Onset of rigidity for stretched string networksG. W. Delaney, D. Weaire and S. Hutzler
School of Physics, Trinity College Dublin - Dublin 2, Ireland
received 10 August 2005; accepted in final form 21 October 2005
published online 23 November 2005
We define and analyse an elementary model for a network of strings with random natural lengths. As this system is expanded, a threshold is reached where some of the strings form a taut string network. Further expansion increases the fraction of taut strings, until eventually all strings are taut and the classical problem of a spring network is recovered. Here we provide an analysis of the properties of the system at and beyond the threshold expansion, relating results to the expectations of constraint theory.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
45.70.Cc - Static sandpiles; granular compaction.
07.05.Tp - Computer modeling and simulation.
© EDP Sciences 2005