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arXiv · 1301.5179

Random matrix ensembles: Wang-Landau algorithm for spectral densities

Santosh Kumar
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Abstract

We propose a method based on the Wang-Landau algorithm to numerically generate the spectral densities of random matrix ensembles. The method employs Dyson's log-gas formalism for random matrix eigenvalues and also enables one to simultaneously investigate the thermodynamic properties. This approach is a powerful alternative to the conventionally used Monte Carlo simulations based on the Boltzmann sampling, and is ideally suited for investigating beta-ensembles.

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Santosh Kumar. 2013-01-22. Random matrix ensembles: Wang-Landau algorithm for spectral densities. https://doi.org/10.1209/0295-5075%2F101%2F20002

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