Asymptotic behaviour for critical slowing-down random walks

Journal of Statistical Physics

Volumn 101, Issue 1-2, 2000, Pages 397-404

  Elskens, Yves ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Granular solids; Kinetic theory

Indexed keywords

EID: 0034288243     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1026426524818     Document Type: Article

References (7)

1. L. Brenig and J. M. Salazar, Exact results for the homogeneous cooling state of an inelastic hard-sphere gas, J. Plasma Phys. 59:639-646 (1998).
2. Y. Elskens, Comment on the paper Inelastic Granular Gas: Computer Simulations and Kinetic Theory of the Cooling State by J. M. Salazar and L. Brenig, preprint TP99.14, cond-mat/9911276.
3. M. H. Ernst, Comment II on J. M. Salazar and L. Brenig's contribution Inelastic Granular Gas: Computer Simulations and Kinetic Theory at the Cooling State, cond-mat/9911436.
4. R. Lambiotte, private communication.
5. Ph. A. Martin and J. Piasecki, Lorentz's model with dissipative collisions, Physica A 265:19-27 (1999).
6. J. M. Salazar and L. Brenig, Inelastic granular gas: Computer simulations and kinetic theory of the cooling state. Phys. Rev. E 59:2093-2104 (1999).
7. This is clear for initial measures ∫ with compact support in ]0, ∞[ (bounded away from the origin), such as the Dirac distribution. Asymptotics with ∫(0, 0) > 0 or with ∫(w, 0) decaying too slowly for w → ∞ may be slower.