We present a framework for treating the statistical mechanics of systems including several species of particles with a statistical interaction between particles of different species. The statistical interaction is assumed to occur only between particles with the same momentum. Generalization of fractional statistics in one dimension to the case of several species of particles is discussed.
We discuss the thermodynamics of a gas of free particles obeying Haldane's exclusion statistics, deriving low temperature and low density expansions.For gases with a constant density of states, we derive an exact equation of state and find that temperature-dependent quantities are independent of the statistics parameter.
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