Dresden 2009 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Statistical physics II (general)
DY 7.4: Vortrag
Dienstag, 24. März 2009, 10:30–10:45, HÜL 386
Pair-factorized Steady States on Arbitrary Graphs — Bartlomiej Waclaw1, Julien Sopik2, Wolfhard Janke3, and •Hildegard Meyer-Ortmanns4 — 1Institute of Theoretical Physics, Leipzig University, 04009-Leipzig, Germany — 2SES, Jacobs University, 28725-Bremen, Germany — 3Institute of Theoretical Physics, Leipzig University, 04009-Leipzig, Germany — 4SES, Jacobs University, 28725-Bremen, Germany
A variety of stochastic processes out-of-equilibrium may be summarized under the name of stochastic mass transport models. We shall consider variations of mass transport models with interactions leading to pair-factorized steady states on arbitrary graphs. Usually the hopping rates are the primary quantities that are specified to model a given transport process, and the stationary states are determined thereafter. Here we consider the reverse question. Given a pair-factorized steady state over an arbitrary (connected) graph, we ask which hopping rates could have led to this state. We give an answer in terms of hopping rate classes that include frequently studied special cases. By construction all the hopping rates within one class lead to the same stationary state, but differ in their conserved current. For special cases we then present results on the phase structure in terms of liquid versus condensed phases. Finally, we shall indicate extensions towards full factorization over k-cells on arbitrary graphs, of which pairs (i.e. 2-cells) are just a special case.