Abstract
The time dependence of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastically colliding spheres is investigated by kinetic theory. We determine the full time dependence of the coefficients of an expansion around the Gaussian state in Generalized Laguerre polynomials. Approximating this system of equations to sixth order, we find that the asymptotic state, where the mean energy T follows Haff's law with time independent cooling rate, is reached within a few collisions per particle. Two-dimensional molecular dynamics simulations confirm our results and show exponential behavior in the high-energy tails.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 10 January 2000
Rights and permissions
About this article
Cite this article
Huthmann, M., Orza, J. & Brito, R. Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles. GM 2, 189–199 (2000). https://doi.org/10.1007/s100350000047
Issue Date:
DOI: https://doi.org/10.1007/s100350000047