Two-dimensional one-component plasma on a Flamm's paraboloid

Details Two-dimensional one-component plasma on a Flamm's paraboloid Two-dimensional one-component plasma on a Flamm's paraboloid

2008-06-06

arxiv.org/abs/0806.1075v1

J. Stat. Phys. 133, 449 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1007/s10955-008-9616-x

We study the classical non-relativistic two-dimensional one-component plasma at Coulomb coupling Gamma=2 on the Riemannian surface known as Flamm's paraboloid which is obtained from the spatial part of the Schwarzschild metric. At this special value of the coupling constant, the statistical mechanics of the system are exactly solvable analytically. The Helmholtz free energy asymptotic expansion for the large system has been found. The density of the plasma, in the thermodynamic limit, has been carefully studied in various situations.

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