On the determination of the mutual exclusion statistics parameter

Following the generalized definition of exclusion statistics to infinite-dimensional Hilbert space [Murthy and Shankar, Phys. Rev. Lett. 72, 3629 (1994)] for a single-component anyonic system, we derive a simple relation between second mixed virial coefficient and the mutual exclusion statistics parameters using high-temperature expansion method for multicomponent anyonic system. The above result is derived without working in a specific model and is valid in any spatial dimensions.