Systematic Field-Theory for the Hard-Core One-Component Plasma
Abstract
An accurate and systematic equation of state for the hard-core one-component plasma (HCOCP) is obtained. The result is based on the Hubbard-Schofield transformation which yields the field-theoretical Hamiltonian, with coefficients expressed in terms of equilibrium correlation functions of the reference hard-core fluid. Explicit calculations were performed using the Gaussian approximation for the effective Hamiltonian and known thermodynamic and structural properties of the reference hard-core fluid. For small values of the plasma parameter G and packing fraction the Debye-Huckel result is recovered, while for G>>1, the excess free energy F_ex and internal U_{ex} energy depend linearly on G. The obtained expression for U_ex is in a good agreement with the available Monte Carlo data for the HCOCP. We also analyse the validity of the widely used approximation, which represents the free energy as a sum of the hard-core and electrostatic part.
Cite
@article{arxiv.cond-mat/0201227,
title = {Systematic Field-Theory for the Hard-Core One-Component Plasma},
author = {Nikolai V. Brilliantov and Vitali V. Malinin and Roland R. Netz},
journal= {arXiv preprint arXiv:cond-mat/0201227},
year = {2009}
}
Comments
14 pages, 3 figures