Elasticity of randomly diluted central force networks under tension.
We study the rigidity of two-dimensional site-diluted central force triangular networks under tension. We calculate the shear modulus micro directly and fit it with a power law of the form mu approximately (p-p*)(f), where p is the concentration of sites, p* its critical value, and f the critical exponent. We find that the critical behavior of mu is quite sensitive to tension. As the tension is increased there is at first a sharp drop in the values of both p* and f, followed by a slower decrease towards the values of the diluted Gaussian spring network (or random resistor network). We find that the size of the critical region is also sensitive to tension. The tension-free system has a narrower critical regime with the power law failing for p>0.8. In contrast, a small tension is sufficient to extend the power law to near p=1. The physical basis for these behaviors is discussed.
Zhou
Zicong
Z
Department of Physics and Institute of Life Sciences, Tamkang University, 151 Ying-chuan, Tamsui 25137, Taiwan, Republic of China. zzhou@mail.tku.edu.tw
Joós
Béla
B
Lai
Pik-Yin
PY