Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 8: Critical Phenomena and Phase Transitions
DY 8.4: Vortrag
Montag, 31. März 2014, 15:45–16:00, ZEU 118
Non-equilibrium box overlap in spin glasses — •Markus Manssen1, Alexander K. Hartmann1, and A. Peter Young2 — 1Carl-von-Ossietzky Universität Oldenburg, Germany — 2University of California, Santa Cruz, USA
One of the most prominent questions in the theory of spin glasses is the extent to which the mean field solution applies in more realistic situations such as three dimensions. Although not all properties of the mean field solution are reproduced in in three-dimensional systems, numerical simulations indicate that the distribution P(q) of spin overlaps does resemble that in mean field theory, and the same seems to hold for overlaps in small cubic boxes of side length B. Here we have studied box overlaps in the non-equilibrium regime to investigate what changes occur when the range of correlations, initially very small, grows with time and eventually exceeds the box size. We performed long time simulations over 108 time steps of the 3D Edwards-Anderson model of size 1283 with binary couplings by utilizing general purpose GPU programming, which allows us to reach single-spin-flip times of 8ps. We measured the growing correlations and box overlaps. Additionally we simulated smaller systems to see what changes in the box overlaps occur when the whole system equilibrates.