Non-Equilibrium Systems: Theoretical Modelling, Simulation and Data-Driven Analysis

King's College London hosts an EPSRC-funded Centre for Doctoral Training (CDT) in Cross-Disciplinary Approaches to Non-Equilibrium Systems (CANES). Non-equilibrium processes underpin many challenging problems across the natural sciences. The mission of CANES is to train a new generation of researchers in cross-disciplinary approaches to non-equilibrium systems, focussing on the three key strands of theoretical modelling, simulation and data-driven analysis. It draws on a broad range of supervisor expertise in Mathematics, Physics, Chemistry, Informatics, Computational and Systems Biomedicine, Earth and Environmental Sciences, including partners at Imperial College London, University College London and Queen Mary London. The training programme consists of a first year combining taught courses and research projects, leading to the award of an MSc. In years two to four, students will progress to the PhD component where the emphasis will shift to research. Structured training is delivered by a number of routes, which include open question sandpits, master classes, seminars, journal clubs and an annual retreat. Students will also be able to undertake internships at a broad range of industrial and international academic partners.

The Centre for Doctoral Training CANES offers:

• An innovative programme of teaching, delivered by academics with a vast range of expertise in non-equilibrium systems across the Faculties of Natural and Mathematical Sciences, Life Sciences and Medicine and Social Science and Public Policy.
• High quality training in a broad range of transferable skills, public engagement and outreach activities.
• A cohort approach to learning.
• Broad range of available research projects
• An interdisciplinary pool of supervisors directing a wide range of cutting-edge and challenging research projects in the rapidly developing and exciting field of non-equilibrium systems.

Bachelor's degree with first class honours in a relevant discipline including mathematics, physics, chemistry, engineering, materials science, biophysics, geophysical sciences and computer science.

MSc/PhD

Year 1: MSc Non-Equilibrium Systems: Theoretical Modelling, Simulation and Data-Driven Analysis.

The first year is a taught programme with a significant research component in the rapidly developing and exciting interdisciplinary field of non-equilibrium systems. It covers scientific areas ranging from mathematics, physics, informatics and chemistry to biomedical and environmental sciences, and consists of a wide range of taught modules. You must also complete three research projects on non-equilibrium systems.

Semester 1:

CANES students will attend 4 lecture courses in the first semester; for the fourth module they can choose between two options, with a classical or quantum focus, depending on their research interests. However all students are encouraged to audit the module they are not formally submitting for examination:

• Dynamical Modelling of Non-Equilibrium Systems (Compulsory)
• Simulation Methods for Non-Equilibrium Systems (Compulsory)
• Statistical Learning and Data-Driven Analysis (Compulsory)
• Modelling Quantum Many-body Systems (Optional)
• Rare Events and Large Deviations (Optional)

Semester2:

• Advanced Topics in Non-Equilibrium Systems (Compulsory)
• Research Methods for Theoretical Modelling of Non-Equilibrium Systems (Core)
• Research Methods for Simulation of Non-Equilibrium Systems (Core)
• Research Methods for Data-Driven Analysis of Non-Equilibrium Systems (Core)

All students must select an optional module in the second semester that provides 15 credits or more.

Possible options include:

• Mathematical Biology
• Interest Rate and Foreign Exchange Dynamics
• Risk in Finance
• Nonlinear Analysis
• Advanced Quantum Field Theory
• Modelling Environmental Change at the Land Surface

Fees:

• Funding for CANES students covers all course fees, a stipend for living expenses in line with Research Councils UK guidelines ca.

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