Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles
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 po...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/58489 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/58489 |
| Access Level: | acceso abierto |
| Palavra-chave: | 536 Granular flows Termodinámica 2213 Termodinámica |
| Resumo: | 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 stimulations confirm our results and show exponential behavior in the high-energy tails. |
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