Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems
By N. Simányi. 2000
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We consider the system of N (≥2) hard disks of masses m1,...,mN and radius r in the flat unit torus 𝕋2. We prove the ergodicity (actually, the B-mixing property) of such systems for almost every selection (m1,...,mN;r) of the outer geometric parameters.
Subfields: Applied Mathematics, Condensed Matter Physics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ec8f99404fda2686be854b744e2c37b6a94b800e
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In Applied Mathematics
In Condensed Matter Physics
In Mathematical Physics
Citations in the corpus
- Geometry and billiards (2005, background): “of disks of any masses in dimension two; see [97, 98, 99].”