JOSEPH A. BIELLO, PETER R. KRAMER, AND YURI V. LVOV

Department of Mathematical Sciences

Rensselaer Polytechnic Institute

301 Amos Eaton Hall

110 8th Street

Troy, NY 12180, USA

Abstract.The (alpha) version of the Fermi-Pasta-Ulam is revisited through direct numerical simulations and an application of weak turbulence theory. The energy spectrum, initialized with a large scale excitation, is traced through a series of distinct qualitative phasesen routeto eventual equipartition. Weak turbulence theory is applied in an attempt to provide an effective quantitative description of the evolution of the energy spectrum. Some scaling predictions are well-confirmed by the numerical simulations.

- Introduction
- Fermi-Pasta-Ulam Model
- Numerical Simulation of Relaxation from Initial Large-Scale Excitation
- Scaling Predictions

- Conclusion
- Acknowledgements
- Bibliography
- About this document ...