Self-organization with equilibration: a model for the intermediate phase in rigidity percolation

Abstract

Recent experimental results for covalent glasses suggest the existence of an intermediate phase attributed to the self-organization of the glass network resulting from the tendency to minimize its internal stress. However, the exact nature of this experimentally measured phase remains unclear. We modify a previously proposed model of self-organization by generating a uniform sampling of stress-free networks. In our model, studied on a diluted triangular lattice, an unusual intermediate phase appears, in which both rigid and floppy networks have a chance to occur, a result also observed in a related model on a Bethe lattice by Barre et al. [Phys. Rev. Lett. 94, 208701 (2005)]. Our results for the bond-configurational entropy of self-organized networks, which turns out to be only about 2% lower than that of random networks, suggest that a self-organized intermediate phase could be common in systems near the rigidity percolation threshold.

9 pages, 6 figures

References in corpus (1)

• Pressure Raman effects and internal stress in network glasses

Cited by in corpus (5)

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• Rigidity and intermediate phases in glasses driven by speciation
• Self-organized criticality in the intermediate phase of rigidity percolation
• Self-Organized Networks and Lattice Effects in High Temperature Superconductors
• Exactly solvable models of adaptive networks