A generalized plasma and interpolation between classical random matrix ensembles

DOI10.1007/s10955-011-0173-3zbMath1227.82071arXiv1012.0597OpenAlexW2031887241MaRDI QIDQ540588

Peter J. Forrester, Christopher D. Sinclair

Publication date: 3 June 2011

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

Full work available at URL: https://arxiv.org/abs/1012.0597

zbMATH Keywords

probability functionconvergencefree energyequilibriumrandom matrixkinetic theoryplasmastwo-point correlationtrial-wave function

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (1)

Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\)

Cites Work

• Unnamed Item
• Exact electron addition spectrum in 1d supersymmetric \(t\)-\(J\) model with \(1/r^{2}\) interaction
• The Ginibre ensemble of real random matrices and its scaling limits
• Pfaffian point process for the Gaussian real generalised eigenvalue problem
• A solvable mixed charge ensemble on the line: global results
• Ensemble averages when \(\beta \) is a square integer
• Generalizations of Cauchy's determinant and Schur's Pfaffian
• A note on correlations between eigenvalues of a random matrix
• Correlations between eigenvalues of a random matrix
• Dynamics of One-Dimensional Quantum Systems
• Statistical Theory of the Energy Levels of Complex Systems. I
• Statistical Theory of the Energy Levels of Complex Systems. V

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