# PhD project: Nonequilibrium Phase Transitions

## Project description

A major question concerning non-equilibrium systems is how their properties differ from systems in thermal equilibrium and in particular what is the nature of non-equilibrium phase transitions. A major achievement of our work in Edinburgh has been the realisation that phase transitions and, in particular, spontaneous symmetry breaking may occur in one-dimensional (1d) systems as opposed to equilibrium systems where phase transitions cannot occur in 1d. Such systems are realised, for example, by traffic and granular flow. A related non-equilibrium phase transition is 'real-space condensation' the characteristic feature of which is that above a critical density of the microscopic constituents a finite fraction of constituents 'condense' onto one site of the corresponding lattice model. The project is to extend our understanding of and to discover new non-equilibrium phase transitions through numerical and analytical studies.

## Project supervisors

- Professor Richard Blythe (School of Physics & Astronomy, University of Edinburgh)
- Professor Martin Evans (School of Physics & Astronomy, University of Edinburgh)

The project supervisors welcome informal enquiries about this project.

## Find out more about this research area

The links below summarise our research in the area(s) relevant to this project:

- Find out more about Statistical Physics and Complexity.
- Find out more about the Institute for Condensed Matter and Complex Systems.

## What next?

- Find out how to apply for our PhD degrees.
- Find out about fees and funding and studentship opportunities.
- View and complete the application form (on the main University website).
- Find out how to contact us for more information.