Global fluctuation formulas and universal correlations for random matrices and log-gas systems at infinite density

Details Global fluctuation formulas and universal correlations for random matrices and log-gas systems at infinite density Global fluctuation formulas and universal correlations for random matrices and log-gas systems at infinite density

1994-11-03

arxiv.org/abs/cond-mat/9411019v1

Physics

Condensed Matter

10 pgs, latex, no figures, to appear Nucl. Phys. B

Scientific paper

10.1016/0550-3213(94)00481-S

It is shown how the universal correlation function of Brezin and Zee, and Beenakker, for random matrix ensembles of Wigner-Dyson type with density support on a finite interval can be derived using a linear response argument and macroscopic electrostatics. The analogous formula for ensembles of unitary random matrices is derived using the same method, and the corresponding global fluctuation formula for the variance of a linear statistic is presented. The result for the universal correlation is checked using an exact result for the finite system two-point correlation in the Dyson circular ensemble at all even $\beta$.

Affiliated with

Also associated with

No associations

Rating

Global fluctuation formulas and universal correlations for random matrices and log-gas systems at infinite density does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global fluctuation formulas and universal correlations for random matrices and log-gas systems at infinite density, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global fluctuation formulas and universal correlations for random matrices and log-gas systems at infinite density will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582869