Exact solution of a one-dimensional Boltzmann equation for a granular tracer particle

Physica A: Statistical Mechanics and its Applications

Volumn 373, Issue , 2007, Pages 313-323

  Piasecki, J ^a   Talbot, J ^b   Viot, P ^c  

^a UNIVERSITY OF WARSAW   (Poland)

^b DUQUESNE UNIVERSITY   (United States)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

Boltzmann equation; Granular gas; Green Kubo relation

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; ELASTICITY; GRANULAR MATERIALS; NUMERICAL ANALYSIS;

BOLTZMANN EQUATION; GRANULAR GASES; GREEN-KUBO RELATION;

MATHEMATICAL PROGRAMMING;

EID: 33750445253     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.04.059     Document Type: Article

References (16)

1. Martin P.A., and Piasecki J. Thermalization of a particle by dissipative collision. Europhys. Lett. 46 (1999) 613
2. Barrat A., and Trizac E. Lack of energy equipartition in homogeneous heated binary granular mixtures. Granular Matter 4 (2002) 57
3. Qiang Wang H., Jun Jin G., and Qiang Ma Y. Simulation study on kinetic temperatures of vibrated binary granular mixtures. Phys. Rev. E 68 (2003) 031301
4. Feitosa K., and Menon N. Breakdown of energy equipartition in a 2d binary vibrated granular gas. Phys. Rev. Lett. 88 (2002) 198301
5. Wildman R.D., and Parker D.J. Coexistence of two granular temperatures in binary vibrofluidized beds. Phys. Rev. Lett. 88 (2002) 064301
6. Krouskop P., and Talbot J. Mass and size effects in three-dimensional vibrofluidized granular mixture. Phys. Rev. E 68 (2003) 021304
7. Résibois P. Solution de l'équation de boltzmann pour des bâtonnets durs unidimensionnels. Physica A 90A (1978) 273
8. Note that for a one-dimensional dilute gas, the particle size is irrelevant.
9. Ben-Naim E., and Krapivski P. Granular Gas Dynamics (2003), Springer, Berlin p. 64
10. Ernst M.H., and Brito R. Driven inelastic maxwell models with energy tails. Phys. Rev. E 65 (2002) 040301
11. Puglisi A., Visco P., Trizac E., and van Wijland F. Dynamics of a tracer granular particle as a non-equilibrium Markov Process. Phys. Rev. E 73 (2006) 021301
12. Brey J.J., Ruiz-Montero M.J., and Moreno F. Energy partition and segregation for an intruder in a vibrated granular system under gravity. Phys. Rev. Lett. 098001 (2005) 95
13. Garzo V., and Dufty J.W. Hydrodynamics for a granular binary mixture at low density. Phys. Fluids 14 (2002) 1476
14. Résibois P., and de Leener M. Classical Theory of Fluids (1977), Wiley, New York
15. Montanero J.M., and Santos A. Computer simulation of uniformly heated granular fluids. Granular Matter 2 (2000) 53
16. A. Santos, J.W. Dufty, Dynamics of a granular impurity, cond-mat/063246, 2006.