# School of Mathematics

## Dr Steven P Fitzgerald

UAF in Applied Mathematics

Applied Mathematics

### Contact details

Room: 9.320

Tel: +44 (0)113 3434331

Email: s.p.fitzgerald @ leeds.ac.uk

### Keywords

Crystal defects

Dislocations

Elasticity

Stochastic differential equations

## Research interests

My research interests lie in the structure and dynamics of crystal defects, the mathematics and physics used to model them, and their effects on the properties of the materials that contain them.

Even everyday materials such as steel lack a full quantitative understanding, and my work involves developing mathematical models and computer simulations aiming to provide this. I focus on bridging the gap in scales between the atomic (where accurate computer simulations can be performed, but require so much computer power that only a few cubic nanometres can be simulated for a few nanoseconds) and the engineering design scale relevant for technological applications.

### Useful links

## Publications

**Fu BQ, Fitzgerald SP, Hou Q, Wang J, Li M** Effect of collision cascades on dislocations in tungsten: A molecular dynamics study *Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms*, **393**, 169-173, 2017

DOI:10.1016/j.nimb.2016.10.028

View abstract

**Fitzgerald SP** Kink pair production and dislocation motion *Scientific Reports*, **6**, 2016

DOI:10.1038/srep39708

View abstract

**Parviainen S, Djurabekova F, Fitzgerald SP, Ruzibaev A, Nordlund K** Atomistic simulations of field assisted evaporation in atom probe tomography *Journal of Physics D: Applied Physics*, **49**, 045302-045302, 2016

DOI:10.1088/0022-3727/49/4/045302

**Fitzgerald SP** Crowdion–solute interactions: Analytical modelling and stochastic simulation *Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms*, **352**, 14-17, 2015

DOI:10.1016/j.nimb.2014.10.003

**Ferroni F, Yi X, Arakawa K, Fitzgerald SP, Edmondson PD, Roberts SG** High temperature annealing of ion irradiated tungsten *Acta Materialia*, **90**, 380-393, 2015

DOI:10.1016/j.actamat.2015.01.067

**Ferroni F, Tarleton E, Fitzgerald S** GPU accelerated dislocation dynamics *Journal of Computational Physics*, **272**, 619-628, 2014

DOI:10.1016/j.jcp.2014.04.052

**Speller SC, Dudin P, Fitzgerald S, Hughes GM, Kruska K, Britton TB, Krzton-Maziopa A, Pomjakushina E, Conder K, Barinov A, Grovenor CRM** High-resolution characterization of microstructural evolution in crystals on annealing *Physical Review B*, **90**, 2014

DOI:10.1103/PhysRevB.90.024520

**Ferroni F, Tarleton E, Fitzgerald S** Dislocation dynamics modelling of radiation damage in thin films *Modelling and Simulation in Materials Science and Engineering*, **22**, 045009-045009, 2014

DOI:10.1088/0965-0393/22/4/045009

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