Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality

@article{Nagao2020FamiliesOT,
  title={Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality},
  author={T. Nagao and G. Akemann and M. Kieburg and I. Parra},
  journal={Journal of Physics A},
  year={2020},
  volume={53},
  pages={075201}
}
  • T. Nagao, G. Akemann, +1 author I. Parra
  • Published 2020
  • Physics, Mathematics
  • Journal of Physics A
  • We investigate a one-parameter family of Coulomb gases in two dimensions, which are confined to an ellipse, due to a hard wall constraint, and are subject to an additional external potential. At inverse temperature $\beta=2$ we can use the technique of planar orthogonal polynomials, borrowed from random matrix theory, to explicitly determine all $k$-point correlation functions for a fixed number of particles $N$. These are given by the determinant of the kernel of the corresponding orthogonal… CONTINUE READING
    2 Citations

    Figures from this paper.

    Edge behavior of two-dimensional Coulomb gases near a hard wall.
    • S. Seo
    • Physics, Mathematics
    • 2020
    Gegenbauer and Other Planar Orthogonal Polynomials on an Ellipse in the Complex Plane
    • 1
    • PDF

    References

    SHOWING 1-10 OF 43 REFERENCES
    The High Temperature Crossover for General 2D Coulomb Gases
    • 8
    • PDF
    Third-Order Phase Transition: Random Matrices and Screened Coulomb Gas with Hard Walls
    • 3
    • PDF
    Edge scaling limits for a family of non-Hermitian random matrix ensembles
    • 17
    • PDF
    Random matrices: Universality of local spectral statistics of non-Hermitian matrices
    • 91
    • PDF
    Universality at Weak and Strong Non-Hermiticity Beyond the Elliptic Ginibre Ensemble
    • 11
    • PDF
    Universality Conjecture for all Airy, Sine and Bessel Kernels in the Complex Plane
    • 6
    • PDF
    Almost-Hermitian random matrices: eigenvalue density in the complex plane
    • 95
    • PDF