Monte Carlo Methods applied to the Ising model

The book delves into the simulation of thermodynamic observables in classical one- and two-dimensional Ising models, focusing on ferromagnetic and antiferromagnetic behaviors on a square lattice. It employs the Metropolis Monte Carlo algorithm to analyze phase transitions and examines finite size effects alongside the impact of external magnetic fields. Additionally, it details the determination of the critical temperature for the two-dimensional ferromagnetic Ising model through finite size scaling techniques.