6 papers
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…
Strong universality class in disordered systems
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…
Dimensional crossover in surface growth on rectangular substrates
Ismael S. S. Carrasco, Tiago J. Oliveira
In a recent work [Phys. Rev. E 109, L042102 (2024)], interesting dimensional crossovers [from two- to one-dimensional (2D to 1D) scaling] were found in the growth of Kardar-Parisi-…
Non-monotonic roughness evolution in film growth on weakly interacting substrates
Dmitry Lapkin, Ismael S. S. Carrasco, Catherine Cruz Luukkonen +5
Thin film deposition on weakly interacting substrates exhibits a unique growth mode characterized by initially strong island formation and rapidly increasing roughness, which reach…
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…
A geometrical interpretation of critical exponents
Henrique A. Lima, Edwin E. Mozo Luis, Ismael S. S. Carrasco +2
We develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the…