Regensburg 2004 – wissenschaftliches Programm
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AKB: Biologische Physik
AKB 50: Poster Session "Biological Physics"
AKB 50.103: Poster
Freitag, 12. März 2004, 10:30–13:00, B
Correlation functions and Boltzmann Langevin approach for driven one dimensional lattices gases — •Paolo Pierobon1,2, Felix Von Oppen2, Andrea Parmeggiani1, and Erwin Frey1,2 — 1Hahn-Meitner Institut, Abteilung Theorie, Glienicker Str.100, D-14109 Berlin, Germany — 2Fachbereich Physik, Freie Universitaet Berlin, Arnimallee 14, D-14195 Berlin, Germany
The Totally Asymmetric Simple Exclusion Process (TASEP) is a simple one dimensional driven lattice gas model. It may serve as a simplified model highlighting some aspects of traffic flow and biological transport phenomena, e.g. motion of molecular motors on microtubules. At the same time it has become a paradigm of non-equilibrium systems which exhibit dynamic phase transitions driven by the boundaries. Although the stationary density profile has been understood for long time, the time dependent properties are still under investigation. We study the dynamic correlation function of the particle density in such a system using real time Monte Carlo simulations. In certain regimes the results can be rationalized using a Boltzmann-Langevin approach i.e. adding a fluctuating current to the mean field equation in a phenomenological way. We also analyze our results within the "domain wall" picture, where a “shock” separates two phases and fluctuates as a Brownian walker with reflective boundary conditions. Critical exponents are measured with great accuracy from the properties of autocorrelation function at the critical point (where three phases coexist), and in the maximal current phase. The results corroborate that the system, in such conditions, belongs to the KPZ universality class.