%0 Journal Article
%T Shear-stress fluctuations in self-assembled transient elastic networks
%A Wittmer, J. P.
%A Kriuchevskyi, I.
%A Cavallo, A.
%A Xu, H.
%A Baschnagel, J.
%J Physical Review E
%D 2016
%V 93
%N 6
%I Amer Physical Soc
%@ 2470-0045
%G English
%F Wittmer_etal2016
%O WOS:000378206800014
%O exported from refbase (http://www.ics-cnrs.unistra.fr/publication/show.php?record=14035), last updated on Fri, 13 Jan 2017 11:59:58 +0100
%X Focusing on shear-stress fluctuations, we investigate numerically a simple generic model for self-assembled transient networks formed by repulsive beads reversibly bridged by ideal springs. With Lambda t being the sampling time and t(star)(f) similar to 1/f the Maxwell relaxation time (set by the spring recombination frequency f), the dimensionless parameter Delta x = Delta t/ t(star) (f) is systematically scanned from the liquid limit (Delta x >> 1) to the solid limit (Delta x << 1) where the network topology is quenched and an ensemble average over m-independent configurations is required. Generalizing previous work on permanent networks, it is shown that the shear-stress relaxation modulus G(t) may be efficiently determined for all Delta x using the simple-average expression G(t) = mu(A) – h(t) with mu(A) = G(0) characterizing the canonical-affine shear transformation of the system at t = 0 and h(t) the (rescaled) mean-square displacement of the instantaneous shear stress as a function of time t. This relation is compared to the standard expression G(t) = (c) over tilde (t) using the (rescaled) shear-stress autocorrelation function (c) over tilde (t). Lower bounds for the m configurations required by both relations are given.
%P 11 pp