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DY: Fachverband Dynamik und Statistische Physik
DY 15: Focus Session: Large Deviations and Rare Events II
DY 15.4: Vortrag
Montag, 9. März 2026, 16:00–16:15, ZEU/0114
Large deviations in response functions of the two-dimensional bond-diluted Ising model — •Lambert Münster1, Alexander K. Hartmann2, and Martin Weigel1 — 1Institut für Physik, TU Chemnitz, 09107 Chemnitz, Germany — 2Institut für Physik, Carl von Ossietzky Universität Oldenburg, 26129 Oldenburg, Germany
Studies in statistical physics are most commonly focused on the typical, average behavior of a system. However, there exist cases in which rare events can have a significant impact on physical properties. The Griffiths phase in systems with quenched disorder is one such example. In this case rare regions in the disorder degrees of freedom cause large tails in response functions of physical observables such as the magnetic susceptibility and the specific heat. In this study rare-region effects are investigated by analyzing the distributions of physical observables in the bond-diluted Ising model. In order to obtain these distributions over a wide range of their support, a special type of Markov chain Monte Carlo algorithm is utilized for sampling rare events [1].
[1] L. Münster, A. K. Hartmann and M. Weigel, Phys. Rev. E 110, 054112 (2024).
Keywords: Griffiths phase; large deviations; Monte Carlo simulation; quenched disorder; Ising model