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10 papers · 1 filter
Two-dimensional one-component plasma on a Flamm's paraboloid
Riccardo Fantoni, Gabriel Tellez
We study the classical non-relativistic two-dimensional one-component plasma at Coulomb coupling Gamma=2 on the Riemannian surface known as Flamm's paraboloid which is obtained fro…
Wigner Surmise For Domain Systems
Diego Luis Gonzalez, Gabriel Tellez
In random matrix theory, the spacing distribution functions are well fitted by the Wigner surmise and its generalizations. In this approximation the spacing functions…
Equation of state in the fugacity format for the two-dimensional Coulomb gas
Gabriel Tellez
We derive the exact general form of the equation of state, in the fugacity format, for the two-dimensional Coulomb gas. Our results are valid in the conducting phase of the Coulomb…
Short-distance expansion of correlation functions in the charge-symmetric two-dimensional two-component plasma: Exact results
Gabriel Tellez
We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point part…
Debye-Huckel theory for two-dimensional Coulomb systems living on a finite surface without boundaries
Gabriel Tellez
We study the statistical mechanics of a multicomponent two-dimensional Coulomb gas which lives on a finite surface without boundaries. We formulate the Debye--Huckel theory for suc…
General Considerations on the Finite-Size Corrections for Coulomb Systems in the Debye-Huckel Regime
Aldemar Torres, Gabriel Tellez
We study the statistical mechanics of classical Coulomb systems in a low coupling regime (Debye-Huckel regime) in a confined geometry with Dirichlet boundary conditions. We use a m…