SUNScholar will be unavailable on 25 April 2018 from 08:00 to 10:00 South African Time for routine maintenance. Please contact for queries.

Two component plasma in a Flamm's paraboloid

Fantoni R. (2012)


The two component plasma (TCP) living in a Flamm's paraboloid is studied at a value of the coupling constant Γ = 2 for which an analytic expression for the grand canonical partition function is available. Two cases are considered: the plasma in the half surface with an insulating horizon and the plasma in the whole surface. The Green's function equation necessary to determine the n-particle truncated correlation functions is explicitly found. In both cases this proves too complicated to be solved analytically. Therefore we present a method of solution reducing the problem to finding the two linearly independent solutions of a linear homogeneous second order ordinary differential equation with polynomial coefficients of high degrees. In the flat limit one recovers the solution for the structure of the TCP in a plane in the first case but the collapse of opposite charges at the horizon means that the structure of the plasma is physically not well defined in the second case. © 2012 IOP Publishing Ltd and SISSA Medialab srl.

Please refer to this item in SUNScholar by using the following persistent URL:
This item appears in the following collections: