Non-equilibrium Thermodynamics in the Driven Ising Model

The goal of this study is to observe the non-equilibrium behavior of simple quantum mechanical models, specifically the driven Ising model.

Most systems in nature spend most of their time away from thermodynamic equilibrium. Understanding their collective dynamics in these conditions is one of the most relevant problems in condensed-matter physics today. However, the problem poses a formidable challenge from the theoretical and computational standpoints, as the number of particles (or degrees of freedom) involved is extremely large. In an attempt to address this problem, python code can be written simulating the 3D and 2D Ising models with a constant magnetic field, H, imposed on the system. The energy, magnetization, specific heat, and susceptibility are calculated for each value of H. Each time this process is completed, H is increased and the calculations are performed again. The above defines the equilibrium properties of the system. To study the non-equilibrium counterparts, we will study two kinds of problems: introducing random magnetic fields and introducing spin dynamics in the Monte Carlo process.