### Abstract

We map the classical two-dimensional one-component plasma of charged particles with coupling constant Γ an even positive integer onto a one-dimensional fermionic system. We then show that, in the thermodynamic limit of the fluid regime, translational invariance of the two-body density implies an infinite sequence of interrelations among the coefficients of its short-distance expansion. The existence of these sum rules turns out to be related to a general symmetry of the Coulomb system, providing a functional relation for the two-body density for arbitrary coupling Γ.

Original language | English (US) |
---|---|

Pages (from-to) | 811-824 |

Number of pages | 14 |

Journal | Journal of Statistical Physics |

Volume | 80 |

Issue number | 3-4 |

DOIs | |

State | Published - Aug 1995 |

### Fingerprint

### Keywords

- logarithmic interaction
- One-component plasma
- sum rules

### ASJC Scopus subject areas

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

### Cite this

*Journal of Statistical Physics*,

*80*(3-4), 811-824. https://doi.org/10.1007/BF02178556

**A functional relation among the pair correlations of the two-dimensional one-component plasma.** / Šamaj, L.; Percus, Jerome.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 80, no. 3-4, pp. 811-824. https://doi.org/10.1007/BF02178556

}

TY - JOUR

T1 - A functional relation among the pair correlations of the two-dimensional one-component plasma

AU - Šamaj, L.

AU - Percus, Jerome

PY - 1995/8

Y1 - 1995/8

N2 - We map the classical two-dimensional one-component plasma of charged particles with coupling constant Γ an even positive integer onto a one-dimensional fermionic system. We then show that, in the thermodynamic limit of the fluid regime, translational invariance of the two-body density implies an infinite sequence of interrelations among the coefficients of its short-distance expansion. The existence of these sum rules turns out to be related to a general symmetry of the Coulomb system, providing a functional relation for the two-body density for arbitrary coupling Γ.

AB - We map the classical two-dimensional one-component plasma of charged particles with coupling constant Γ an even positive integer onto a one-dimensional fermionic system. We then show that, in the thermodynamic limit of the fluid regime, translational invariance of the two-body density implies an infinite sequence of interrelations among the coefficients of its short-distance expansion. The existence of these sum rules turns out to be related to a general symmetry of the Coulomb system, providing a functional relation for the two-body density for arbitrary coupling Γ.

KW - logarithmic interaction

KW - One-component plasma

KW - sum rules

UR - http://www.scopus.com/inward/record.url?scp=21844487399&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844487399&partnerID=8YFLogxK

U2 - 10.1007/BF02178556

DO - 10.1007/BF02178556

M3 - Article

VL - 80

SP - 811

EP - 824

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -