Dynamics of 2D Ising Model in Linearly Varying Magnetic Field
This event is part of the Preliminary Oral Exam.
Examining Committee: Anders Sandvik, Richard Averitt, Claudio Rebbi, Anatoli Polkovnikov
Abstract: The Kibble-Zurek mechanism describes non-equilibrium dynamical behaviour in a system which is driven out of equilibrium at some finite rate. As some research has been done previously regarding to systems with quenches in temperature, and scaling functions has been proposed and tested with quantum and classical models. Here we investigate the 2D Ising Model in a linearly varying magnetic field, where we can apply the same scaling function but with different critical exponents. Also, we found interesting power-law behaviour in first order phase transition where T<Tc. I will also present some ideas for future work based on similar non-equilibrium process, where we can look into the dynamical behaviour of classical topological order with quenches in temperature in a 3D classic model.