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DY: Fachverband Dynamik und Statistische Physik
DY 82: Glasses and Glass Transition (joint session DY/CPP)
DY 82.4: Talk
Friday, March 16, 2018, 10:45–11:00, BH-N 334
Analytical solution of the spin model on the Bethe lattice — •Koray Önder1,2, Till Kranz1,2, and Matthias Sperl1,2 — 1Institut für Theoretische Physik, Uni Köln — 2Institut für Materialphysik im Weltraum, DLR Köln
The cooperative facilitation scenario (CFS) on the Bethe lattice shows similarities in the correlation functions with the mode coupling theory (MCT). The first studies by fitting some critical exponents on the CFS are in good agreement with the MCT predictions [1].
The fact that the CFS on the Bethe lattice yields a bifurcation scenario can be used to describe the asymptotic dynamics of the system. As a result we obtain analyticaly exact predictions for the critical exponents and the master function.
[1] M. Sellitto, Phys. Rev. Lett. 115, 225701 (2015)