Nonlinear normal modes and quanta in the β Fermi-Pasta-Ulam lattice
Abstract
We enumerate simple periodic orbits for the well-known Fermi-Pasta-Ulam (FPU) problem. Using these solutions as simple modes for the problem, we construct quantum solutions of the corresponding problem. These studies present a natural generalization of the concept of phonon in the nonlinear realm.
- Publication:
-
European Physical Journal Special Topics
- Pub Date:
- July 2013
- DOI:
- 10.1140/epjst/e2013-01865-4
- Bibcode:
- 2013EPJST.222..601S