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cond-mat.stat-mech2026
Scale invariance, fractal dynamics, and critical exponents at the phase transition
Henrique Alves de Lima
We propose that, at criticality, equilibrium dynamics effectively evolves on a fractal subspace rather than throughout the full Euclidean space. Starting from Fisher's formulation…
cond-mat.stat-mech2025
A new Fractal Mean-Field analysis in phase transition
Ismael S. S. Carrasco, Henrique A. de Lima, Fernando A. Oliveira
Understanding phase transitions requires not only identifying order parameters but also characterizing how their correlations behave across scales. By quantifying how fluctuations…