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Stages of Energy Transfer in the FPU Model
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The Alpha version of the Fermi-Pasta-Ulam problem 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 phases en route to eventual equipartition. Weak turbulence theory is applied in an attempt to provide and effective quantitative description of the evolution of the energy spectrum. Some scaling predictions are well-confirmed byt the numerical simulations.
Forward citations
Cited by 2 Pith papers
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Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System
For a reduced beta-FPUT model, the wave kinetic equation is rigorously derived under the scaling beta=N^{-gamma} up to times of order N^{-epsilon} min(N, N^{5gamma/4}).
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A review on the kinetic theory of oscillator chains
Review summarizing kinetic theory for oscillator chains including wave kinetic equations, hydrodynamic limits, mathematical state of the art, and connections to the FPU paradox and Fourier's law.
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