2 research outputs found
Accurate first-principle equation of state for the One-Component Plasma
Accurate "first-principle" expressions for the excess free energy
and internal energy of the classical one-component plasma (OCP) are
obtained. We use the Hubbard-Schofield transformation that maps the OCP
Hamiltonian onto the Ising-like Hamiltonian, with coefficients expressed in
terms of equilibrium correlation functions of a reference system. We use the
ideal gas as a reference system for which all the correlation functions are
known. Explicit calculations are performed with the high-order terms in the
Ising-like Hamiltonian omitted. For small values of the plasma parameter
the Debye-Huckel result for and is recovered. For
large these depend linearly on in accordance with the Monte
Carlo findings for the OCP. The MC data for the internal energy are reproduced
fairly well by the obtained analytical expression.Comment: 15 pages, 2 figures, to appear in Contrib. Plasma Phys., v.38 N4,
(1998