One-component plasma on a spherical annulus and a random matrix ensemble

Details One-component plasma on a spherical annulus and a random matrix ensemble One-component plasma on a spherical annulus and a random matrix ensemble

2011-07-26

arxiv.org/abs/1107.5220v2

J. Stat. Mech. (2011) P10003

Physics

Mathematical Physics

v2, typos and references corrected, 24 pages, 1 figure

Scientific paper

10.1088/1742-5468/2011/10/P10003

The two-dimensional one-component plasma at the special coupling \beta = 2 is known to be exactly solvable, for its free energy and all of its correlations, on a variety of surfaces and with various boundary conditions. Here we study this system con?ned to a spherical annulus with soft wall boundary conditions, paying special attention to the resulting asymptotic forms from the viewpoint of expected general properties of the two-dimensional plasma. Our study is motivated by the realization of the Boltzmann factor for the plasma system with \beta = 2, after stereographic projection from the sphere to the complex plane, by a certain random matrix ensemble constructed out of complex Gaussian and Haar distributed unitary matrices.

Affiliated with

Also associated with

No associations

Rating

One-component plasma on a spherical annulus and a random matrix ensemble 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 One-component plasma on a spherical annulus and a random matrix ensemble, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-component plasma on a spherical annulus and a random matrix ensemble will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-93776