Berlin 2024 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Critical Phenomena and Phase Transitions

DY 7.2: Vortrag

Montag, 18. März 2024, 12:00–12:15, BH-N 128

Critical fluctuations at finite-time dynamical phase transition — •Nalina Vadakkayil¹, Massimiliano Esposito¹, and Jan Meibohm² — ¹Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg — ²Department of Mathematics, King’s College London, London WC2R 2LS, United Kingdom and Technische Universität Berlin, Straße des 17. Juni 135, 10623 Berlin, Germany

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets. The transition is characterized by a sudden switch in the relaxation dynamics and it occurs at a sharp critical time. While previous works have focused either on mean-field interactions or on investigating the properties of the critical time, we analyse the critical fluctuations at the phase transition in the nearest-neighbor Ising model using Monte Carlo simulations. By means of a finite-size scaling analysis, we extract the critical exponents for the finite-time dynamical phase transition. In two spatial dimensions, these exponents turn out to be neither mean-field nor the same as at equilibrium. Instead, they seem to lie outside of the known universality classes, potentially representing a novel, non-equilibrium critical phenomenon.

Keywords: Dynamical phase transition; Critical exponents; Non-equilibrium relaxation; Monte Carlo simulations; Finite-size scaling