### Abstract

Time-displaced conditional distribution functions are calculated for an infinite, one-dimensional mixture of equal-mass hard rods of different diameters. The kinetic equation that describes the time dependence of the one-particle total distribution function is found to be non-Markovian, in contrast with the situation in systems of identical rods. The correlation function does not contain any isolated damped oscillation, except for systems of equal-diameter rods with discrete velocities. Thus, we generalize the one-component results of Lebowitz, Perçus, and Sykes, removing some nontypical features of that system.

Original language | English (US) |
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Pages (from-to) | 179-190 |

Number of pages | 12 |

Journal | Journal of Statistical Physics |

Volume | 18 |

Issue number | 2 |

DOIs | |

State | Published - Feb 1 1978 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Aizenman, M., Lebowitz, J., & Marro, J. (1978). Time-displaced correlation functions in an infinite one-dimensional mixture of hard rods with different diameters.

*Journal of Statistical Physics*,*18*(2), 179-190. https://doi.org/10.1007/BF01014309