WWTF Project MA14-44
Thermally controlled magnetization dynamics


Dirk Praetorius
Institute for Analysis and Scientific Computing (E101)
TU Wien
Wiedner Hauptstraße 8-10
1040 Wien, Austria


+43 1 58801 10150
+43 1 58801 10196


Magnetic data storage will undergo a significant growth during the next decade driven mainly by the increase in mobile devices which store their data in the cloud. Future hard disks will use localized heating to provide additional energy to write onto tiny, hard magnetic grains. The successful development of this technology requires a significant modeling and simulation effort. Simulation of heat assisted magnetic recording faces three major challenges:

  1. The material undergoes a phase transition which is reflected in the change of the nature of the underlying partial differential equations.
  2. Trusted physical models for magnetization dynamics at high temperatures are only available at the atomistic level.
  3. The local heat spot creates random fluctuations of the magnetization. This results in a stochastic PDE with coefficients that rapidly vary in time and space.
In order to address these issues, the project brings together an interdisciplinary team of mathematicians, physicists, and software engineers. The aim is to develop mathematically reliable, numerically stable, and computationally effective methods for the simulation of thermally driven magnetization dynamics.

Funding period

WWTF grant from 01/2015 until 09/2018

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