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Currently I am working on the following topics:

• Stochastic thermodynamics of active/living systems:ÌýFrom undergraduate thermodynamics, we often assumed thernodynamic Ìýprocesses to be quasi-static, equilibrium, and large N >> 10²³.ÌýIn this project, we aim to generalize classical theory of thermodynamics to systems which are far from equilibrium such as living matter, or small such as molecular engines. To achieve this, we use tools from applied mathematics such as stochastic differential equations.
• Fluid mechanics of active droplets:ÌýActive droplets are driven by some internal agents, such as chemical reactions etc. Consequently these droplets, can self-deform, self-propel etc.ÌýIn this project we will model the self propulsion of these droplets and the collective of motion these droplets using tools fromÌýcomputational fluid mechanics such as lattice Boltzmann, and pseudo-spectral methods.
• Statistical physics of soft condensed matter:ÌýSoft matter includes:Ìýliquid crystals in your laptop screen, emulsion in your mayonnaise, and colloidal suspensions in manyÌýhousehold products. Although the microscopic details of these matters are quite complicated, e.g. they might involve hydrogen-bond, or complex chemical interaction, the macroscopic behaviours of these systems are often very simple. One important result in statistical physics basically says that the macroscopic properties of these system can often be defined through symmetries alone (the same reason standard model of the universe is derived from symmetries).

PhD project and funding are available in my group on a competitive basis. Please have a look at this webpage for general PhD admission to the School of Maths and Stats:Ìý/stem/mathematics-and-statistics/study-us/phd-research

Commitee membership:

• IOP Theory of Condensed Matter Special Interest Group, Ordinary Member.

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