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...

Evolved interactions stabilize many coexisting phases in multicomponent liquids

Phase separation has emerged as an essential concept for the spatial organization inside biological cells. However, despite the clear relevance to virtually all physiological functions, we understand surprisingly little about what phases form in a system of many interacting components, like in cells. Here we introduce a numerical method based...

Ranking of Nodal Infection Probability in Susceptible-Infected-Susceptible Epidemic

The prevalence, which is the average fraction of infected nodes, has been studied to evaluate the robustness of a network subject to the spread of epidemics. We explore the vulnerability (infection probability) of each node in the metastable state with a given effective infection rate τ. Specifically, we investigate the ranking of the nodal...

A Study of Pair Correlation Functions Using Classical DFT

At the heart of physics of fluids are particle distribution functions. If all of these functions of a fluid are known, the state can be fully described. With a universal theory of particle distribution functions, physics of fluids is done. Of particular interest is the radial distribution function (rdf), which is related to the second particle...