Viscoelasticity in two dimensions
- 1 October 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 32 (4), 2425-2430
- https://doi.org/10.1103/physreva.32.2425
Abstract
We present the first nonequilibrium molecular-dynamics simulations of viscoelasticity in two-dimensional fluids. The shear viscosity is found to depend logarithmically upon the frequency; however, the divergence at low frequencies is shielded by a ‘‘turnover regime’’ where the shear viscosity becomes independent of frequency. The stress-stress autocorrelation function is shown to have a long-time tail, and the coefficient matches the coefficient of the logarithmic frequency dependence of the shear viscosity. The Goddard-Miller relation between the frequency and strain-rate dependence of the shear viscosity is shown to be incorrect. Superharmonic excitations are observed in both the shear stress and the pressure.
Keywords
This publication has 17 references indexed in Scilit:
- Nonequilibrium Molecular-Dynamics Simulation of Couette Flow in Two-Dimensional FluidsPhysical Review Letters, 1983
- Molecular dynamics calculations of shear viscosity time-correlation functions for hard spheresJournal of Statistical Physics, 1981
- Enhancedt ?3/2 long-time tail for the stress-stress time correlation functionJournal of Statistical Physics, 1980
- Kinetic theory of nonlinear viscous flow in two and three dimensionsJournal of Statistical Physics, 1978
- Application of Mode-Coupling Theory to Nonlinear Stress Tensor in FluidsProgress of Theoretical Physics, 1975
- Theory of Nonlinear Transport Processes: Nonlinear Shear Viscosity and Normal Stress EffectsPhysical Review A, 1973
- Decay of Time Correlations in Two DimensionsPhysical Review A, 1971
- Studies in Molecular Dynamics. VIII. The Transport Coefficients for a Hard-Sphere FluidThe Journal of Chemical Physics, 1970
- Decay of the Velocity Autocorrelation FunctionPhysical Review A, 1970
- Velocity Autocorrelations for Hard SpheresPhysical Review Letters, 1967