We numerically study one-parameter family of random single-cluster systems. A finite-concentration topological phase transition from the net-like to the tree-like phase (the latter is without a backbone) is present in all models of the class. Correlation radius index ν B of the backbone in the net-like phase; graph dimensions— d min of the tree-like phase, and D min of the backbone in the net-like phase appear to be universal within the accuracy of our calculations, while the backbone fractal dimension D B is not universal: it depends on the parameter of a model.
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- June 2009
- Disordered solids;
- Condensed Matter - Disordered Systems and Neural Networks
- Published variant