Journal ArticleDOI
Debye thermodynamics for the two-dimensional one-component plasma
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In this article, the internal and free energies of a two-dimensional one-component plasma model, in the high-temperature Debye approximation, are investigated, and a domain of validity for this model is discussed.Abstract:
The internal and free energies of a two-dimensional one-component plasma model, in the high-temperature Debye approximation, are reinvestigated, and a domain of validity for this model is discussed.read more
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Journal ArticleDOI
A Monte Carlo study of the classical two-dimensional one-component plasma
Jean-Michel Caillol,Jean-Michel Caillol,Dominique Levesque,Dominique Levesque,Jean-Jacques Weis,Jean-Jacques Weis,Jean-Pierre Hansen,Jean-Pierre Hansen +7 more
TL;DR: In this article, the authors present results from extensive Monte Carlo simulations of the fluid phase of the two-dimensional classical one-component plasma (OCP) and compare these results to those obtained for a planar system with screened Coulomb interactions and periodic boundary conditions.
Journal ArticleDOI
Statistical mechanics of two-dimensional Coulomb systems: II. The two-dimensional one-component plasma
S. W. de Leeuw,J.W. Perram +1 more
TL;DR: In this paper, the results of molecular dynamics calculations of the two-dimensional one-component plasma with logarithmic interactions between the particles are reported, and a solid-fluid transition is observed for Γ = q 2 kT ≈ 135.
Journal ArticleDOI
Two-dimensional coulomb systems on a surface of constant negative curvature
TL;DR: In this paper, the authors studied the equilibrium statistical mechanics of two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature) and showed that the Coulomb potential created by one point charge exists and goes to zero at infinity.
Journal ArticleDOI
Internal Energy of the Classical Two- and Three-Dimensional One-Component-Plasma
TL;DR: In this paper, the authors summarize several semi-phenomenological approaches to estimate the internal energy of one-component plasma (OCP) in two (2D) and three (3D) dimensions.
Journal ArticleDOI
Coulomb and Riesz gases: The known and the unknown
TL;DR: In this paper , the authors review what is known, unknown, and expected about the mathematical properties of Coulomb and Riesz gases, and the main question addressed is how to properly define the associated infinite point process and characterize it using some (renormalized) equilibrium equation.
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