Volume 72, Number 6, December 2005
|Page(s)||990 - 996|
|Section||Condensed matter: structural, mechanical and thermal properties|
|Published online||23 November 2005|
Onset of rigidity for stretched string networks
School of Physics, Trinity College Dublin - Dublin 2, Ireland
Accepted: 21 October 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.
PACS: 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
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