The bounded 15-vertex model

Kari Eloranta

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arXiv · 1807.07567

The bounded 15-vertex model

Kari Eloranta

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Abstract

The 15-vertex model of Statistical Mechanics is studied on a square domain with partially oriented boundary. With DWBC the model would reduce to the six-vertex model, but more general boundary configurations are available. After establishing the dynamic version of the model we simulate with it to find the typical equilibrium states for a set of increasingly complex boundaries. Among others they yield almost isotropic non-trivial limit shapes even though the microscopic model is highly asymmetric.

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Kari Eloranta. 2018-07-19. The bounded 15-vertex model. https://arxiv.org/abs/1807.07567

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