Dynamic correlation functions and Boltzmann-Langevin approach for driven one-dimensional lattice gas

We study the dynamics of the totally asymmetric exclusion process
with open boundaries by phenomenological theories complemented by
extensive Monte Carlo simulations. Upon combining domain wall
theory with a kinetic approach known as Boltzmann-Langevin theory
we are able to give a complete qualitative picture of the dynamics
in the low- and high-density regimes and at the corresponding phase
boundary. At the coexistence line between high- and low-density
phases we observe a time scale separation between local density
fluctuations and collective domain wall motion, which are well
accounted for by the Boltzmann-Langevin and domain wall theory,
respectively. We present Monte Carlo data for the correlation
functions and power spectra in the full parameter range of the
model.