A symmetry breaking transition in the edge/triangle network model

  • Charles Radin

    University of Texas, Austin, USA
  • Kui Ren

    University of Texas, Austin, USA
  • Lorenzo Sadun

    University of Texas, Austin, USA

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