Nonintegrability and thermalization of one-dimensional diatomic lattices.

@article{Fu2019NonintegrabilityAT,
  title={Nonintegrability and thermalization of one-dimensional diatomic lattices.},
  author={Weicheng Fu and Yong Zhang and Hong Zhao},
  journal={Physical review. E},
  year={2019},
  volume={100 5-1},
  pages={
          052102
        }
}
Nonintegrability is a necessary condition for the thermalization of a generic Hamiltonian system. In practice, the integrability can be broken in various ways. As illustrating examples, we numerically studied the thermalization behaviors of two types of one-dimensional (1D) diatomic chains in the thermodynamic limit. One chain was the diatomic Toda chain whose nonintegrability was introduced by unequal masses. The other chain was the diatomic Fermi-Pasta-Ulam-Tsingou-β chain whose… 

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