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Related papers: One and two-component hard core plasmas

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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

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

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

In a non-ideal classical Coulomb one-component plasma (OCP) all thermodynamic properties are known to depend only on a single parameter -- the coupling parameter $\Gamma$. In contrast, if the pair interaction is screened by background…

Plasma Physics · Physics 2015-03-06 T. Ott , M. Bonitz , L. Stanton , M. S. Murillo

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 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

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically…

Plasma Physics · Physics 2008-11-26 Manuel A. Valle Basagoiti

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

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

The model under consideration is a two-dimensional two-component plasma, i.e., a continuous system of two species of pointlike particles of opposite charges $\pm 1$, interacting through the logarithmic Coulomb interaction. Using the exact…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , B. Jancovici

Interaction between two interpenetrating spherically symmetric charge distributions has been calculated. Limited range terms appear in addition to the Coulomb potential. Its strength increases and range decreases with reducing sizes of the…

Nuclear Theory · Physics 2009-03-20 A. Mukherji

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 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

We present a parametrization of the pair correlation function and the static structure factor of the Coulomb one component plasma (OCP) from the weakly coupled regime to the strongly coupled regime. Recent experiments strongly suggest that…

Plasma Physics · Physics 2016-11-03 Nicolas Desbiens , Philippe Arnault , Jean Clérouin

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

We study the classical two-dimensional one-component plasma of $N$ positively charged point particles, interacting via the Coulomb potential and confined by an external potential. For the specific inverse temperature $\beta=1$ (in our…

Mathematical Physics · Physics 2019-08-21 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

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

Phase separations in strongly coupled fine particles in plasmas are discussed and two-component mixtures are simulated by molecular dynamics with the background plasma being treated as continuum. The system size of laboratory experiments is…

Plasma Physics · Physics 2024-05-24 Hiroo Totsuji

We present Monte Carlo simulations of the two-dimensional one-component plasma (2D OCP) confined to a cylindrical geometry, focusing on density profiles, fluctuations, and their connection to bulk correlation functions. The cylindrical…

Statistical Mechanics · Physics 2024-12-23 Gabriel Cardoso , Jean-Marie Stéphan , Alexander G. Abanov
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