A symmetry breaking transition in the edge/triangle network model
Combinatorics
2017-03-16 v1 Statistical Mechanics
Social and Information Networks
Probability
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
@article{arxiv.1604.07929,
title = {A symmetry breaking transition in the edge/triangle network model},
author = {Charles Radin and Kui Ren and Lorenzo Sadun},
journal= {arXiv preprint arXiv:1604.07929},
year = {2017}
}