Motion of three inelastic particles on a ring

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 6, 1996, Pages 6435-6449

  Grossman, Elizabeth ^a   Mungan, Muhittin ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041184280     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.6435     Document Type: Article

References (8)

1. P. Constantin, E. Grossman and M. Mungan, Physica D83, 409 (1995).
2. B. Bernu and R. Mazighi, J. Phys. A23, 5745 (1990).
3. S. MacNamara and W R. Young, Phys. Fluids A4, 496 (1992).
4. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett.70, 1619 (1993).
5. S. MacNamara and W R. Young, Phys. Rev. E50, R28 (1994).
6. E. Clement, S. Luding, A. Blumen, J. Rajchenbach and J. Duran, Int. J. Mod. Phys. B7, 1807 (1993).
7. This result was not written out in full in 1. Equation (4.9) in 1 and the discussion following it show that the maximum number of collisions changes whenever π/φ(r) is an integer, with φ(r) as in Eq. (4.8). Imposing π/φ(r)=n and solving for r using (3.7), Eq. (2.1) of this paper follows.
8. K. Falconer, Fractal Geometry (Wiley, Chichester, 1990).