Monte Carlo simulations of the Ising model

The book explores thermodynamic properties of classical one- and two-dimensional Ising models on a square lattice, focusing on phase transitions through Monte Carlo simulations. It addresses finite size effects and the impact of external magnetic fields, determining the critical temperature of the 2D ferromagnetic model via finite size scaling. Additionally, it provides a recap of statistical mechanics concepts and outlines the fundamental principles of Monte Carlo methods, making it a comprehensive resource for understanding these models in statistical physics.