Equilibrium Fluctuations for the Totally Asymmetric Zero Range process

Abstract

We prove a Central Limit Theorem for the empirical measure in the one-dimensional Totally Asymmetric Zero-Range Process in the hyperbolic scaling $N$, starting from the equilibrium measure ${\nu }_{\rho }$. We also show that when taking the direction of the characteristics, the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across the characteristics to vanish in this longer time scale.

10 pages, no figures

References in corpus (3)

• Nonequilibrium Central Limit Theorem for a Tagged Particle in Symmetric Simple Exclusion
• Order of current variance and diffusivity in the rate one totally asymmetric zero range process
• Correction. Central limit theorems for additive functionals of the simple exclusion process

Cited by in corpus (1)

• The boundary driven zero-range process