Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 47: Statistical Physics: General I
DY 47.5: Talk
Thursday, March 12, 2026, 10:30–10:45, ZEU/0114
Scaling of the Mpemba effect in the Ising model — •Janett Prehl and Martin Weigel — Institute of Physics, Technisch Universität Chemnitz, Chemnitz, Germany
The Mpemba effect – originally observed by Mpemba and Osborne for water [1] – describes the counterintuitive situation in which a hotter system relaxes faster than an initially colder one when both are instantaneously brought into contact with the same (cold) reservoir. Lately this phenomenon has been identified in various systems undergoing phase transitions [2−4]. Here, we investigate the Mpemba effect in the 2D Ising model with a critical temperature Tc. Using Monte Carlo simulations with different update dynamics, we study how initial temperatures and different initial magnetization influence the coarsening dynamics of different structural properties while quenching below Tc. In detail we investigate observables such as the energy per spin ⟨ e ⟩ and the average domain length ⟨ ℓ ⟩. While Mpemba-like curve crossings appear for several conditions, they occur in the finite-size limited regime and weaken with increasing system size L. In contrast, non-zero initial magnetization enhances the effect, producing robust inversions in relaxation behavior.
[1] E. B. Mpemba and D. G. Osborn, Phys. Educ. 4 (1969) 172.
[2] M. Baity-Jesi et al., PNAS 116 (2019) 15350.
[3] N. Vadakkayil and S. K. Das, Phys. Chem. Chem. Phys. 23 (2021) 11186.
[4] A. K. Chatterjee, S. Takada, and H. Hayakawa, Phys. Rev. Lett. 131 (2023) 080402.
Keywords: Mpembe effect; scaling properties; quench process; Ising; coarsening dynamics