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

Characterizing the intermediate phases through topological analysis

I review computational studies of different models of elastic network selforganization leading to the existence of a globally isostatic (rigid but unstressed) or nearly isostatic intermediate phase. A common feature of all models considered here is that only the topology of the elastic network is taken into account; this allows the use of an extremely efficient constraint counting algorithm, th...

Self-organized criticality in the intermediate phase of rigidity percolation.

Experimental results for covalent glasses have highlighted the existence of a self-organized phase due to the tendency of glass networks to minimize internal stress. Recently, we have shown that an equilibrated self-organized two-dimensional lattice-based model also possesses an intermediate phase in which a percolating rigid cluster exists with a probability between zero and one, depending on ...

Self-organization and rigidity in network glasses

Rigidity theory has helped in our understanding of the properties of network glasses. We analyze the connection between rigidity and various non-random features in the network structure. Lack of small rings in the network can lead to a sharper rigidity transition. We review a model of network self-organization that we have proposed, in which the existence of an intermediate phase that is rigid,...

Rigidity and Self-organization of Network Glasses and the Intermediate Phase

Self-organization in network glasses

The continuous random network model is widely used as a realistic description of the structure of covalent glasses and amorphous solids. We point out that in real glasses and amorphous materials, there are non-random structural elements that go beyond just simple chemical ordering. We propose that the network can self-organize at its formation or ®ctive temperature, and examine some of the poss...