ESAIM Probability and Statistics March Vol pp SPECTRAL GAP FOR AN UNRESTRICTED KAWASAKI TYPE DYNAMICS

Abstract We give an accurate asymptotic estimate for the gap of the generator of a particular interacting particle system The model we consider may be informally described as follows A certain number of charged particles moves on the segment L N according to a Markovian law If k Zis the charge at a site k L N one unitary charge positive or negative jumps to a neighboring site k at a rate which depends on the charge at site k and at site k The total charg