on the coherent-state method. Various periodicâ€¦ (More)

In this second paper, we prove another necessity Theorem about the topological origin of phase transitions. The Main Theorem of the present paper is proved by crucially resorting to the Main Theoremâ€¦ (More)

- Roberto Livi, Roberto Franzosi, Gian-Luca Oppo
- Physical review letters
- 2006

We introduce a technique to obtain localization of Bose-Einstein condensates in optical lattices via boundary dissipations. Stationary and traveling localized states are generated by removing atomsâ€¦ (More)

- Roberto Franzosi, Lapo Casetti, Lionel Spinelli, Marco Pettini
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

Certain geometric properties of submanifolds of configuration space are numerically investigated for classical phi(4) models in one and two dimensions. Peculiar behaviors of the computed geometricâ€¦ (More)

The structure of the spacetime geometry in (2+1) gravity is described by means of a foliation in which the space-like surfaces admit a tessellation made of polygons. The dynamics of the system isâ€¦ (More)

- Irene Donato, Matteo Gori, +4 authors Francesco Vaccarino
- Physical review. E
- 2016

Persistent homology analysis, a recently developed computational method in algebraic topology, is applied to the study of the phase transitions undergone by the so-called mean-field XY model and byâ€¦ (More)

We briefly review some of the most relevant results that our group obtained in the past, while investigating the dynamics of the Fermi-Pasta-Ulam (FPU) models. The first result is the numericalâ€¦ (More)

- Pierfrancesco Buonsante, Roberto Franzosi, Augusto Smerzi
- Physical review. E
- 2017

The notion of negative absolute temperature emerges naturally from Boltzmann's definition of "surface" microcanonical entropy in isolated systems with a bounded energy density. Recently, theâ€¦ (More)

- Roberto Franzosi, Domenico De Felice, Stefano Mancini, Marco Pettini
- Physical review. E
- 2016

A central issue in the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry. Actually weâ€¦ (More)