Recommended Outline of the Paper

1. Introduction: Describe the experiment and why it was important.
2. Linear Problem: Explain how you solved the problem. Include figures showing the displacements in a few low modes.
3. Nonlinear Problem: Explain the numerical methods you used to solve the problem. Give your version of FPU Figure 1, taking it to a time of 36,000 instead of stopping at about $12,000$ as they did.
4. Conclusions: Discuss what your results say about thermalization in complex systems.
5. References: List sources.