## Modelling micromagnetism at elevated temperature

- Research Team
- Dmitri Chernyshenko
- Investigators
- Hans Fangohr, Kees de Groot, Peter de_Groot

Magnetisation dynamics at the nanometer scale is commonly modelled using the Landau-Lifshitz-Gilbert (LLG) equation. However, the LLG equation cannot describe materials close to the Curie temperature, or materials where the temperature varies rapidly in time or space. Such cases can be described by a more detailed Landau-Lifshitz-Bloch (LLB) equation which allows the magnetisation to change in magnitude. The continuum form of the LLB equation was originally derived based on the mean-field approximation; it reproduces the qualitative behaviour but cannot provide precise values of the parameters which have to be estimated from numerical simulation using more precise models.

### Categories

**Physical Systems and Engineering simulation:** Micromagnetics

**Algorithms and computational methods:** Boundary elements, FFT, Finite differences, Molecular Dynamics, Monte Carlo, Multi-physics, Multi-scale

**Simulation software:** Nmag

**Programming languages and libraries:** C, C++, MPI, OCaml, PETSc, Python

**Computational platforms:** Iridis, Linux

**Transdisciplinary tags:** Complex Systems, HPC, Scientific Computing, Software Engineering