2008/05/31 by Wm. G. Hoover, Carol G. Hoover, Janka Petravic · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Boundary value problem #Classical mechanics #Geometry #Homogeneous #Lattice Boltzmann Simulation Studies #Materials science #Mathematical analysis #Mathematics #Mechanics #Nanopore and Nanochannel Transport Studies #Nonlinear system #Physics #Quantum mechanics #Shear (geology) #Shear stress #Statistical physics #Theoretical and Computational Physics #nlin.CD
paper · pdf · doi:10.1103/physreve.78.046701
34 pages with 12 figures, under consideration by Physical Review E
arxiv created 2008/07/19 · openalex publication_date 2008/10/02 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Homogeneous shear flows (with constant strainrate dv(x)/dy) are generated with the Doll's and Sllod algorithms and compared to corresponding inhomogeneous boundary-driven flows. We use one-, two-, and three-dimensional smooth-particle weight functions for computing instantaneous spatial averages. The nonlinear normal-stress differences are small, but significant, in both two and three space dimensions. In homogeneous systems the sign and magnitude of the shearplane stress difference, Pxx-Pyy, depend on both the thermostat type and the chosen shearflow algorithm. The Doll's and Sllod algorithms predict opposite signs for this normal-stress difference, with the Sllod approach definitely wrong, but somewhat closer to the (boundary-driven) truth. Neither of the homogeneous shear algorithms predicts the correct ordering of the kinetic temperatures: Txx > Tzz > Tyy.