Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Poster Session I

DY 6.8: Poster

Monday, March 22, 2010, 16:00–18:00, Poster B2

Domain walls and optimal droplets in the SOS model — •Karsten Schwarz and Heiko Rieger — Theoretische Physik, Universität des Saarlandes

Domain walls, optimal droplets and disorder chaos at zero temperature are studied numerically for the solid-on-solid model on a random substrate. The ensemble of random curves represented by the domain walls obeys Schramm’s left passage formula with κ=4 (or κ≈ 3 for two ends not fixed) whereas their fractal dimension is d_s=1.25, and therefore their behaviour can’t be described by a Schramm-Loewner evolution. We also investigated optimal droplets with a lateral size between L and 2L and detected the same fractal dimension as we found for the domain walls above. But the energy for these low excited states saturates at a value of O(1) for L→∞. So arbitrarily large excitations exist which cost only a small amount of energy.