A symmetry breaking transition in the edge/triangle network model
Charles Radin
University of Texas, Austin, USAKui Ren
University of Texas, Austin, USALorenzo Sadun
University of Texas, Austin, USA
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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.
Cite this article
Charles Radin, Kui Ren, Lorenzo Sadun, A symmetry breaking transition in the edge/triangle network model. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 5 (2018), no. 2, pp. 251–286
DOI 10.4171/AIHPD/54