2-6 octubre 2023
Universidad de los Andes / Universidad Nacional de Colombia
America/Bogota timezone

Theoretical Determination of Phase Diagrams using the Ising Model and Mean-Field Renormalization Groups (MFRG) with Machine Learning Tools and Monte Carlo Simulation

6 oct. 2023 11:10
20m
A1 - edificio 564 (Universidad Nacional de Colombia)

A1 - edificio 564

Universidad Nacional de Colombia

Oral Statistical Physics Contributed talks

Ponente

Juan Esteban Bedoya Rodriguez (Universidad del Valle)

Descripción

Using the mean-field renormalization group method (MFRG) and starting from the Ising Hamiltonian, magnetic phase diagrams were successfully reproduced in various systems composed of different types of magnetic atoms, such as FeMnAl, FeNiMn, and FeAl alloys. Quadratic errors we obtained below 0.016, and a preliminary approximation of the binding energy between atoms of this type was achieved. These latter alloys are of special interest since, due to their relative simplicity, they enable the implementation of machine learning when adjusting the phase diagram. This leads to a binding energy obtained through this method. Subsequently, this energy is introduced into a Monte Carlo simulation using the Metropolis algorithm.
In summary, the significance of this work lies not only in the discovery of a theoretical method for finding magnetic phase diagrams but also in the possibility of approximating the functional form of the binding energy in the Ising model.Additionally, it achieves the implementation of machine learning in this field of physics.
It should be noted that I prefer to present this work in the form of a presentation or talk.

Autor primario

Juan Esteban Bedoya Rodriguez (Universidad del Valle)

Coautor

Dr Leon Dario Escobar Diaz (Universidad del Valle)

Materiales de la presentación

Todavía no hay materiales.