CONDENSATION IN DENSITY DEPENDENT ZERO RANGE PROCESSES

Abstract

We consider zero range processes with density dependent jump rates g given by g = g(n, k) = g1(n)g2(k/n) with g1(x) = x ?α and In this case, with 1/2 0, we show that non-complete condensation occurs with maximum cluster size an. More precisely, for any _ > 0, there exists M*> 0 such that, for any 0 > 1) and supports the instability of the condensation transition.