Europhys. Lett.
Volume 72, Number 6, December 2005
Page(s) 990 - 996
Section Condensed matter: structural, mechanical and thermal properties
Published online 23 November 2005
Europhys. Lett., 72 (6), pp. 990-996 (2005)
DOI: 10.1209/epl/i2005-10339-0

Onset of rigidity for stretched string networks

G. 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.

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