Sum Rules for the Quasi-Static and Visco-Elastic Response of Disordered Solids at Zero Temperature |
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| Authors: | Anaël Lemaître Craig Maloney |
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| Affiliation: | (1) Department of physics, University of California, Santa Barbara, California, 93106, U.S.A.;(2) Lawrence Livermore National Lab, CMS/MSTD, Livermore, California, 94550, U.S.A.;(3) L.M.D.H., Universite Paris VI, UMR 7603, 4 place Jussieu, 75005 Paris, France |
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| 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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| Keywords: | amorphous solids Born-Huang approximation visco-elasticity non-affine |
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