The development of truncated inviscid turbulence and the Fermi-Pasta-Ulam problem.

@article{Ooms2008TheDO,
  title={The development of truncated inviscid turbulence and the Fermi-Pasta-Ulam problem.},
  author={Gijs Ooms and Bendiks Jan Boersma},
  journal={Chaos},
  year={2008},
  volume={18 4},
  pages={
          043124
        }
}
A study was made of the possible similarity between the development of truncated, inviscid turbulence and the Fermi-Pasta-Ulam (FPU) problem. For the case of a constant time scale, which resembles the FPU problem, a significant increase in the time to achieve equipartition was found when the initial energy was decreased. At first a few modes were generated and only rather late in the spectral development other modes appear and equipartition was established. 
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The development of truncated inviscid turbulence and the FPU-problem
As is well known Fermi, Pasta and Ulam [1] studied the energy redistribution between the linear modes of a one-dimensional chain of particles connected via weakly nonlinear springs. To their surprise…

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