Thermodynamic Bethe ansatz with Haldane statistics

We derive the thermodynamic Bethe ansatz equation for the situation in whic h the statistical interaction of a multi-particle system is governed by Hal dane statistics. We formulate a macroscopical equivalence principle for suc h systems. Particular CDD, ambiguities play a distinguished role in compens ating the ambiguity in the exclusion statistics. We derive Y-systems relate d to generalized statistics. We discuss several fermionic, bosonic and anyo nic versions of affine Toda field theories and Calogero-Sutherland type mod els in the context of generalized statistics. (C) 1998 Elsevier Science B.V .