Exotic plasma as classical Hall Liquid

Abstract

A non-relativistic plasma model endowed with an ``exotic'' structure associated with the two-parameter central extension of the planar Galilei group is constructed. Introducing a Chern-Simons statistical gauge field provides us with a self-consistent system; when the magnetic field takes a critical value determined by the extension parameters, the fluid becomes incompressible and moves collectively, according to the Hall law.

11 pages, LaTex, no figures. Revised version: Some details better explained. To appear in Int. Journ. Mod. Phys. B

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