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arXiv · 1908.03726

Generalized random matrix model with additional interactions

Swapnil Yadav·Kazi Alam·K. A. Muttalib·Dong Wang
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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.

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Swapnil Yadav, Kazi Alam, K. A. Muttalib, Dong Wang. 2019-08-10. Generalized random matrix model with additional interactions. https://doi.org/10.1088/1751-8121/ab56e0

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