# 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…

## 2 Citations

Analytical approach to Lyapunov time: Universal scaling and thermalization.

- Physics, MedicinePhysical review. E
- 2021

An analytical approach is developed to derive the Lyapunov time, the reciprocal of the largest LyAPunov exponent, for general nonlinear lattices of coupled oscillators, which illustrates how the thermalization process is related to the intrinsic chaotic property.

Too Close to Integrable: Crossover from Normal to Anomalous Heat Diffusion.

- Medicine, PhysicsPhysical review letters
- 2020

A scaling analysis is developed that explains how energy transport in one-dimensional chains of particles with three conservation laws may happen in the vicinity of an integrable limit, such as, but not only, the famous Toda model.

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