Transport in weighted Delaunay triangulations
We consider the Delaunay triangulation (thought of as graph dual to a Voronoi tessellation) built on a simple point process in R^d together with a random conductance field assigning a positive weight (conductance) to each non-oriented edge. We consider the symmetric simple exclusion process defined on the above weighted Delaunay triangulation and discuss hydrodynamics and equilibrium fluctuations. We then move to simple exclusion processes, whose definition is well posed when a suitable percolation model in a random environment is subcritical. We give sufficient conditions for subcriticality.
Area: CS17 - Interacting systems in statistical physics I (Alexander Zass)
Keywords: Interacting particle systems, point processes, random graphs, equilibrium fluctuations
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