Probabilistic modeling and geometry of the microstructural properties of materials for fusion reactors

Materials in fusion reactors will need to fulfill extremely stringent requirements. In this work, we will model the complex stochastic microstructures of tungsten-based alloys with specialized probability distributions and measure their similarity with the geodesic distance on the corresponding probabilistic manifolds. We will then be able to reliably assess the effect of different plasma treatments and relate micro- to macro-properties.