Static versus dynamic universality in the site-diluted kagome Ising model
Abstract
We study the site-diluted Ising model on the kagome lattice using the Wolff single-cluster algorithm, focusing on both equilibrium and dynamic critical properties. The equilibrium critical exponents ν= 1 and γ/ν= 7/4 retain their exact pure Ising values for all spin concentrations p considered, consistent with the marginal irrelevance of disorder at α= 0, with the specific heat crossing over from logarithmic to double-logarithmic growth upon dilution. These static results are shared between the kagome and square lattices. On the dynamic side, z decreases upon dilution on both lattice, opposite to what is observed under local dynamics, with evidence of saturation to a p-independent value at strong dilution, suggesting a diluted dynamic fixed point. While z is consistent between the two lattices in the pure case, it differs in the diluted regime, an effect we attribute to the two lattices sitting at different positions along the renormalization-group flow between the Ising and percolation fixed points, rather than to a true asymptotic breakdown of dynamic universality.
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BibTeX
@misc{vasilopoulos2026static,
title = {{Static versus dynamic universality in the site-diluted kagome Ising model}},
author = {Alexandros Vasilopoulos and Zeynep Demir Vatansever and Erol Vatansever and Gerard T. Barkema and Nikolaos G. Fytas},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36886},
eprint = {2609.36886},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36886},
}
RIS
TY - UNPB
TI - Static versus dynamic universality in the site-diluted kagome Ising model
AU - Alexandros Vasilopoulos
AU - Zeynep Demir Vatansever
AU - Erol Vatansever
AU - Gerard T. Barkema
AU - Nikolaos G. Fytas
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.36886
UR - https://arxiv.org/abs/2609.36886
AB - We study the site-diluted Ising model on the kagome lattice using the Wolff single-cluster algorithm, focusing on both equilibrium and dynamic critical properties. The equilibrium critical exponents ν= 1 and γ/ν= 7/4 retain their exact pure Ising values for all spin concentrations p considered, consistent with the marginal irrelevance of disorder at α= 0, with the specific heat crossing over from logarithmic to double-logarithmic growth upon dilution. These static results are shared between the kagome and square lattices. On the dynamic side, z decreases upon dilution on both lattice, opposite to what is observed under local dynamics, with evidence of saturation to a p-independent value at strong dilution, suggesting a diluted dynamic fixed point. While z is consistent between the two lattices in the pure case, it differs in the diluted regime, an effect we attribute to the two lattices sitting at different positions along the renormalization-group flow between the Ising and percolation fixed points, rather than to a true asymptotic breakdown of dynamic universality.
ER -