Modeling Interactions in Statistical Physics

This lecture delves into the modeling of interactions in statistical physics, focusing on the extensive energy and magnetization. The instructor explains the concept of magnitization and its relation to the solution of the model. The lecture covers the exact solution of the model, the function partition, and the manipulation of terms to linearize spins. It also explores the emergence of order parameters and the critical exponents in phase transitions. The discussion extends to the spontaneous magnetization, critical temperatures, and susceptibility in different dimensions, providing insights into the behavior of physical systems.