Dresden 2011 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 15: ISPS Intersectional Poster Session
DY 15.11: Poster
Tuesday, March 15, 2011, 18:00–20:00, P1
Investigation of a highly frustrated point packing problem — Frederic Alexander Stein1, Sebiha Sahin1, Andre Müller1, Michael Kwasnicki1, Tobias Preis1, Elmar Schömer1, Ingo Morgenstern2, and •Johannes Josef Schneider1 — 1Department of Physics, Mathematics, and Computer Science, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany — 2Faculty of Physics, University of Regensburg, 93040 Regensburg, Germany
We consider a highly frustrated point packing problem. The task of this problem is to place a proposed number of points on the nodes of a square lattice in the way that the radius of the circumcircle around the points is minimized and that each Euclidean distance value between each pair of points only occurs once. We show that this latter constraint leads to a large frustration effect by comparison with the corresponding un-frustrated system. We solve this problem by using simulated annealing, study the dynamics of the cooling process, and demonstrate that this problem exhibits interesting features, including scaling laws for the radius of the circumcircle and for the distribution of points [1].
[1] Frédéric Alexander Stein, Sebiha Sahin, André Müller, Michael Kwaśnicki, Tobias Preis, Elmar Schömer, Ingo Morgenstern, and Johannes Josef Schneider, Investigation of a highly frustrated point packing problem, submitted to Physical Review E, 2010.