How to model temperature in nanomagnetism
Kristof M. Lebecki
Usually, magnetic behavior in the nanoscale is described by the Landau-Lifshitz-Gilbert (LLG) equation. This enables us, for instance, to model and understand time-related issues, like: precession, or magnetization switching. I will start my talk with this equation and its importance. Then, I will speak about the temperature and how it can be included into the model. I will describe the problem from two perspectives. There exists namely an atomistic approach, where every single spin is modeled. Here, temperature can be seen as an additional, stochastic field---Langevin noise. For larger systems we have to use continuum theory---micromagnetism. This will lead me to the recently proposed Landau-Lifshitz-Bloch equation, an LLG extension for non-zero temperatures. The talk will be supported with results of numerical simulations.