Mixing in anharmonic potential well
| Autor: | M. Moreno, P. Rioseco, H. Van Den Bosch |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Mathematical Physics. 63:071502 |
| ISSN: | 1089-7658 0022-2488 |
| 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: | OpenAIRE |
| Externí odkaz: |
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