English

Sum rules for the quasi-static and visco-elastic response of disordered solids at zero temperature

Statistical Mechanics 2016-08-16 v3

Abstract

We study exact results concerning the non-affine displacement fields observed by Tanguy et al [Europhys. Lett. {\bf 57}, 423 (2002), Phys. Rev. B {\bf 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.

Keywords

Cite

@article{arxiv.cond-mat/0410592,
  title  = {Sum rules for the quasi-static and visco-elastic response of disordered solids at zero temperature},
  author = {Anaël Lemaître and Craig Maloney},
  journal= {arXiv preprint arXiv:cond-mat/0410592},
  year   = {2016}
}