Pressures for a One-Component Plasma on a Pseudosphere

Details Pressures for a One-Component Plasma on a Pseudosphere Pressures for a One-Component Plasma on a Pseudosphere

2002-07-22

arxiv.org/abs/cond-mat/0207525v2

J.Stat.Phys. 112, 27 (2003)

Physics

Condensed Matter

Statistical Mechanics

24 pages, 1 figure, minor corrections and clarifications

Scientific paper

The classical (i.e. non-quantum) equilibrium statistical mechanics of a two-dimensional one-component plasma (a system of charged point-particles embedded in a neutralizing background) living on a pseudosphere (an infinite surface of constant negative curvature) is considered. In the case of a flat space, it is known that, for a one-component plasma, there are several reasonable definitions of the pressure, and that some of them are not equivalent to each other. In the present paper, this problem is revisited in the case of a pseudosphere. General relations between the different pressures are given. At one special temperature, the model is exactly solvable in the grand canonical ensemble. The grand potential and the one-body density are calculated in a disk, and the thermodynamic limit is investigated. The general relations between the different pressures are checked on the solvable model.

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