TY - JOUR

T1 - Elasticity of randomly diluted central force networks under tension

AU - Zhou, Zicong

AU - Joós, Béla

AU - Lai, Pik Yin

PY - 2003

Y1 - 2003

N2 - We study the rigidity of two-dimensional site-diluted central force triangular networks under tension. We calculate the shear modulus μ directly and fit it with a power law of the form [Formula presented] where p is the concentration of sites, [Formula presented] its critical value, and f the critical exponent. We find that the critical behavior of μ is quite sensitive to tension. As the tension is increased there is at first a sharp drop in the values of both [Formula presented] 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 [Formula presented] In contrast, a small tension is sufficient to extend the power law to near [Formula presented] The physical basis for these behaviors is discussed.

AB - We study the rigidity of two-dimensional site-diluted central force triangular networks under tension. We calculate the shear modulus μ directly and fit it with a power law of the form [Formula presented] where p is the concentration of sites, [Formula presented] its critical value, and f the critical exponent. We find that the critical behavior of μ is quite sensitive to tension. As the tension is increased there is at first a sharp drop in the values of both [Formula presented] 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 [Formula presented] In contrast, a small tension is sufficient to extend the power law to near [Formula presented] The physical basis for these behaviors is discussed.

UR - http://www.scopus.com/inward/record.url?scp=85035272417&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.68.055101

DO - 10.1103/PhysRevE.68.055101

M3 - 期刊論文

AN - SCOPUS:85035272417

VL - 68

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 5

ER -