Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Poster I
DY 12.37: Poster
Tuesday, March 24, 2009, 14:30–16:30, P1A
Preferential Trapping in State Space Dynamics — •Andreas Fischer1, Karl Heinz Hoffmann1, and Christian Schön2 — 1TU Chemnitz, D-09107 Chemnitz, Germany — 2Max-Planck-Institut für Festkörperforschung, D-70569 Stuttgart, Germany
The understanding of complex systems' dynamics is the basis for a successful modeling of a large variety of experimental results. This requires a in detailed analysis of the connectivity and the respective time scales of the transitions in the state space.
The hierarchical tree has proven to be a very useful model for a complex system's state space, as its capabilities have been frequently tested. The dynamics in such a hierarchical system is governed by the flow of probability and the tree's branching points, which is determined by different factors which need to be discussed in detail.
The research presented here analyzes the distribution of the probability when it flows towards the tree structures leafs. It is the way of this probability splitting which determines the over all time behavior. In this work the analysis is being expanded to more general approaches for the density of states.