Dr R Klages
Applications accepted all year round
About the Project
The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing either in January 2017 or September 2017 for students seeking funding, or at any point in the academic year for self-funded students.
This project will be supervised by Dr Rainer Klages.
If a dynamical system is chaotic in the sense of exhibiting a positive Lyapunov exponent it typically generates normal diffusion, where an ensemble of particles spreads out linearly in time measured by the mean squared displacement of these particles. Interestingly, there is a broad class of other dynamical systems where particles still diffuse while the dynamics is not chaotic in the above sense. This dynamics is called weakly chaotic by generating anomalous diffusion, because particles spread out either faster or slower than for chaotic dynamics, called sub- and superdiffusion, respectively. Understanding anomalous diffusion both from a dynamical systems and a stochastic theory point of view became a very active field of research in recent years. This problem has applications to many other topics like diffusion in biological systems, molecular diffusion on nanoscales, and socio-economic dynamics. The theme of this PhD project is to explore anomalous dynamics for a simple random walk-like model, which can be studied analytically and numerically both from a dynamical systems and a stochastic theory point of view.
The project will start in analogy to a previous very successful PhD project analysing subdiffusion in the Pomeau-Manneville map. A slightly modified model yields superdiffusion, which should be explored by matching computer simulation results to stochastic approximations. There is a choice to then move into dynamical systems theory, or to work on stochastic processes. A background, or at least interest, in stochastic theory, dynamical systems theory, statistical physics and computer simulations is required.
Full details can be found in the project abstract: http://www.maths.qmul.ac.uk/sites/default/files/PhD%20Projects%202016/DSSP/Klages%20Project%20%282%29.pdf
The application procedure is described on the School website. For further enquiries please contact Dr Rainer Klages, [Email Address Removed]. This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs. Applicants interested in the full funding will have to participate in a highly competitive selection process. The best candidates will be eligible to receive a prestigious Ian Macdonald Postgraduate Award of £1000, for which you will be considered alongside your application. The application deadline for full funding is November 30th 2016 to start in January 2017, and January 31st to start in September 2017.
Funding Notes
There is also 50% funding scheme available for students who are able to find the matching 50 % of the cost of their studies. Competition for these half-funded slots will be less intensive, and eligible students should mention their willingness to be considered for them in their application. The application deadline for 50 % funding is January 31st 2017.
This project can be also undertaken as a self-funded project, either through your own funds or through a body external to Queen Mary University of London. Self-funded applications are accepted year-round.
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