Charles Radin, Kui Ren and Lorenzo Sadun
A symmetry breaking transition in the edge/triangle network model
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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 
uid and a crystalline solid.