Dynamics of Infinite Classical Anharmonic Crystals

@article{Butt2016DynamicsOI,
  title={Dynamics of Infinite Classical Anharmonic Crystals},
  author={Paolo Butt{\`a} and Carlo Marchioro},
  journal={Journal of Statistical Physics},
  year={2016},
  volume={164},
  pages={680-692}
}
We consider an unbounded lattice and at each point of this lattice an anharmonic oscillator, that interacts with its first neighborhoods via a pair potential V and is subjected to a restoring force of potential U. We assume that U and V are even nonnegative polynomials of degree $$2\sigma _1$$2σ1 and $$2\sigma _2$$2σ2. We study the time evolution of this system, with a control of the growth in time of the local energy, and we give a nontrivial bound on the velocity of propagation of a… 
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