2 9 O ct 1 99 7 The asymmetric exclusion process : Comparison of update procedures
نویسندگان
چکیده
The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model for nonequilibrium systems. Here we study the ASEP for different types of updates, namely random-sequential, sequential, sublattice-parallel and parallel. In order to compare the effects of the different update procedures on the properties of the stationary state, we use large-scale Monte Carlo simulations and analytical methods, especially the so-called matrix-product Ansatz (MPA). We present in detail the exact solution for the model with sublattice-parallel and sequential updates using the MPA. For the case of parallel update, which is important for applications like traffic flow theory, we determine the phase diagram, the current, and density profiles based on Monte Carlo simulations. We furthermore suggest a MPA for that case and derive the corresponding matrix algebra.
منابع مشابه
3 1 O ct 1 99 7 The asymmetric exclusion process : Comparison of update procedures
The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model for nonequilibrium systems. Here we study the ASEP for different types of updates, namely random-sequential, sequential, sublattice-parallel and parallel. In o...
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متن کاملun 2 00 6 t 1 / 3 Superdiffusivity of Finite - Range Asymmetric Exclusion Processes on Z Jeremy Quastel
We consider finite-range asymmetric exclusion processes on Z with non-zero drift. The diffusivity D(t) is expected to be of O(t1/3). We prove that D(t) ≥ Ct1/3 in the weak (Tauberian) sense that ∫∞ 0 e −λttD(t)dt ≥ Cλ−7/3 as λ → 0. The proof employs the resolvent method to make a direct comparison with the totally asymmetric simple exclusion process, for which the result is a consequence of the...
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