This unit uses the fundamental Boltzmann distribution function, in which probability of an individual microscopic state is determined by the energy of that state and the overall system temperature. The translation from the microscopic to macroscopic worlds is done by way of statistical averaging. However, the system is easily investigated using computer simulations. The entire state of the system is simulated, allowing direct measurements of quantities like magnetization and correlations for various temperatures. However, without the simplifications, the calculations would be impossible, and nothing would be learned.
Simplified models are often the only way to gain insight into complicated systems.
The same thing happens in the real world. These are intended to provide background material for the computational components. These components are described in a bit mode detail below. The Ising Model is introduced providing a simple picture for magnetization, and the basic concepts of Monte Carlo simulations to study the system are presented. Monte Carlo procedure used in the Ising Model code is given.