Regensburg 2025 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 6: Critical Phenomena and Phase Transitions
DY 6.4: Vortrag
Montag, 17. März 2025, 12:15–12:30, H47
Analysis of the Mpemba effect in magnetic systems — •Janett Prehl and Martin Weigel — Technische Universität Chemnitz, Chemnitz, Deutschland
The Mpemba effect, first discovered by Mpemba and Osborne for water [1], is observed when a hot sample cools faster than an initially colder one, when both are refrigerated in the same thermal reservoir. During the last years this effect has also been found to take place in the general context of magnetic phase transitions of different orders [2−4]. Here, we investigate and discuss the occurrence of this non-equilibrium process for different ferromagnetic models exhibiting a phase transition at a critical temperature Tc. We aim to analyze how different initial temperatures, structural properties or updating dynamics influence the time behavior of quantities such as energy per spin ⟨ e ⟩ or the average domain length ℓ for different system sizes L to get a deeper insight in the occurring mechanism of the Mpemba effect for the systems under consideration.
[1] E.B. Mpemba and D.G. Osborn, Phys. Educ. 4:172 (1969)
[2] M. Baity-Jesi, et al., PNAS, 116:15350 (2019)
[3] N. Vadakkayil, S.K. Das, Phys. Chem. Chem. Phys., 23:11186 (2021)
[4] A.K. Chatterjee, S. Takada, H. Hayakawa, Phys. Rev. Lett., 131:080402 (2023)
Keywords: Mpemba effect; Ising spin model; Monte Carlo simulation; Phase transition; Nonequilibrium processes