## Abstract

The velocity distribution of a granular gas is analyzed in terms of the Sonine polynomials expansion. We derive an analytical expression for the third Sonine coefficient a_{3}. In contrast to frequently used assumptions this coefficient is of the same order of magnitude as the second Sonine coefficient a_{2}. For small inelasticity the theoretical result is in good agreement with numerical simulations. The next-order Sonine coefficients a_{4}, _{5} and a_{6} are determined numerically. While these coefficients are negligible for small dissipation, their magnitude grows rapidly with increasing inelasticity for 0 < ε ≲ 0.6. We conclude that this behavior of the Sonine coefficients manifests the breakdown of the Sonine polynomial expansion caused by the increasing impact of the overpopulated high-energy tail of the distribution function.

Original language | English |
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Pages (from-to) | 424-430 |

Number of pages | 7 |

Journal | Europhysics Letters |

Volume | 74 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 May 2006 |

Externally published | Yes |