On the computation of density and two-point correlation functions of a class of random matrix ensembles

Autor:	Alam, Kazi, Yadav, Swapnil, Muttalib, K. A.
Rok vydání:	2020
Předmět:	Mathematical Physics Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
Popis:	We demonstrate a method to solve a general class of random matrix ensembles numerically. The method is suitable for solving log-gas models with biorthogonal type two-body interactions and arbitrary potentials. We reproduce standard results for a variety of well-known ensembles and show some new results for the Muttalib-Borodin ensembles and recently introduced $\gamma$-ensemble for which analytic results are not yet available. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.10330 Zobrazit plný text záznamu View this record from Arxiv