- Value: This project is open to self-funded students and is eligible for funding from the
School of Mathematics Scholarships,
EPSRC Doctoral Training Partnerships, and
Leeds Doctoral Scholarships.
All successful UK/EU and international applicants will be considered for funding, in an open competition across the School of Mathematics. To be considered for this funding, it is recommended to apply no later than 31 March 2018 for funding to start in October 2018. However, earlier applications are welcome, and will be considered on an ongoing basis.
- Number of awards: 1
- Deadline: 31 March 2018
Contact Dr Steve Fitzgerald to discuss this project further informally.
Next-generation energy systems such as nuclear fusion, advanced fission, hydrogen cycle, and fuel cells will place unprecedented demands on structural and functional materials. In many cases, the materials required for these applications do not yet exist, and their design and development is hampered by the lack of quantitative theoretical models. Large-scale mechanical properties (e.g. strength and ductility) are governed by structures at the microscale (e.g. grain boundaries, dislocations, and compositional inhomogeneities), whose evolution in time is in turn controlled by the nanoscale dynamics of defects: displaced atoms, vacancies and impurities. Driven by a subtle balance of elastic, chemical and thermal (Brownian) forces, these non-equilibrium stochastic processes are the key to understanding and predicting the technologically crucial macroscale behaviour.
This project will develop new mathematical and computational techniques to model materials at the mesoscale, to bridge the gap in our knowledge between the atomistic (where simulations accurately track the location of every atom, but are limited to a few million atoms and a few nanoseconds of simulated time) and the continuum (where simulations can handle large scales and long times, but are generally built on physical simplifications that cannot capture the complex, out-of-equilibrium physics at work).
Applications are invited from candidates with or expecting a minimum of a UK upper second class honours degree (2:1), and/or a Master's degree in a relevant subject such as (but not limited to) mathematics.
How to apply
Formal applications for research degree study should be made online through the university's website. Please state clearly in the research information section that the PhD you wish to be considered for is 'Defect dynamics in energy materials’ as well as Dr Steve Fitzgerald as your proposed supervisor.
If English is not your first language, you must provide evidence that you meet the University’s minimum English Language requirements.
If you require any further information please contact the Graduate School Office
We welcome scholarship applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.