Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 25: Statistical Physics II (General)
DY 25.5: Vortrag
Dienstag, 13. März 2018, 11:00–11:15, BH-N 243
Interplay of fast and slow degrees of freedom in the disk to slab transition — •Andreas Tröster1, Clemens Moritz2, and Christoph Dellago2 — 1Institute of Materials Chemistry, TU Wien, Getreidemarkt 9, 1060 Wien, Austria — 2Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
Rare transitions between long-lived stable states are often analyzed in terms of free energy landscapes computed as functions of a few collective variables. Here, using transitions between geometric phases as example, we demonstrate that the effective dynamics of a system along these variables are an essential ingredient in the description of rare events and that the static perspective provided by the free energy alone may be misleading. In particular, we investigate the disk-to-slab transition in the two-dimensional Ising model starting with a calculation of a two-dimensional free energy landscape and the distribution of committor probabilities. While at first sight it appears that the committor is incompatible with the free energy, they can be reconciled with each other using a two-dimensional Smoluchowski equation that combines the free energy landscape with state dependent diffusion coefficients. These results illustrate that dynamical information is not only required to calculate rate constants, but may also be necessary to understand how a given process occurs.