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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…

Soft Condensed Matter · Physics 2009-11-07 Nikolai V. Brilliantov , Vitali V. Malinin , Roland R. Netz

We present analytic fits of classical one--component plasma (OCP) internal energy over a wide range of coupling parameter $0.01\le\Gamma\le 170$ using Monte--Carlo data in the thermodynamic limit. We extend the dataset obtained in [Demyanov…

Plasma Physics · Physics 2025-09-03 G. S. Demyanov , P. R. Levashov

Using field-theoretic methods, we calculate the internal energy for the One-Component Plasma (OCP). We go beyond the recent calculation by Brilliantov [N. Brilliantov, Contrib. Plasma Phys. 38, pg. 489 (1998) / cond-mat/9805358] by…

Statistical Mechanics · Physics 2015-06-25 Andre G. Moreira , Roland R. Netz

An accurate equation of state of the one component plasma is obtained in the low coupling regime $0 \leq \Gamma \leq 1$. The accuracy results from a smooth combination of the well-known hypernetted chain integral equation, Monte Carlo…

Statistical Mechanics · Physics 2010-02-17 Jean-Michel Caillol , Dominique Gilles

The one-component plasma (OCP) represents the simplest statistical mechanical model of a Coulomb system. For this reason, it has been extensively studied over the last forty years. The advent of the integral equations has resulted in a…

Soft Condensed Matter · Physics 2015-06-25 M. N. Tamashiro , Yan Levin , Marcia C. Barbosa

In this work, we derive a correct expression for the one--component plasma (OCP) energy via the angular--averaged Ewald potential (AAEP). Unlike E.~Yakub and C.~Ronchi (J. Low Temp. Phys. 139, 633 (2005)), who had tried to obtain the same…

Plasma Physics · Physics 2022-07-29 G. S. Demyanov , P. R. Levashov

We summarize several semi-phenomenological approaches to estimate the internal energy of one-component-plasma (OCP) in two (2D) and three (3D) dimensions. Particular attention is given to a hybrid approach, which reproduces the…

Plasma Physics · Physics 2016-05-25 S. A. Khrapak , A. G. Khrapak

The two dimensional one component plasma 2dOCP is a classical system consisting of $N$ identical particles with the same charge $q$ confined in a two dimensional surface with a neutralizing background. The Boltzmann factor at temperature…

Statistical Mechanics · Physics 2016-07-20 Robert Salazar , Gabriel Téllez

The classical one-component plasma (OCP) bounded by a spherical surface reflecting ions (BOCP) is studied using molecular dynamics (MD). Simulations performed for a series of sufficiently large BOCP's make it possible to establish the size…

Plasma Physics · Physics 2026-04-10 D. I. Zhukhovitskii , E. E. Perevoshchikov

Intrinsic bulk viscosity of the one-component plasma (OCP) is computed and analyzed using equilibrium molecular dynamics simulations and the Green-Kubo formalism. It is found that bulk viscosity exhibits a maximum at $\Gamma \approx 1$,…

Plasma Physics · Physics 2025-01-15 Jarett LeVan , Scott D. Baalrud

We investigate the crystallization rate of a one-component plasma (OCP) in the context of classical nucleation theory. From our derivation of the free energy of an arbitrary distribution of solid clusters embedded in a liquid phase, we…

Astrophysics · Physics 2009-06-23 Randall L. Cooper , Lars Bildsten

A field theory is presented for particles which interact via Coulomb and hard-core potentials. We apply the method to the one-component plasma (OCP) with hard cores, consisting of identical particles of fixed charge and diameter in a…

Soft Condensed Matter · Physics 2007-05-23 Roland R. Netz , H. Orland

Orbital-free molecular dynamics simulations are used to benchmark two popular models for hot dense plasmas: the one component plasma (OCP) and the Yukawa model. A unified concept emerges where an effective OCP (eOCP) is constructed from the…

Plasma Physics · Physics 2020-11-19 Jean Clérouin , Philippe Arnault , Christopher Ticknor , Joel D. Kress , Lee A. Collins

We calculate the energy of a homogeneous one component plasma and find that the energy is lower for correlated motions of the particles as compared to uncorrelated motion. Our starting point is the conserved approximately relativistic…

Plasma Physics · Physics 2009-11-13 Hanno Essen

The excess energy of the one-component plasma fluid is calculated using the variational approach combined with different variants of the excess entropy of the hard-sphere fluid, which is used as a reference system. Our comparison with…

Plasma Physics · Physics 2026-01-06 S. A. Khrapak , A. G. Khrapak

An effective method based on Hubbard-Schofield approach [Phys. Lett. A {\bf 40}, 245 (1972)] is developed to calculate the free energy of classical Coulomb systems. This method significantly simplifies the derivation of the cluster…

Classical Physics · Physics 2007-05-23 J. Ortner

Using the expansion on monomial functions of the Vandermonde determinant to the power $\Gamma=Q^2/(k_BT)$, a way to find the excess energy $U_{exc}$ of the two dimensional one component plasma 2dOCP on the hard and soft disk (or Dyson Gas)…

Statistical Mechanics · Physics 2018-01-03 R. Salazar , G. Téllez

Based on a Debye-Hueckel approach to the one-component plasma we propose a new free energy for incorporating ionic correlations into Poisson-Boltzmann like theories. Its derivation employs the exclusion of the charged background in the…

Soft Condensed Matter · Physics 2009-10-31 Marcia C. Barbosa , Markus Deserno , Christian Holm

We present a generalization of the Debye-H\"uckel free-energy-density functional of simple fluids to the case of two-component systems with arbitrary interaction potentials. It allows one to obtain the two-component Debye-H\"uckel integral…

Plasma Physics · Physics 2018-10-24 T. Blenski , R. Piron

The two-dimensional one-component plasma (OCP) is a model of electrically charged particles which are embedded in a uniform background of the opposite charge, and interact through a logarithmic potential. More than 30 years ago, Jancovici,…

Probability · Mathematics 2025-10-15 Alon Nishry , Oren Yakir
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