Anomalous tag diffusion in the asymmetric exclusion model with particles of arbitrary sizes - art. no. 052102

摘要

Anomalous behavior of correlation functions of tagged particles are studied in generalizations of the one-dimensional asymmetric exclusion problem. In these generalized models the range of the hard-core interactions are chanced and the restriction of relative ordering of the particles is partially broken. The models probing these effects are those of biased diffusion of particles having size S = 0 1,2.... or an effective negative "size" S = -1,-2,...., in units of lattice space. Our numerical simulations show that irrespective of the range of the hard-core potential, as Iona some relative ordering of particles are kept, we find Suitable sliding-tag correlation functions whose fluctuations growth with time anomalously Slow (t(1/3)), when compared with the normal diffusive behavior (t(1/2)). These results indicate that the critical behavior of these stochastic models are in the Kardar-Parisi-Zhang (KPZ) universality class. Moreover a previous Bethe-ansatz calculation of the dynamical critical exponent z, for size Sgreater than or equal to0 particles is extended to the case S<0 and the KPZ result z = 3/2 is predicted for all values of S &ISIN; Z. [References: 18]