Issue
Europhys. Lett.
Volume 72, Number 6, December 2005
Page(s) 990 - 996
Section Condensed matter: structural, mechanical and thermal properties
DOI http://dx.doi.org/10.1209/epl/i2005-10339-0
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

Abstract
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.

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