Abstract
Consider the motion of a gas of point particles in a periodic array of spherical obstacles. Collisions involving two or more particles are neglected; only the collisions between the particles and the obstacles are taken into account. This talk reviews some results bearing on the distribution of free-path lengths for these particles, more precisely (1) upper and lower bounds for that distribution in any space dimension, and (2) the asymptotic evaluation of the tail of that distribution in the small obstacle limit, in space dimension two. Applications to kinetic theory are discussed.
| Original language | English |
|---|---|
| Title of host publication | XIVth International Congress on Mathematical Physics |
| Subtitle of host publication | Lisbon, 28 July - 2 August 2003 |
| Publisher | World Scientific Publishing Co. |
| Pages | 439-446 |
| Number of pages | 8 |
| ISBN (Electronic) | 9789812704016 |
| ISBN (Print) | 981256201X, 9789812562012 |
| DOIs | |
| Publication status | Published - 1 Jan 2006 |
| Externally published | Yes |