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

被引:159
作者
Lemaître, A
Maloney, C
机构
[1] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
[2] Lawrence Livermore Natl Lab, CMS MSTD, Livermore, CA 94550 USA
[3] Univ Paris 06, LMDH, UMR 7603, F-75005 Paris, France
基金
美国国家科学基金会;
关键词
amorphous solids; Born-Huang approximation; visco-elasticity; non-affine;
D O I
10.1007/s10955-005-9015-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:415 / 453
页数:39
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