## Abstract

We study, via computer simulations, the fluctuations in the net electric charge in a two-dimensional, one component plasma (OCP) with uniform background charge density -ep in a region Λ inside a much larger overall neutral system. Setting e = 1, this is the same as the fluctuations in N_{Λ}, the number of mobile particles of charge e. As expected, the distribution of N_{Λ} has, for large Λ, a Gaussian form with a variance which grows only as κ̂ |∂Λ|, where |∂Λ| is the length of the perimeter of Λ. The properties of this system depend only on the coupling parameter Γ = kT, which is the same as the reciprocal temperature in our units. Our simulations show that when the coupling parameter Γ increases, κ̂(Γ) decreases to an asymptotic value κ̂(∞) ∼ κ̂(2)/2 which is equal (or very close) to that obtained for the corresponding variance of particles on a rigid triangular lattice. Thus, for large Γ, the characteristic length ξ_{L}, = 2κ̂/p associated with charge fluctuations behaves very differently from that of the Debye length, ξ_{D} ∼ 1/√Γ which it approaches as Γ→0. The pair correlation function of the OCP is also studied.

Original language | English (US) |
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Pages (from-to) | 209-222 |

Number of pages | 14 |

Journal | Journal of Statistical Physics |

Volume | 100 |

Issue number | 1-2 |

DOIs | |

State | Published - Jul 2000 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

## Keywords

- Charge fluctuations
- One-component plasma
- Perimeter law
- Two dimensions