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Regensburg 2025 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Poster: Statistical Physics

DY 22.15: Poster

Mittwoch, 19. März 2025, 10:00–12:00, P3

Harnessing finite-size effects to gauge aging in the 2D Ising model — •Dustin Warkotsch1,2, Malte Henkel2,3, and Wolfhard Janke11Institut für Theoretische Physik, Universität Leipzig, Leipzig, Germany — 2Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine, Nancy, France — 3Centro de Física Teórica e Computacional, Universidade de Lisboa, Lisbon, Portugal

The finite-size effects in a 2D Ising model with nearest-neighbor interactions are investigated at low temperature with respect to the two-time autocorrelation function C(t,s), where t is the observation and s the waiting time. Using a finite-size scaling ansatz established for the spherical model linking the resulting plateaus in C(t,s) to waiting time s and lattice size L, a precise and reproducible estimation for the autocorrelation exponent λ and dynamical exponent z is developed.

Keywords: Monte Carlo simulation; Physical aging; Ising model; Finite-size effects

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