Banca de QUALIFICAÇÃO: Henrique Alves de Lima

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : Henrique Alves de Lima
DATE: 05/07/2024
TIME: 14:00
LOCAL: Remoto Teams
TITLE:

Fisher’s exponent understood in light of fractal dynamics in phase transition.

KEY WORDS:

Statistical Physics, Fractals, Fisher’s Exponent, Ising Model, Critical Dynamics, Spins.

PAGES: 35
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

In this work we develop the hypothesis that the dynamics of a given system can cause the activity to be restricted to a subset of the space, characterized by a fractal dimension df smaller than the spatial dimension d. In this way we recover the fluctuation-dissipation theorem near a phase transition. We also explain the origin of the Fisher exponent and discuss how the response function can be sensitive to the change in dimensionality, which affects all critical exponents. We discuss how this phenomenon is observable in growth processes and near critical points for systems in equilibrium. In particular, we we determined the fractal dimension df for the disordered Ising model and validated it through computational simulations for two dimensions using parallel programming.

COMMITTEE MEMBERS:
Interno - 407633 - DAVID LIMA AZEVEDO
Presidente - 3245021 - ISMAEL SEGUNDO DA SILVA CARRASCO
Externo à Instituição - MÁRCIO SAMPAIO GOMES FILHO - UFABC