Anomalous dynamical light scattering in soft glassy gels

被引:25
作者
Bouchaud, JP [1 ]
Pitard, E
机构
[1] CENS, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France
[2] Univ Montpellier 2, Lab Phys Math & Theor, UMR 5825, F-34095 Montpellier 5, France
关键词
PACS. 82.70.Gg Gels and sols – 81.40.Cd Solid solution hardening, precipitation hardening, and dispersion hardening; aging;
D O I
10.1140/epje/i2002-10075-3
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We compute the dynamical structure factor S(q, tau) of an elastic medium where force dipoles appear at random in space and in time, due to "micro-collapses" of the structure. Various regimes are found, depending on the wave vector q and the collapse time theta. In an early time regime, the logarithm of the structure factor behaves as (qtau)(3/2), as predicted in (L. Cipelletti et al., Phys. Rev Lett. 84, 2275 (2000)) using heuristic arguments. However, in an intermediate-time regime we rather obtain a (qtau)(5/4) behaviour. Finally, the asymptotic long-time regime is found to behave as q(3/2)tau. We also give a plausible scenario for aging, in terms of a strain-dependent energy barrier for micro-collapses. The relaxation time is found to grow with the age t(w), quasi-exponentially at first, and then as t(w)(4/5) with logarithmic corrections.
引用
收藏
页码:287 / 291
页数:5
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