### Abstract

We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in the presence of random forcing are investigated, and special emphasis is paid to the small inelasticity limit. The results are obtained from analytical arguments applied to the Boltzmann equation along with three complementary numerical techniques (molecular dynamics, direct Monte Carlo simulation methods and iterative solutions of integro-differential kinetic equations). For the freely cooling fluid, we investigate in detail the scaling properties of the bimodal velocity distribution emerging close to elasticity and calculate the scaling function associated with the distribution function. In the heated steady state, we find that, depending on the inelasticity, the distribution function may display two different stretched exponential tails at large velocities. The inelasticity dependence of the crossover velocity is determined, and it is found that the extremely high-velocity tail may not be observable at 'experimentally relevant' inelasticities.

Original language | English |
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Pages (from-to) | 463-480 |

Number of pages | 18 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 35 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 25 2002 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

### Cite this

*Journal of Physics A: Mathematical and General*,

*35*(3), 463-480. https://doi.org/10.1088/0305-4470/35/3/302