Exact energy computation of the one component plasma on a sphere for even values of the coupling parameter

DOI10.1007/s10955-016-1562-4zbMath1355.82047arXiv1603.01746OpenAlexW3101302472MaRDI QIDQ321351

Mohammad Hasan, M. Dambrine

Publication date: 13 October 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01746

zbMATH Keywords

Coulomb gasMetropolis methodone component plasma

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (5)

Logarithmic finite-size correction in non-neutral two-component plasma on sphere ⋮ Coulomb and Riesz gases: The known and the unknown ⋮ Plasma living in a curved surface at some special temperature ⋮ Finite-size effects in non-neutral two-dimensional Coulomb fluids ⋮ Fourth moment of the charge density induced around a guest charge in two-dimensional jellium

Uses Software

• gmp
• SCHUR

Cites Work

• Exact solution for mean energy of 2d Dyson gas at \(\beta = 1\)
• The two-dimensional one-component plasma at \(\Gamma =2:\) The semiperiodic strip
• Two-dimensional Coulomb systems on a surface of constant negative curvature
• Coulomb systems seen as critical systems: Finite-size effects in two dimensions
• Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma
• Exact finite-size study of the 2D OCP at \(\Gamma=4\) and \(\Gamma=6\)
• Is the two-dimensional one-component plasma exactly solvable?
• Relations among two methods for computing the partition function of the two-dimensional one-component plasma
• LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT
• Powers of the Vandermonde determinant and the quantum Hall effect
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
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