Generalized random matrix model with additional interactions

Abstract

We introduce a log-gas model that is a generalization of a random matrix ensemble with an additional interaction, whose strength depends on a parameter $\gamma$. The equilibrium density is computed by numerically solving the Riemann-Hilbert problem associated with the ensemble. The effect of the additional parameter $\gamma$ associated with the two-body interaction can be understood in terms of an effective $\gamma$-dependent single-particle confining potential.

arXiv comment16 pages, 12 figures

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Cited by in corpus (3)

• Generalized random matrix model with additional interactions
• Nonmonotonic confining potential and eigenvalue density transition for generalized random matrix model
• On the computation of density and two-point correlation functions of a class of random matrix ensembles