Moreno, M;
Rioseco, P;
Van Den Bosch, H;
(2022)
Mixing in anharmonic potential well.
Journal of Mathematical Physics
, 63
(7)
, Article 071502. 10.1063/5.0091016.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Mixing in anharmonic potential well |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/5.0091016 |
| Publisher version: | http://dx.doi.org/10.1063/5.0091016 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10187704 |
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