Blog
About

16
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Accurate first-principle equation of state for the One-Component Plasma

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Accurate "first-principle" expressions for the excess free energy \(F_{ex}\) and internal energy \(U_{ex}\) 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 \(\Gamma\) the Debye-Huckel result for \(F_{ex}\) and \(U_{ex}\) is recovered. For large \(\Gamma\) these depend linearly on \(\Gamma\) 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.

          Related collections

          Most cited references 4

          • Record: found
          • Abstract: not found
          • Article: not found

          Equation of state of the one-component plasma derived from precision Monte Carlo calculations

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Thermal energy of the crystalline one-component plasma from dynamical simulations

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Analytic fit to the one-component-plasma structure factor

                Bookmark

                Author and article information

                Journal
                cond-mat/9805358
                10.1002/ctpp.2150380403

                Comments

                Comment on this article