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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • Ising spin glass (ISG) models are crucial for understanding complex magnetic systems.
  • Previous research focused on Gaussian and discrete bimodal interaction distributions in 2D ISG models.
  • Universality classes in statistical physics describe systems with similar critical behavior.

Purpose of the Study:

  • To analyze and compare critical exponents of various continuous and discrete interaction distribution models in 2D ISG systems.
  • To determine if continuous and discrete models belong to the same or different universality classes.
  • To investigate the universality of 2D ISG models with different interaction distributions.

Main Methods:

  • Extensive simulations and data analysis of 2D ISG models.
  • Comparison of critical exponents (η and ν) across different interaction distribution models.
  • Statistical analysis to determine universality class membership.

Main Results:

  • Three continuous distribution models (Gaussian, uniform, Laplacian) share the same critical exponents (η=0, ν) and belong to a single universality class.
  • Four discrete distribution models (bimodal, diluted bimodal, antidiluted, symmetric Poisson) exhibit different critical exponents compared to continuous models.
  • Data strongly suggest that discrete distribution models differ from each other and have non-zero η values, indicating they do not belong to a single universality class.

Conclusions:

  • Continuous interaction distribution models in 2D ISG systems fall under a single universality class.
  • Discrete interaction distribution models in 2D ISG systems do not belong to a single universality class and exhibit model-dependent critical behavior.
  • The nature of the interaction distribution (continuous vs. discrete) significantly impacts the universality class of 2D ISG models.