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title
MathPhysBlog
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Selected topics in Mathematical Physics
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MathPhysBlog
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2026-02-05 10:34:24
raw text
MathPhysBlog | Selected topics in Mathematical Physics MathPhysBlog Selected topics in Mathematical Physics The FPU problem – part 4 June 24, 2013 3. A solution to the FPU paradox The FPU report was the first article on a subject that inspired many reports and many books in the last 50 years. Altough the articles do not provide a unitary explanation of the problem, one of the most exploited notions used to solve the FPU “paradox” is the metastability. This notion, introduced in 1982-83, states that at small specific energy (at least) two separated time scales must be considered: case 1. in the short time scale, the system reaches a state different form the initial condition, when additional modes are excited, but the state is still far from energy equipartition. This is the state observed at low energy by Fermi; case 2. in the long time scale, which is actually much longer than the time needed to reach the metastable state, the system finally evolves towards energ...
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