2002/11/30 by Hirofumi Wada, Shin‐ichi Sasa, Shin-ichi Sasa · 1 citation
Chemical Engineering · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Phase Equilibria and Thermodynamics #Rheology and Fluid Dynamics Studies #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.67.065302
Breakdown of the intensivity of pressure is emphasized. Fig.1 and references added; accepted for publication as a Rapid Communication in Phys. Rev. E
arxiv created 2003/05/15 · openalex publication_date 2003/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We investigate how the pressure in fluctuating shear flow depends on the shear rate S and on the system size L by studying fluctuating hydrodynamics under shear conditions. We derive anomalous forms of the pressure for two limiting values of the dimensionless parameter lambda=SL(2)/nu, where nu is the kinematic viscosity. In the case lambda << 1, the pressure is not an intensive quantity because of the influence of the long-range spatial correlations of momentum fluctuations. In the other limit lambda >> 1, the long-range correlations are suppressed at large distances, and the pressure is intensive. In this case, however, there is the interesting effect that the nonequilibrium correction to the pressure is proportional to S(3/2), which was previously obtained with the projection operator method [K. Kawasaki and J. D. Gunton, Phys. Rev. A 8, 2048 (1973)].