Mixing in anharmonic potential well

Mixing in anharmonic potential well

We prove phase-space mixing for solutions to Liouville’s equation for integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution function with rate ⟨time⟩−1. In one dimension, we also study the case where this condition fails at a certain energy, sh...

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Veröffentlicht in:Journal of mathematical physics 2022-07, Vol.63 (7)
Hauptverfasser: Moreno, M., Rioseco, P., Van Den Bosch, H.
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Anharmonicity
Distribution functions
Physics
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Rioseco, P.
Van Den Bosch, H.
description We prove phase-space mixing for solutions to Liouville’s equation for integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution function with rate ⟨time⟩−1. In one dimension, we also study the case where this condition fails at a certain energy, showing that mixing still holds but with a slower rate. When the condition holds and functions have higher regularity, the rate can be faster.
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subjects Anharmonicity
Distribution functions
Physics
title Mixing in anharmonic potential well
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