Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: ISPS Intersectional Poster Session

DY 15.10: Poster

Tuesday, March 15, 2011, 18:00–20:00, P1

Magic Squares in a Heatbath — •Christoph Schuster and Johannes Josef Schneider — Department of Physics, Mathematics, and Computer Science, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany

Magic squares are fascinating objects with interesting properties. In this presentation, we demonstrate how simulated annealing is applied to the problem of ordering integer numbers on a square lattice in order to create a magic square. We show that the cooling process exhibits interesting properties including power laws and that the usage of simulated annealing allows a straightforward extension of this approach to magic squares with constraints, like the retaining water problem.