### Abstract

We present a method of computing the Coulomb forces on particles in an infinite configuration of charges in one dimension. The resolution of the apparent nonuniqueness in this problem leads to a structural proof of the translation symmetry breaking in jellium, at all temperatures, and to a related phenomenon of phase nonuniqueness in the two component system. The appropriate generalizations of the DLR and KMS conditions for these states are discussed.

Original language | English (US) |
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Pages (from-to) | 99-116 |

Number of pages | 18 |

Journal | Communications In Mathematical Physics |

Volume | 78 |

Issue number | 1 |

DOIs | |

State | Published - Nov 1 1980 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Aizenman, M., & Martin, P. A. (1980). Structure of gibbs states of one dimensional Coulomb systems.

*Communications In Mathematical Physics*,*78*(1), 99-116. https://doi.org/10.1007/BF01941972