Energy transfer in a fast-slow Hamiltonian system

Details Energy transfer in a fast-slow Hamiltonian system Energy transfer in a fast-slow Hamiltonian system

2010-10-19

arxiv.org/abs/1010.3972v2

Physics

Mathematical Physics

Scientific paper

We consider a finite region of a lattice of weakly interacting geodesic flows on manifolds of negative curvature and we show that, when rescaling the interactions and the time appropriately, the energies of the flows evolve according to a non linear diffusion equation. This is a first step toward the derivation of macroscopic equations from a Hamiltonian microscopic dynamics in the case of weakly coupled systems.

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