K-th order Hydrodynamic limits

In this thesis, we study stochastic duality under hydrodynamic scaling in the context of interacting particles on a grid. The approach is inspired and motivated by the relation between duality and local equilibria. We identify duality relations in terms of the expectation of the density field for which the hydrodynamic limit is recovered. This...

Economic Engineering & Statistical Physics: Linking Microeconomics and Macroeconomics using Statistical Physics

Economic engineering models individual agents as inertia elements and can be viewed as a microeconomic theory based on analogs with classical mechanics. In this thesis the economic engineering concept of modeling individual agents is used to model economic systems consisting of many agents, e.g. an entire country. This is done using classical...

Single-molecule protein sequencing using biological nanopores

The last few years have shown promising developments in single-molecule protein sequencing using a biological nanopore. Using only one membrane pore in a salt buffer, an applied potential creates a measurable ion current through the pore’s constriction. If a small molecule passes through the pore, this disruption is visible as a characteristic...