How fractal defects can affect critical phenomena?

Xiaoping Wu and Wei Zhong

Physica A: Statistical Mechanics and its Applications, 2025, vol. 666, issue C

Abstract: We investigate the two-dimensional Ising model with fractal defects using Monte Carlo simulations. The defects are constructed in the form of a diffusion-limited aggregation shape. Our findings indicate that the presence of fractal defects does not change the critical temperatures across different defect concentrations. However, through an analysis of short-time dynamics, we observe that both the critical equilibrium exponents β, ν and γ, as well as the dynamical exponents z and θ, exhibit a strong dependence on the defect size concentration P. This suggests that the fractal defects alter the universality class of the system.

Keywords: Ising model; Short-time dynamics; Quenched disorder; Fractal defect; Monte Carlo simulations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:666:y:2025:i:c:s0378437125001839

DOI: 10.1016/j.physa.2025.130531

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