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Stages of Energy Transfer in the FPU Model

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abstract

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.

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math-ph 1

years

2026 1

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UNVERDICTED 1

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A review on the kinetic theory of oscillator chains

math-ph · 2026-05-31 · unverdicted · novelty 1.0

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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  • A review on the kinetic theory of oscillator chains math-ph · 2026-05-31 · unverdicted · none · ref 2 · internal anchor

    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.