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- Marco Pettini
- 2007

Springer 1 Introduction This book reports on an unconventional explanation of the origin of chaos in Hamiltonian dynamics and on a new theory of the origin of thermodynamic phase transitions. Theâ€¦ (More)

- 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)

- Luca Angelani, Lapo Casetti, Marco Pettini, Giancarlo Ruocco, Francesco Zamponi
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

The elsewhere surmized topological origin of phase transitions is given here important evidence through the analytic study of an exactly solvable model for which both topology of submanifolds ofâ€¦ (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)

- Jordane Preto, E. Floriani, Ilaria Nardecchia, Pierre Ferrier, Marco Pettini
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

Highly specific spatiotemporal interactions between cognate molecular partners essentially sustain all biochemical transactions in living matter. That such an exquisite level of accuracy may resultâ€¦ (More)

- Lapo Casetti, Ezechiel G. D. Cohen, Marco Pettini
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We study analytically the topology of a family of submanifolds of the configuration space of the mean-field XY model, computing also a topological invariant (the Euler characteristic). We prove thatâ€¦ (More)

We prove a theorem that establishes a necessary topological condition for the occurrence of first or second order phase transitions; in order for these to occur, the topology of certain submanifoldsâ€¦ (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)

- Marco Pettini, Riccardo Valdettaro
- Chaos
- 1995

In this work we investigate Hamiltonian chaos using elementary Riemannian geometry. This is possible because the trajectories of a standard Hamiltonian system (i.e., having a quadratic kinetic energyâ€¦ (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)