Three rods on a ring and the triangular billiard

Journal of Statistical Physics

Volumn 87, Issue 3-4, 1997, Pages 937-941

  Glashow, Sheldon Lee ^a   Mittag, Laurence ^b  

^a HARVARD UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Billiards; Hard rods; Impact phenomena; Tonks gas

Indexed keywords

EID: 0040515167     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02181254     Document Type: Article

References (12)

1. L. Onsager, Unpublished lectures, Yale University (1956); Ya. G. Sinai, Introduction to Ergodic Theory (Princeton University Press, Princeton, New Jersey, 1976).
2. L. Onsager, Unpublished lectures, Yale University (1956); Ya. G. Sinai, Introduction to Ergodic Theory (Princeton University Press, Princeton, New Jersey, 1976).
3. S. Tabachnikov, Billiards: Panoramas and syntheses, Soc. Math. France (1995).
4. E. Gutkin, Billiards in polygons: Survey of recent results, J. Stat. Phys. 81:7 (1996).
5. G. Galperin, T. Krüger, and S. Troubetskoy, Local instability of orbits in polygonal and polyhedral billiards, Commun. Math. Phys. 169:463 (1995).
6. S. L. Glashow and L. Mittag, The Physics of Billiards, in preparation.
7. H. Masur, Closed trajectories for quadratic differentials with an application to billiards, Duke Math. J. 53:307 (1986); M. Boshernitzan, G. Galperin, T. Krüger, and S. Troubetskoy, Periodic billiard orbits are dense in rational polygons, preprint (1996).
8. H. Masur, Closed trajectories for quadratic differentials with an application to billiards, Duke Math. J. 53:307 (1986); M. Boshernitzan, G. Galperin, T. Krüger, and S. Troubetskoy, Periodic billiard orbits are dense in rational polygons, preprint (1996).
9. S. Kerckhoff, H. Masur, and J. Smillie, Ergodicity of billiard flows and quadratic differentials, Ann. Math. 124:293 (1986).
10. C. Boldrighini, M. Keane, and F. Marchetti, Billiards in polygons, Ann. Prob. 6:532 (1978).
11. L. Tonks, The complete equation of state of one, two, and three dimensional gases of hard spheres, Phys. Ret. 50: 955 (1936); see also D. W. Jepson, Dynamics of a simple many-body system of hard rods, J. Math. Phys. 6:405 (1965).
12. L. Tonks, The complete equation of state of one, two, and three dimensional gases of hard spheres, Phys. Ret. 50: 955 (1936); see also D. W. Jepson, Dynamics of a simple many-body system of hard rods, J. Math. Phys. 6:405 (1965).