170 citations · 3k across the 103 of their papers we have counts for
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Equilibrium and dynamical properties of two dimensional self-gravitating systems
Alessandro Torcini, Mickael Antoni
A system of N classical particles in a 2D periodic cell interacting via long-range attractive potential is studied. For low energy density a collapsed phase is identified, whil…
Lyapunov Exponents from Node-Counting Arguments
Antonio Politi, Alessandro Torcini, Stefano Lepri
A conjecture connecting Lyapunov exponents of coupled map lattices and the node theorem is presented. It is based on the analogy between the linear stability analysis of extended c…
Analytical Estimation of the Maximal lyapunov Exponent in Oscillator Chains
Thierry Dauxois, Stefano Ruffo, Alessandro Torcini
An analytical expression for the maximal Lyapunov exponent in generalized Fermi-Pasta-Ulam oscillator chains is obtained. The derivation is based on the calculation of modula…
Anomalous diffusion as a signature of collapsing phase in two dimensional self-gravitating systems
Mickael Antoni, Alessandro Torcini
A two dimensional self-gravitating Hamiltonian model made by fully-coupled classical particles exhibits a transition from a collapsing phase (CP) at low energy to a homogeneous…