Lieb-Robinson bounds for classical anharmonic lattice systems

Details Lieb-Robinson bounds for classical anharmonic lattice systems Lieb-Robinson bounds for classical anharmonic lattice systems

2009-01-30

arxiv.org/abs/0902.0025v1

J. Stat. Phys. 137 , 79-108 (2009)

Physics

Mathematical Physics

Scientific paper

We prove locality estimates, in the form of Lieb-Robinson bounds, for classical oscillator systems defined on a lattice. Our results hold for the harmonic system and a variety of anharmonic perturbations with long range interactions. The anharmonic estimates are applicable to a special class of observables, the Weyl functions, and the bounds which follow are not only independent of the volume but also the initial condition.

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