Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Poster II
DY 30.12: Poster
Thursday, March 29, 2007, 16:00–18:00, Poster D
The target decay on irregular networks — •mircea galiceanu and alexander blumen — Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany
We investigate the survival probability of immobile targets, which get annihilated by random walkers at first encounter. As irregular lattices we focus on scale free networks [1] and on small world networks [1], [2]. For scale free networks we consider two kinds of degree distributions (number of nearest neighbors) with long time-tails. In the first case we start the degree distribution from degree 1, while in the second case from degree 2. It turns out that the survival probability and the quality of its description through the average number of distinct sites visited, Sn, depend on the details of the degree distribution: networks which are more ramified (the first situation) have survival probabilities which are more regular, whereas the scale free networks with long chain-like segments (the second case) display decay laws similar to those of small world networks, where a description only in terms of Sn is rather poor.
[1] Galiceanu M and Blumen A, J. Phys. A, in press
[2] Jasch F and Blumen A J. Chem. Phys. 117, 2474, (2002)