The mathematics of novel magnetic memory materials (ARC Discovery Project administered by Uni of Sydney) (2012-2014)
Abstract
We will develop a mathematical theory of the stochastic Landau-Lifshitz-Gilbert equation, which will lay the foundations for understanding ferromagnetic materials with novel nanostructures. Such materials will be used in next-generation magnetic memory devices, the leading technology for managing digital information. New magnetic nanostructures promise to accelerate device speed by three orders of magnitude and dramatically increase the density of information storage. However, their sensitivity to small random fluctuations that can destroy the stored data is not understood. Our mathematical and numerical analysis will thus enable a paradigm shift in the area of magnetic memories and lead to much smaller and faster devices.
