Berlin 2008 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster II
DY 29.22: Poster
Thursday, February 28, 2008, 16:00–18:00, Poster C
Features of Preferential Trapping on Energy Landscapes — •Andreas Fischer1, Karl Heinz Hoffmann1, and Christian Schön2 — 1TU Chemnitz, D-09107 Chemnitz, Germany — 2Max-Planck-Institut für Festkörperforschung, D-70569 Stuttgart, Germany
Understanding complex systems is a very important task as they occur in various situations. The wealth of different temporal phenomena which have been observed in such systems needs to be understood in detailed analysis of the connectivity and the respective time scales of the transitions in the state space.
The hierarchical tree model has proven to be highly suitable for the description of a complex system's state space. as its capabilities were tested in various scenarios. The dynamics in such a hierarchical system is governed by the flow of probability and the points where the tree structure branches out. This flow of probability is determined by different factors which need to be discussed in detail.
The research presented here deals with a split of a probability flow when it runs towards the more branched out parts of a tree structure. It is this special probability splitting which determines in the sequence of successive branches what the overall time behavior of a system will be. While such an analysis has already been made for systems with very special exponential densities of state we here expand our analysis to the more general case of polynomial densities of states and investigate what the differences in the behavior of the branching probability flows are. We observe new and unexpected behavior towards different phenomena which have not yet been reported before.