## Abstract

We study a class of stochastic ballistic annihilation and coalescence models with a binary velocity distribution in one dimension. We obtain an exact solution for the density which reveals a universal phase diagram for the asymptotic density decay. By universal we mean that all models in the class are described by a single phase diagram spanned by two reduced parameters. The phase diagram reveals four regimes, two of which contain the previously studied cases of ballistic annihilation. The two new phases are a direct consequence of the stochasticity. The solution is obtained through a matrix product approach and builds on properties of a q-deformed harmonic oscillator algebra.

Original language | English |
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Pages (from-to) | 3750-3753 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 85 |

Issue number | 18 |

DOIs | |

Publication status | Published - 30 Oct 2000 |

## Keywords

- ANALYTIC APPROACH
- REACTION-KINETICS
- GAS