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.