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Related papers: Internal energy of the classical two- and three-di…

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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

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

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

The energetics and stability of dislocations, vacancies and, interstitials in the one-component plasma (OCP), where the charges interact with a log potential and move on the curved surface of a cylinder have been investigated numerically.…

Statistical Mechanics · Physics 2026-01-06 G. Vilella Nilsson , M. A. Moore

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

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…

Statistical Mechanics · Physics 2009-10-31 N. V. Brilliantov

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

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

The internal energy of high-density hydrogen plasmas in the temperature range $T = 10,000 ... 50,000 K$ is calculated by two different analytical approximation schemes (method of effective ion-ion interaction potential - EIIP and Pad\'e…

Plasma Physics · Physics 2007-07-29 S. A. Trigger , W. Ebeling , V. S. Filinov , V. E. Fortov , M. Bonitz

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 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

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

Thermodynamics of weakly screened (near the one-component-plasma limit) Yukawa fluids in two and three dimensions is analyzed in detail. It is shown that the thermal component of the excess internal energy of these fluids, when expressed in…

Plasma Physics · Physics 2015-12-17 Sergey A. Khrapak , Igor L. Semenov , Lenaic Couedel , Hubertus M. Thomas

There are strong evidences that the melting in two dimensions depends crucially on the form and range of the interaction potentials between particles. We study with Monte Carlo simulations the phase diagram and the melting of a monolayer of…

Statistical Mechanics · Physics 2013-01-09 Martial Mazars

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

The selfenergy in Born approximation including exchange of interacting one-dimensional systems is expressed in terms of a single integral about the potential which allows a fast and precise calculation for any potential analytically. The…

Strongly Correlated Electrons · Physics 2025-02-18 Klaus Morawetz , Vinod Ashokan , Kare Narain Pathak , Neil Drummond

The one-dimensional configuration coordinate model (1D-CCM) is widely used for the analysis of photoluminescence in molecules and doped solids, and relies on a linear combination of the equilibrium nuclear configurations of ground and…

Materials Science · Physics 2019-10-23 Yongchao Jia , Samuel Poncé , Anna Miglio , Masayoshi Mikami , Xavier Gonze

The two-dimensional one-component plasma (2dOCP) is a system of $N$ mobile particles of the same charge $q$ on a surface with a neutralising background. The Boltzmann factor of the 2dOCP at temperature $T$ can be expressed as a Vandermonde…

Mathematical Physics · Physics 2013-07-17 Gabriel Tellez , Peter J. Forrester

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
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