Knudsen's law and random billiards in irrational triangles
Abstract
We prove Knudsen's law for a gas of particles bouncing freely in a two dimensional pipeline with serrated walls consisting of irrational triangles. Dynamics are randomly perturbed and the corresponding random map studied under a skew-type deterministic representation which is shown to be ergodic and exact.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2010
- DOI:
- arXiv:
- arXiv:1006.4831
- Bibcode:
- 2010arXiv1006.4831L
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematical Physics
- E-Print:
- 21 pages, 5 figures