Superdiffusion-like behavior in zero-temperature coarsening of the d = 3 Ising model

Denis Gessert, Henrik Christiansen, Wolfhard Janke

Research output: Contribution to journalArticlepeer-review

5 Downloads (Pure)

Abstract

One key aspect of coarsening following a quench below the critical temperature is domain growth. For the non-conserved Ising model a power-law growth of domains of like spins with exponent α = 1/2 is predicted. Including recent work, it was not possible to clearly observe this growth law in the special case of a zero-temperature quench in the three-dimensional model. Instead a slower growth with α < 1/2 was reported. We attempt to clarify this discrepancy by running large-scale Monte Carlo simulations on simple-cubic lattices with linear lattice sizes up to L = 2048 employing an efficient GPU implementation. Indeed, at late times we measure domain sizes compatible with the expected growth
law—but surprisingly, at still later times domains even grow superdifusively, i.e., with α > 1/2. We argue that this new problem is possibly caused by sponge-like structures emerging at early times.
Original languageEnglish
Article number13270 (2023)
Number of pages8
JournalScientific Reports
Volume13
DOIs
Publication statusPublished - 15 Aug 2023

Bibliographical note

This article is licensed under a Creative Commons Attribution 4.0 International
License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this
article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Funder

This project was funded by the Deutsche Forschungsgemeinschaf (DFG, German Research Foundation) under project Nos. JA 483/33-1 and 189 853 844-SFB/TRR 102 (project B04), and the Deutsch-Französische Hochschule (DFH-UFA) through the Doctoral College “L4” under Grant No. CDFA-02-07. The n-fold way calculations were performed using the Sulis Tier 2 HPC platform hosted by the Scientific Computing Research Technology Platform at the University of Warwick. Sulis is funded by EPSRC Grant EP/T022108/1 and the HPC Midlands+ consortium.

Keywords

  • Computational science
  • Ferromagnetism
  • Phase transitions and critical phenomena
  • Statistical physics

Fingerprint

Dive into the research topics of 'Superdiffusion-like behavior in zero-temperature coarsening of the d = 3 Ising model'. Together they form a unique fingerprint.

Cite this