A Monte Carlo study of the classical two-dimensional one-component plasma

Keywords

Coulomb, Monte Carlo method, Physics, Logarithm, Planar

References

• Debye thermodynamics for the two-dimensional one-component plasmaC. Deutsch, H. E. DeWitt, Y. Furutani — 1979
• Dielectric Response Function of Electron Liquids. II Static PropertiesHiroo Totsuji, Setsuo Ichimaru — 1973
• Numerical Fourier and Bessel transforms in logarithmic variablesJames D. Talman — 1978
• On the ν-dimensional one-component classical plasma: The thermodynamic limit problem revisitedR.R. Sari, D. Merlini — 1976
• Electron correlations at metallic densitiesK. S. Singwi, M. Tosi, R. H. Land — 1968
• Self-Diffusion in the Two-Dimensional, Classical Electron GasJ. P. Hansen, D. Levesque, J. J. Weis — 1979
• Statistical mechanics of dense ionized matter. II. Equilibrium properties and melting transition of the crystallized one-component plasmaE. L. Pollock, J. P. Hansen — 1973
• Exact results for a two-dimensional one-component plasma on a sphereJean-Michel Caillol — 1981
• The two-dimensional one-component plasma in the hypernetted chain approximationJ. P. Hansen, D. Levesque — 1981
• Influence of interatomic repulsion on the structure of liquids at meltingJean-Pierre Hansen, Daniel Schiff — 1973
• Dislocation-mediated melting in two dimensionsDavid R. Nelson, Bertrand I. Halperin — 1979
• On the oscillatory behaviour of velocity autocorrelation function of a 2D electron liquidR. K. Kalia, Priya Vashishta, Simon W. de Leeuw — 1981
• Statistical mechanics of simple coulomb systemsMarc Baus — 1980
• On the classical two-dimensional one-component Coulomb plasmaA. Alastuey, B. Jancovici — 1981
• Statistical Mechanics of Dense Ionized Matter. I. Equilibrium Properties of the Classical One-Component PlasmaJ. P. Hansen — 1973
• Monte Carlo Study of a One‐Component Plasma. IStephen G. Brush, H.L. Sahlin, Edward Teller — 1966
• Improved equation of state for the classical one-component plasmaW. L. Slattery, G. D. Doolen, H. E. DeWitt — 1980
• Theory of simple classical fluids: Universality in the short-range structureYaakov Rosenfeld, N. W. Ashcroft — 1979
• Perturbation approach to the classical one-component plasmaDavid M. Ceperley, G. V. Chester — 1977
• Nodal expansions for strongly coupled classical plasmasC. Deutsch, Y. Furutani, M. M. Gombert — 1981

Cited by

• Monte Carlo Simulations of the Yukawa One-Component PlasmaJean-Michel Caillol, D. Gilles — 2000
• Computational modelling of the vortex state in high-temperature superconductorsH. Fangohr — 2002
• 吸着場・液膜場でのコロイド粒子の秩序構造形成・自己組織化Minoru T. Miyahara, Satoshi Watanabe — 2008
• Microscopic computations in the fractional quantum Hall effectStephanie Jane Huntington — 2015
• Statistical mechanics of two-dimensional coulomb systems III. Dynamic properties of the two-dimensional one-component plasmaSimon W. de Leeuw, John W. Perram, E.R. Smith — 1983
• Exact solution for mean energy of 2d Dyson gas at = 1Sh. Shakirov — 2009
• Large deviation principle for empirical fields of Log and Riesz gasesThomas Leblé, Stéphane Serfaty — 2015
• Non-Hermitian Fermion Mapping for One-Component PlasmaM. B. Hastings — 1997
• Equilibrium and Non‐Equilibrium Melting of Two‐Dimensional Plasma CrystalsA. V. Ivlev, V. Nosenko, T. B. Röcker — 2015
• On the internal energy of the classical two-dimensional one-component-plasmaA. G. Khrapak, S. A. Khrapak — 2015
• Eigenvalue Distribution in the Self-Dual Non-Hermitian EnsembleM. B. Hastings — 1999
• Thermodynamics of Yukawa fluids near the one-component-plasma limitSergey A. Khrapak, Igor L. Semenov, Lénaïc Couëdel — 2015
• Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitationsR. B. Laughlin — 1983
• Experimental observation of two-stage melting in a classical two-dimensional screened Coulomb system.Cherry A. Murray, David H. Van Winkle — 1987
• The two-dimensional Coulomb gas on a sphere: Exact resultsPeter J. Forrester, B. Jancovici, J. Madore — 1992
• Statistical mechanics of two-dimensional Coulomb systems: II. The two-dimensional one-component plasmaSimon W. de Leeuw, John W. Perram — 1982
• From monotonic to oscillatory decay of correlations: Analytical approximation for the two-dimensional, one-component plasmaJ. Piasecki, D. Levesque — 1987
• Primitive and composite ground states in the fractional quantum hall effectR. B. Laughlin — 1984
• Monte Carlo evaluation of trial wavefunctions for the fractional quantized Hall effect: Spherical geometryR. Morf, Bertrand I. Halperin — 1987
• Electrons in a strong magnetic field on a diskM. Kasner, W. Apel — 1994

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