ABSTRACT

The Landau-Lifshitz-Gilbert equation (LLGE) is a well-known model for magnetisation. In a ferro-magnatic material, magnetisation is created or affected by external electromagnetic fields. It is therefore necessary to augment the Maxwell system with the LLGE, which describes the influence of ferromagnet. In the first part of this talk, I will discuss numerical methods to solving these coupled equations.

Thermal noise plays a significant role as it can reverse magnetisation. There is a need to study the stochastic LLGE coupled with the Maxwell system. In the second part of the talk I will discuss numerical methods for solving the stochastic coupled system.

This is joint work with Michael Feischl, Ben Goldys, and Kim-Ngan Le.