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Related papers: Systematic Field-Theory for the Hard-Core One-Comp…

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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

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

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

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

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

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

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

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

The paper discusses the problem of stability of a two-component plasma and proposes a consistent consideration of quantum and long-range effects to calculate the thermodynamic properties of such a plasma. We restrict ourselves by the case…

Plasma Physics · Physics 2023-09-28 G. S. Demyanov , P. R. Levashov

The classical two-dimensional one-component plasma is an exactly solvable model, at some special temperature, even when the one-body potential acting on the particles has a quadrupolar term. As a supplement to a recent work of Di Francesco,…

Condensed Matter · Physics 2015-06-25 P. J. Forrester , B. Jancovici

We develop a comprehensive Hamiltonian formulation for plasma dynamics that unifies collisionless gyrokinetic and collisional processes. Our framework rigorously describes the evolution of free energy and entropy during the transition from…

Plasma Physics · Physics 2025-07-08 Joseph Samper Finberg

We analyze the screening and bulk energy of a classical and strongly interacting plasma of color charges, a model we recently introduced for the description of a quark-gluon plasma at T=(1-3)Tc. The partition function is organized around…

Nuclear Theory · Physics 2008-11-26 Boris A. Gelman , Edward V. Shuryak , Ismail Zahed

Thermodynamic quantities of Coulomb plasmas consisting of point-like ions immersed in a compressible, polarizable electron background are calculated for ion charges Z=1 to 26 and for a wide domain of plasma parameters ranging from the…

Plasma Physics · Physics 2016-09-08 G. Chabrier , A. Y. Potekhin

The two-dimensional one-component plasma ---2dOCP--- is a system composed by $n$ mobile particles with charge $q$ over a neutralizing background in a two-dimensional surface. The Boltzmann factor of this system, at temperature $T$, takes…

Statistical Mechanics · Physics 2016-05-09 Johnny Alejandro Mora Grimaldo , Gabriel Tellez

The analytic form of the electrostatic potential felt by a slowly moving test charge in quantum plasma is being derived. It has been shown that the potential composed of two parts: Debye-Huckel screening term and near-field wake potential…

Atomic Physics · Physics 2014-12-02 S. Dutta , J. K. Saha , T. K. Mukherjee

We develop analytic approximations of thermodynamic functions of fully ionized nonideal electron-ion plasma mixtures. In the regime of strong Coulomb coupling, we use our previously developed analytic approximations for the free energy of…

Plasma Physics · Physics 2009-02-12 A. Y. Potekhin , G. Chabrier , F. J. Rogers

The frequency dependent conductivity $\sigma(\omega)$ of the strongly coupled Quark-Gluon Plasma (QGP) is estimated using a bottom up holographic model that can adequately describe recent lattice data for QCD thermodynamics at zero chemical…

High Energy Physics - Theory · Physics 2014-05-28 Stefano I. Finazzo , Jorge Noronha

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

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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