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Pierobon, Paolo; Parmeggiani, Andrea; Oppen, Felix von; Frey, Erwin (September 2005): Dynamic correlation functions and Boltzmann-Langevin approach for driven one-dimensional lattice gas. In: Physical Review E, Vol. 72, Nr. 3: 036123-1-036123-10
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Abstract

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.