Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 42: Critical Phenomena and Phase Transitions

DY 42.4: Talk

Friday, March 18, 2011, 11:00–11:15, ZEU 255

A numerical study of self-avoiding walks (SAWs) on disordered two-dimensional lattices — •Niklas Fricke and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Germany

We revisit the long-standing problem of SAWs on diluted two-dimensional lattices at and above the percolation threshold, employing a Monte Carlo algorithm as well as a newly developed complete enumeration technique.

Some of the results are quite surprising, as they are in conflict with the Meir-Harris model [1], which is generally assumed to provide the qualitatively correct description for the scaling behaviour of SAWs on disordered lattices.

The widely held conviction that the exponents on the backbone are the same as on the full percolation cluster is also put under scrutiny.

[1] Y. Meir and A. B. Harris, Phys. Rev. Lett. 63, 26 (1989)