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Nonequilibrium statistical physics

Fluctuation spectra and force generation in non-equilibrium systems

We argue that a general signature of active and driven non-equilibrium systems is a non-trivial fluctuation spectrum. This physical insight allows us to construct a unifying up-down framework that can describe a plethora of seemingly disparate non-equilibrium phenomena. 

Hot particles attract in a cold Bath

We show that there is a long-ranged attraction between active particles in a bath of passive particles when the translational translational persistence length of the active particle motion is smaller than the particle diameter. 

Microscopic mechanism of thermomolecular orientation and polarization

We developed a microscopic theory of how polar and non-polar dumbbell molecules respond to an applied temperature gradient.

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Kinetics of self-assembling systems

Dissecting the self-assembly kinetics of multimeric pore-forming toxins

Pore-forming toxins are polymeric cytotoxins used by both bacteria and the immune system that kill cells by forming pores on the cell membrane. Experiments that track the formation of a single pore reveal that pore formation is surprising fast, yet partially-formed pores are not seen. In this paper, we developed a model for pore formation that explains those observations. Moreover, our mathematical model provides insights to hindering the action of pore-forming toxins in bacteria.

Sharp interface limits of the Cahn-Hilliard Equation with degenerate mobility

We analysed the Cahn-Hilliard Equation with degenerate mobility using formal matched asymptotics. The analysis showed that the long-time sharp interface limit is not given by the so-called surface diffusion model, as was assumed in all previous literature. 

Degenerate mobilities in phase field models are insufficient to capture surface diffusion

Using a simple heuristic argument, we showed the physical reasons underlying why degenerate mobilities in Cahn-Hilliard equation are insufficient to capture surface diffusion. 

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