Year: 2012
Type: article
Abstract: 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.
Author: Riccardo Fantoni
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2159837836