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arXiv · 1604.07929

A symmetry breaking transition in the edge/triangle network model

Charles Radin·Kui Ren·Lorenzo Sadun
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Abstract

Our general subject is the emergence of phases, and phase transitions, in large networks subjected to a few variable constraints. Our main result is the analysis, in the model using edge and triangle subdensities for constraints, of a sharp transition between two phases with different symmetries, analogous to the transition between a fluid and a crystalline solid.

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Charles Radin, Kui Ren, Lorenzo Sadun. 2016-04-27. A symmetry breaking transition in the edge/triangle network model. https://arxiv.org/abs/1604.07929

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