Analytical and computational development of Ising models in non-magnetic contexts

• Grant number: 24/16972-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2024
• End date: October 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Leonardo Trivellato Rolla
• Grantee: Henrique Felix de Souza Machado
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 23/13453-5 - Stochastic systems modeling, AP.TEM

Abstract

Models of interacting systems are applicable in several areas because they deal with various stochastic processes, with the Ising model of magnetism as a canonical reference. Their study usually uses theoretical-analytical methods, deriving their properties through probability theory, and computational methods, reproducing their behavior through simulations. This project proposes to employ both methods to study possibilities of applying the Ising model to systems other than magnetism (e.g., biological and social), investigating variations, modifications and extensions of this model, as well as connections with other interacting systems.