Rigorous solution for the elasticity of diluted gaussian spring networks
We present a rigorous solution of the elasticity of the diluted Gaussian spring networks (DGSNs) at zero temperature. We show that the deformation of a diluted DGSN is homogeneous provided that the displacements of the particles on the boundary are homogeneous. It follows that at zero temperature the nonvanishing elastic stiffness coefficients are proportional to the hydrostatic pressure in both two and three dimensions. Follows a rigorous proof of the equivalence of the elasticity of the DGSN and the conductance of the random resistor network at zero temperature.
Zhou
Z
Department of Physics and Center for Complex Systems, National Central University, Chung-li, Taiwan 320, Republic of China.
Lai
PY
Joos
B