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Communication: Weakening the critical dynamical slowing down of models with SALR interactions.

Publication ,  Journal Article
Zheng, M; Tarzia, M; Charbonneau, P
Published in: The Journal of chemical physics
November 2022

In systems with frustration, the critical slowing down of the dynamics severely impedes the numerical study of phase transitions for even the simplest of lattice models. In order to help sidestep the gelation-like sluggishness, a clearer understanding of the underlying physics is needed. Here, we first obtain generic insight into that phenomenon by studying one-dimensional and Bethe lattice versions of a schematic frustrated model, the axial next-nearest neighbor Ising (ANNNI) model. Based on these findings, we formulate two cluster algorithms that speed up the simulations of the ANNNI model on a 2D square lattice. Although these schemes do not eliminate the critical slowing own, speed-ups of factors up to 40 are achieved in some regimes.

Duke Scholars

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Published In

The Journal of chemical physics

DOI

EISSN

1089-7690

ISSN

0021-9606

Publication Date

November 2022

Volume

157

Issue

18

Start / End Page

181103

Related Subject Headings

  • Computer Simulation
  • Communication
  • Cluster Analysis
  • Chemical Physics
  • Algorithms
  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences
 

Citation

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Zheng, M., Tarzia, M., & Charbonneau, P. (2022). Communication: Weakening the critical dynamical slowing down of models with SALR interactions. The Journal of Chemical Physics, 157(18), 181103. https://doi.org/10.1063/5.0120634
Zheng, Mingyuan, Marco Tarzia, and Patrick Charbonneau. “Communication: Weakening the critical dynamical slowing down of models with SALR interactions.The Journal of Chemical Physics 157, no. 18 (November 2022): 181103. https://doi.org/10.1063/5.0120634.
Zheng M, Tarzia M, Charbonneau P. Communication: Weakening the critical dynamical slowing down of models with SALR interactions. The Journal of chemical physics. 2022 Nov;157(18):181103.
Zheng, Mingyuan, et al. “Communication: Weakening the critical dynamical slowing down of models with SALR interactions.The Journal of Chemical Physics, vol. 157, no. 18, Nov. 2022, p. 181103. Epmc, doi:10.1063/5.0120634.
Zheng M, Tarzia M, Charbonneau P. Communication: Weakening the critical dynamical slowing down of models with SALR interactions. The Journal of chemical physics. 2022 Nov;157(18):181103.

Published In

The Journal of chemical physics

DOI

EISSN

1089-7690

ISSN

0021-9606

Publication Date

November 2022

Volume

157

Issue

18

Start / End Page

181103

Related Subject Headings

  • Computer Simulation
  • Communication
  • Cluster Analysis
  • Chemical Physics
  • Algorithms
  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences