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Relaxation of classical many-body hamiltonians in one dimension
Stefano Lepri
The relaxation of Fourier modes of hamiltonian chains close to equilibrium is studied in the framework of a simple mode-coupling theory. Explicit estimates of the dependence of rel…
Mean field theory of critical coupled map lattices
Stefano Lepri, Wolfram Just
We study the single-site approximation of the Perron-Frobenius equation for a coupled map lattice exhibiting a phase transition at a critical value g_c of the coupling constant. We…
On the anomalous thermal conductivity of one-dimensional lattices
Stefano Lepri, Roberto Livi, Antonio Politi
The divergence of the thermal conductivity in the thermodynamic limit is thoroughly investigated. The divergence law is consistently determined with two different numerical approac…
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…