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Updated: Sep 23, 2025

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Slip and stress from low shear rate nonequilibrium molecular dynamics: The transient-time correlation function
Luca Maffioli1, Edward R Smith2, James P Ewen3
1Department of Mathematics, School of Science, Computing and Engineering Technologies, Swinburne University of Technology, P.O. Box 218, Hawthorn, Victoria 3122, Australia.
The transient-time correlation function (TTCF) method accurately computes fluid properties under shear flow. This approach enhances accuracy for atomistic simulations at realistic low shear rates.
Area of Science:
- Computational physics
- Fluid dynamics
- Materials science
Background:
- Understanding fluid behavior under shear is crucial for tribology and rheology.
- Accurate computation of phase variables in confined fluids is challenging, especially at low shear rates.
Purpose of the Study:
- To derive and apply the transient-time correlation function (TTCF) for calculating phase variables in inhomogeneous confined fluids.
- To assess the accuracy and applicability of the TTCF method for atomistic simulations under shear flow.
Main Methods:
- Derivation of the TTCF expression for boundary-driven planar shear (Couette) flow.
- Nonequilibrium molecular dynamics simulations of atomistic fluids under constant pressure and volume.
- Application of TTCF to compute shear stress and slip velocity at low shear rates.
Main Results:
- The TTCF method significantly improves the accuracy of results compared to direct trajectory averaging.
- Demonstrated suitability of TTCF for computing shear stress and slip velocity at realistic low shear rates.
- Validated TTCF for investigating tribology and rheology of confined fluids at atomistic detail.
Conclusions:
- The TTCF formalism provides a highly accurate and efficient method for simulating fluid dynamics under shear.
- This work enables more precise studies of friction and flow behavior in confined systems.
- The TTCF method is a valuable tool for atomistic simulations in tribology and rheology.
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