Sum rules for the quasi-static and visco-elastic response of disordered solids at zero temperature
Anaël Lemaître, Craig Maloney
Abstract
We study exact results concerning the non-affine displacement fields observed by Tanguy et al [Europhys. Lett. 57, 423 (2002), Phys. Rev. B 66, 174205 (2002)] and their contributions to elasticity. A normal mode analysis permits us to estimate the dominant contributions to the non-affine corrections to elasticity, and relate these corrections to the correlator of a fluctuating force field. We extend this analysis to the visco-elastic dynamical response of the system.
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