A billiard model for a gas of particles with rotation

作者: David Cowan

DOI: 10.3934/DCDS.2008.22.101

关键词: Dynamical billiardsPoint (geometry)Motion (geometry)Rotation (mathematics)Classical mechanicsEuclidean domainPhysicsBasis (linear algebra)Ergodic theory

摘要: The hard sphere gas is a mathematical model in which several spherical particles collide elastically with each other a compact Euclidean domain. Using the fact that this system can be modeled as point billiard, its dynamical properties have been investigated extensively, with great deal of progress towards establishing central hypothesis, viz., is ergodic. Here we consider implications extending the to include non-spherical which have rotational well translational components of motion. We show billiard which forms basis investigations can extended case.

参考文章(2)
D.S. Broomhead, Eugene Gutkin, The dynamics of billiards with no-slip collisions Physica D: Nonlinear Phenomena. ,vol. 67, pp. 188- 197 ,(1993) , 10.1016/0167-2789(93)90205-F