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A Markov Chain Surrogate Model for a Two-Dimensional Interacting Particle System with Internal Collisions

A probabilistic Markov Chain (MC) surrogate model for a two-dimensional system of interacting particles within a square domain having inherent symmetries is developed. Particles are assumed to be circular and identical, colliding with each other and with rigid domain walls via perfectly elastic collisions. Simulation results over many realizations are used to develop and evaluate the surrogate MC model. The stationary quantity of interest (QoI) is the number of particles within each of nine coarser subdomains, delineated via three internal geometric symmetries. The surrogate model is used to quantify QoI mean properties and uncertainty as the particle radius is varied.

preprint2022arXivOpen access
Tricity AndrewJames D. NanceMansoor A. Haider
math-phmath.MP
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Open access3 authors2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Tricity AndrewJames D. NanceMansoor A. Haider

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