Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J P WittmerJ Baschnagel

Abstract

We revisit the relation between the shear-stress relaxation modulus G(t), computed at finite shear strain 0<γ≪1, and the shear-stress autocorrelation functions C(t)|(γ) and C(t)|(τ) computed, respectively, at imposed strain γ and mean stress τ. Focusing on permanent isotropic spring networks it is shown theoretically and computationally that in general G(t)=C(t)|(τ)=C(t)|(γ)+G(eq) for t>0 with G(eq) being the static equilibrium shear modulus. G(t) and C(t)|(γ) thus must become different for solids and it is impossible to obtain G(eq) alone from C(t)|(γ) as often assumed. We comment briefly on self-assembled transient networks where G(eq)(f) must vanish for a finite scission-recombination frequency f. We argue that G(t)=C(t)|(τ)=C(t)|(γ) should reveal an intermediate plateau set by the shear modulus G(eq)(f=0) of the quenched network.

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Nov 22, 2013·The European Physical Journal. E, Soft Matter·J P WittmerJ Baschnagel

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Citations

Feb 13, 2016·Physical Review. E·J P WittmerJ Baschnagel
Nov 26, 2016·Physical Review Letters·Bernd IllingMatthias Fuchs
Apr 9, 2017·The European Physical Journal. E, Soft Matter·I KriuchevskyiJ Baschnagel
Jan 14, 2017·The European Physical Journal. E, Soft Matter·Francesco Sciortino
Jul 15, 2016·Physical Review. E·Hideyuki MizunoLeonardo E Silbert
Oct 21, 2017·Physical Review Letters·I KriuchevskyiJ Baschnagel
Jan 13, 2018·Physical Review Letters·Manuel MaierMatthias Fuchs
Sep 9, 2018·The Journal of Chemical Physics·Manuel MaierMatthias Fuchs
Jul 15, 2016·Physical Review. E·J P WittmerJ Baschnagel
Jan 8, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·D LiJ P Wittmer
Nov 29, 2017·Journal of Physics. Condensed Matter : an Institute of Physics Journal·S Fritschi, M Fuchs
Aug 18, 2018·Physical Review Letters·Simone CiarellaWouter G Ellenbroek
Sep 23, 2019·The Journal of Chemical Physics·Hodaka Mori, Nobuyuki Matubayasi
Feb 17, 2018·Physical Review. E·I KriuchevskyiJ Baschnagel
Jun 17, 2018·Physical Review. E·Dominik Lips, Philipp Maass
Mar 9, 2021·The European Physical Journal. E, Soft Matter·G GeorgeJ P Wittmer
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Atsushi Ikeda, Ludovic Berthier
Apr 19, 2021·The European Physical Journal. E, Soft Matter·G GeorgeJ P Wittmer

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