Theory of Thermodynamic Stresses in Colloidal Dispersions at the Glass Transition

Hajnal, David; Henrich, Oliver; Crassous, Jérôme J.; Siebenbürger, Miriam; Drechsler, Markus; Ballauff, Matthias; Fuchs, Matthias

doi:10.1063/1.2964805

Cited by 1 publication

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“…9 shows explicitely the accuracy of our approximation for the waiting time derivative, Eq. (21). Noting that this approximation was central for the derivation of nontrivial fluctuation-dissipation-ratios in Refs.…”

Section: Figmentioning

confidence: 99%

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From equilibrium to steady-state dynamics after switch-on of shear

2010

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A relation between equilibrium, steady-state, and waiting-time dependent dynamical two-time correlation functions in dense glass-forming liquids subject to homogeneous steady shear flow is discussed. The systems under study show pronounced shear thinning, i.e., a significant speedup in their steady-state slow relaxation as compared to equilibrium. An approximate relation that recovers the exact limit for small waiting times is derived following the integration through transients (ITT) approach for the nonequilibrium Smoluchowski dynamics, and is exemplified within a schematic model in the framework of the mode-coupling theory of the glass transition (MCT).Computer simulation results for the tagged-particle density correlation functions corresponding to wave vectors in the shear-gradient directions from both event-driven stochastic dynamics of a twodimensional hard-disk system and from previously published Newtonian-dynamics simulations of a three-dimensional soft-sphere mixture are analyzed and compared with the predictions of the ITTbased approximation. Good qualitative and semi-quantitative agreement is found. Furthermore, for short waiting times, the theoretical description of the waiting time dependence shows excellent quantitative agreement to the simulations. This confirms the accuracy of the central approximation used earlier to derive fluctuation dissipation ratios (Phys. Rev. Lett. 102, 135701). For intermediate waiting times, the correlation functions decay faster at long times than the stationary ones. This behavior is predicted by our theory and observed in simulations.

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Section: Figmentioning

confidence: 99%

“…i.e., the integrated normalized shear modulus [10,[18][19][20][21], to exist. We assume that this integral can be regularized for hard spheres, as outlined in Appendix A.…”

Section: B Approximations For Correlation Functionsmentioning

confidence: 99%