1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Isomorph invariance of Couette shear flows simulated by the SLLOD equations of motion
Rent:
Rent this article for
USD
10.1063/1.4799273
/content/aip/journal/jcp/138/15/10.1063/1.4799273
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/15/10.1063/1.4799273
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Viscosity as a function of strain rate for (a) the SCLJ (single-component Lennard-Jones) system at ρ = 0.84, T = 0.8, and (b) the KABLJ (Kob-Andersen binary Lennard-Jones) system at ρ = 1.2, T = 0.579. The transition to the nonlinear regimes occurs around for SCLJ and around for KABLJ.

Image of FIG. 2.
FIG. 2.

Density-temperature phase diagram showing four isomorphic state points of the SCLJ system and five for the KABLJ system (i.e., the projected isomorphs). The reference state points are marked with full symbols.

Image of FIG. 3.
FIG. 3.

Radial distribution function g(r) of (a) the SCLJ system and (b) the KABLJ system at the reference state points with different strain rates. For clarity the radial distribution functions have been displaced by 0.1n with n = 0, …, 5. For the SCLJ system there is a change of structure between strain rate 0.5 and 0.9, consistent with the onset of shear thinning. The same structure change takes place for the KABLJ system somewhat above the onset of shear thinning.

Image of FIG. 4.
FIG. 4.

Radial distribution function for the four isomorphic state points of the SCLJ system in (a) non-reduced units and (b) reduced units. (c) and (d) Radial distribution function of the A particles for the five isomorphic state points of the KABLJ system in non-reduced and reduced units, respectively. To a good approximation the structure is invariant along the isomorphs.

Image of FIG. 5.
FIG. 5.

Intermediate scattering function (transverse displacements) for the four isomorphic state points of the SCLJ system at q = 6.81(ρ/0.84)1/3 as a function of (a) ordinary time and (b) reduced time. The next two figures show intermediate scattering function (A particles, transverse displacements) for the five isomorphic steady state points of the KABLJ system at q = 7.152(ρ/1.2)1/3 as a function of (c) ordinary time and (d) reduced time. The collapses in (b) and (d) demonstrate isomorph invariance of the dynamics in reduced units.

Image of FIG. 6.
FIG. 6.

(a) Viscosity versus strain rate for the SCLJ system at the four points shown in Fig. 2 ; (b) reduced viscosity versus reduced strain rate for the same state points. (c) Viscosity versus strain rate for the five state points of the KABLJ system shown in Fig. 2 ; (d) versus reduced strain rate for the same state points.

Image of FIG. 7.
FIG. 7.

(a) Potential energy versus strain rate for the SCLJ system at the four (ρ, T) points shown in Fig. 2 ; (b) The strain-rate dependent reduced potential energy (UU 0)/k B T versus reduced strain rate where U 0 is the potential energy at zero strain rate. (c) Potential energy versus strain rate for the KABLJ system for the five ρ, T points shown in Fig. 2 ; (d) (UU 0)/k B T versus reduced strain rate.

Image of FIG. 8.
FIG. 8.

(a) Pressure versus strain rate for the SCLJ system at the four state points of Fig. 2 ; (b) the strain-rate dependent reduced pressure (pp 0)/(ρk B T) versus reduced strain rate for the same state points. (c) Pressure versus strain rate for the KABLJ system at the five state points shown in Fig. 2 ; (d) (pp 0)/(ρk B T) versus reduced strain rate for the same state points.

Image of FIG. 9.
FIG. 9.

Configurational parts of normal stress difference (σ xx − σ yy )/2 for SCLJ in (a) normal units and (b) reduced units. While there is some statistical noise due to the inherent problems with subtracting similar quantities, there is a clear collapse in reduced units, indicating that the normal stress differences (configurational parts) are at least as isomorph invariant as the strain-rate dependent part of the pressure.

Loading

Article metrics loading...

/content/aip/journal/jcp/138/15/10.1063/1.4799273
2013-04-18
2014-04-21
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Isomorph invariance of Couette shear flows simulated by the SLLOD equations of motion
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/15/10.1063/1.4799273
10.1063/1.4799273
SEARCH_EXPAND_ITEM