Mixing in an anharmonic potential well
| Autor: | Moreno, Matías, Rioseco, Paola, Bosch, Hanne Van Den |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/5.0091016 |
| Popis: | 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 $\langle \mathrm{time} \rangle^{-1}$. 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. Comment: 12 pages, 1 figure. v2:additional result in Theorem 1.3, typos corrected |
| Databáze: | arXiv |
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