TP 19 : Models of granular networks in two and three dimensions Supervisor : Dr Mason Porter
نویسنده
چکیده
I develop several new models that attempt to reproduce the structure of two-dimensional granular materials, and compare them with experiment using diagnostics from network science. I discuss one model that treats granular networks as a perturbation of a close-packed hexagonal lattice, and two models that are modifications of the random geometric graph (RGG). One of these modified RGGs simulates the forces that compressed particles exert on each other and displaces them accordingly. This model is found to be a good model of granular materials, in that its network properties appear to be very close to those of real granular networks; however, its effectiveness does not seem to depend upon the form of the force law implemented. I then briefly examine the three-dimensional analogues of two of the models.
منابع مشابه
Project Number : TP 08 Project Title : Mathematics Genealogies and . The Movements of Academics Supervisor : Mason A . Porter Word Count : 6462
From the Mathematics Genealogy Project, a database of maths-related PhD theses, I extract the movements of academics between universities on an international scale. I show that the extracted movements are incompatible with several features of a random graph based on the configuration model. Using Bayesian hypothesis testing, I find evidence that an academic is more likely to move after their Ph...
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