The Dynamical Systems and Statistical Physics Group (DSSP) within the School of Mathematical Sciences (SMS) welcomes applications from highly qualified students to do PhD projects. Our research in Dynamical Systems is mainly focused on ergodic properties of nonlinear dynamical systems and discrete time maps, while topics in Statistical Mechanics cover equilibrium and nonequilibrium systems, stochastic processes, and a variety of interdisciplinary complex systems.
To find out about the research interests of members of the group, browse the links of the various groups on the left. Further information can be found in the people section, and on the publications pages. The seminars and events sections will tell you about ongoing activities in the applied group. If you are interested in doing postgraduate research in our group, please consult the relevant postgraduate pages as well.
Research topics and PhD projects

Measured correlations of acceleration components of test particles in turbulent flows can be well reproduced by superstatistical models, borrowed from nonequlibrium statistical mechanics. Projects in mathematical physics offered by Christian Beck, Wolfram Just, Adrian Baule, Christopher Joyner.



Trajectory (in red) of a particle moving in force field (in blue) subjected to noise. This is research at the interface of dynamical systems and stochastic processes. Projects on ergodic behaviour of dynamical systems offered by Oliver Jenkinson and Oliver Bandtlow. Projects on noise phenomena and stochastic modelling offered by Rosemary Harris, Adrian Baule, Wolfram Just.



Interplay between microscopic chaos and macroscopic transport in a simple model system. Deterministic diffusion in a onedimensional map and fractal parameter dependence of the associated diffusion coefficient. Projects on chaotic maps are offered by Rainer Klages, Franco Vivaldi, Christian Beck, Wolfram Just, for more rigorous mathematical results associated with chaotic behaviour contact Oliver Jenkinson and Oscar Bandtlow. 


The phase diagram for a disordered version of the asymmetric simulation exclusion process (ASEP). The ASEP is a paradigmatic model in nonequilibrium statistical mechanics, used to describe processes as diverse as polymer dynamics, traffic flow, ant trails, and packet transport in the internet. Projects in this area offered by Rosemary Harris, related projects on dense packings and polymers also offered by Adrian Baule and Thomas Prellberg. 

Lattice models for interacting polymers. The set of chord diagrams with n chords and m crossings is in bijection with the set of partially directed walks in a wedge with n horizontal steps and m up steps. PhD projects in this area are offered by Thomas Prellberg. There is overlap with research in the combinatorics group. 

Scattering of light in fluids. Analytical result for the dynamic structure factor in a simple one dimensional model system. Projects on theoretical physics research offered by Wolfram Just, Christian Beck, Chris Joyner. 

Complex networks are everywhere. The mathematical analysis of networks constructed from neuroimaging recordings helps to understand neural disorders associated with an altered reorganization of the human brain. The DSSP group closely interacts with the Complex Networks group on a variety of topics. For biologically and economically motivated interdisciplinary research projects using techniques from statistical mechanics contact Rainer Klages and Rosemary Harris. 

Specific currently offered projects:
1. NonMarkovian statistical mechanics: theory and applications (Rosemary Harris) (link)
2. Stochastic processes for random packings of nonspherical objects (Adrian Baule) (link)
3. tba (Thomas Prellberg) (link)
4. tba (Rainer Klages) (link)