FRACTIONAL EXCLUSION STATISTICS FOR THE MULTICOMPONENT SUTHERLAND MODEL

We show by microscopic calculation that thermodynamics of the multicom ponent Sutherland model is equivalent to that of a free particle syste m with fractional exclusion statistics at all temperatures. The parame ters for exclusion statistics are given by the strength of the repulsi ve interaction, and have both intra- and inter-species components. We also show that low temperature properties of the system are described in terms of free fractional particles without the statistical paramete rs for different species. The effective exclusion statistics for intra -species at low temperatures depend on polarization of the system.