Regensburg 2004 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.5: Poster

Donnerstag, 11. März 2004, 16:00–18:00, Poster D

Dynamics and shock formation in an exclusion process with creation and annihilation — •Róbert Juhász¹, Martin Evans², and Ludger Santen¹ — ¹Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany — ²School of Physics, University of Edinburgh, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom

We investigate an asymmetric exclusion process with creation and annihilation of particles in the bulk. We show how the continuum mean-field equations can be studied analytically and hence derive the phase diagrams of the model. Fluctuations of the shock position are also investigated by using a phenomenological random walk picture of the shock dynamics. The case where bulk creation- and annihilation rates vanish faster than the inverse of the system size N is also analyzed. We point out that shock localization is possible even for rates proportional to N^−a, 1<a<2. The maximum current phase is studied by means of scaling arguments and numerical simulation. Here, the length- and the time scale are found to be finite as opposed to the algebraically decaying correlations of the totally asymmetric simple exclusion process (TASEP). Critical exponents of the transition to the TASEP are determined.