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Kinetic equations for smooth granular systems

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  • Morgado, W.A.M.
  • Oppenheim, I.

Abstract

In the present work we derive kinetic equations for the rarified granular gas from the Fokker-Planck equation that describes the time evolution of the reduced distribution function for the translational granular degrees of freedom. We obtain the explicit form for the inelastic dissipation term and calculate the time evolution of the granular temperature for the homogeneous granular gas. Our result differs from that in which the coefficient of restitution is assumed to be velocity independent.

Suggested Citation

  • Morgado, W.A.M. & Oppenheim, I., 1997. "Kinetic equations for smooth granular systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 547-562.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:3:p:547-562
    DOI: 10.1016/S0378-4371(97)00380-4
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    References listed on IDEAS

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    1. Brilliantov, Nikolai V. & Spahn, Frank & Hertzsch, Jan-Martin & Pöschel, Thorsten, 1996. "The collision of particles in granular systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(4), pages 417-424.
    2. Van Kampen, N.G. & Oppenheim, I., 1986. "Brownian motion as a problem of eliminating fast variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(1), pages 231-248.
    3. Savage, William W., 1983. "Texas Woollybacks: The Range Sheep and Goat Industry. By Paul H. Carlson. College Station, Texas A&M University Press, 1982. Pp. xiv + 236. $17.50. - Counting Sheep: From Open Range to Agribusiness on," Business History Review, Cambridge University Press, vol. 57(3), pages 430-432, October.
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