Wittmer_etal2016
ArticleInAPeriodical
Amer Physical Soc
2016
Physical Review E
93
6
11 pp
WittmerJP
KriuchevskyiI
CavalloA
XuH
BaschnagelJ
Shear-stress fluctuations in self-assembled transient elastic networks
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.WOS:000378206800014exported from refbase (http://www.ics-cnrs.unistra.fr/publication/show.php?record=14035), last updated on Fri, 13 Jan 2017 11:59:58 +0100