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We show that the particles in the Calogero-Sutherland Model obey fractionalexclusion statistics as defined by Haldane. We construct anyon number densitiesand derive the energy distribution function. We show that the partitionfunction factorizes in the form characteristic of an ideal gas. The virialexpansion is exactly computable and interestingly it is only the second virialcoefficient that encodes the statistics information.Comment: 10pp, REVTE

Thermodynamics of a One-Dimensional Ideal Gas with Fractional Exclusion Statistics