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

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

2005-03-15

arxiv.org/abs/cond-mat/0503360v2

Phys. Rev. E 72, 036123 (2005)

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 9 figures

Scientific paper

10.1103/PhysRevE.72.036123

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 regime 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.

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