Published April 9, 2026 | Version v1

Data and plotting scripts for: "A new Fractal Mean-Field analysis in phase transition"

  • 1. ROR icon Universidade de Brasília
  • 2. Brasilia University

Description

This repository contains the datasets used to generate the figures and the Python scripts used to reproduce the plots presented in the article “A new Fractal Mean-Field analysis in phase transition”. We also include instructions for running the Python scripts, as well as .qti files to be used with the QtiPlot software, which contain the associated figures and data.

The purpose of this deposit is to ensure transparency, reproducibility, and long-term accessibility of the figure data and code associated with the published work.

We used the same procedure to generate figure (2) of the paper "Scaling , fractal dynamics and critical exponents: Application in a noninteger-dimensional Ising Model, reference [2]. Further informations about how to obtain fractal dimensions via box counting method are described in reference [3].

 

 

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beta(d)_4.png

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Additional details

References

  • Ismael S. S. Carrasco, Henrique A. de Lima, Fernando A. Oliveira. "A new Fractal Mean-Field analysis in phase transition", https://doi.org/10.48550/arXiv.2511.20846, 2025.
  • Henrique A. de Lima, Ismael S. S. Carrasco, Marcio Santos and Fernando A. Oliveira. "Scaling, fractal dynamics, and critical exponents: Application in a noninteger-dimensional Ising model", https://doi.org/10.1103/rh4r-7mfv, 2025.
  • Henrique A. Lima, Edwin E. Mozo Luis, Ismael S. S. Carrasco, Alex Hansen and Fernando A. Oliveira. "Geometrical interpretation of critical exponents", https://doi.org/10.1103/PhysRevE.110.L062107, 2024.