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On non-equilibrium fluctuations for the Stirring process with births and deaths

Fall 2021
Panagiota Birmpa (UMass Amherst)

In this talk, we present our recent results on the density fluctuation field for the stirring process with births and deaths at two sites at the boundary which tend to impose a current into the system. Assuming correlation estimates, we derive an equation for the limiting kernel of the variance of the fluctuation field. We also present a strategy towards closing the martingales with respect to the density fluctuation field which is the key difficulty of this problem due to the boundary effects. This is a joint work with Dr. D. Tsagkarogiannis and Prof. Patricia Goncalves.