5 papers
Scaling, fractal dynamics, and critical exponents in the equilibrium phase transition
Adauto F. Souza, Henrique A Lima, Anderson L. R. Barbosa +1
Statistical methods are essential for understanding thermodynamic systems with many degrees of freedom. For systems in equilibrium, a very useful method is that of correlation func…
Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder
Marcos A. A. de Sousa, Heitor R. Publio, Henrique A. de Lima +3
Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifrac…
Fractal signatures of strong universality in the disordered Ising model
Henrique A Lima, Kaue Hermann, Ismael S. S. Carrasco +2
Disordered systems are very rich laboratories for exploring complex systems. In particular, disordered magnetic systems have been extremely important in the last five decades for u…
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…
Scaling, Fractal Dynamics and Critical Exponents: Application in a non-integer dimensional Ising model
Henrique A. de Lima, Ismael S. S. Carrasco, Marcio Santos +1
Moving beyond simple associations, researchers need tools to quantify how variables influence each other in space and time. Correlation functions provide a mathematical framework f…