Based on statistical mechanics for classical fluids, the general expressions for the elastic moduli of inhomogeneous fluid are derived and expressed as functionals of density functions. Within the framework of classic...Based on statistical mechanics for classical fluids, the general expressions for the elastic moduli of inhomogeneous fluid are derived and expressed as functionals of density functions. Within the framework of classical density functional theory, the bulk modulus of confined argon in slit pore is calculated under different conditions. The effects of vapor pressure, temperature, and pore width on modulus are calculated and investigated. Obvious confinement-induced effect has been observed in the confined argon. In addition, the solvation pressure dependence of the bulk modulus is also investigated,and the results suggest that the Tait–Murnaghan equation is still valid for the confined fluids.展开更多
Based on statistical mechanics for classical fluids,general expressions for hydrodynamic stress in inhomogeneous colloidal suspension are derived on a molecular level.The result is exactly an extension of the Iving-Ki...Based on statistical mechanics for classical fluids,general expressions for hydrodynamic stress in inhomogeneous colloidal suspension are derived on a molecular level.The result is exactly an extension of the Iving-Kirkwood stress for atom fluids to colloidal suspensions where dynamic correlation emerges.It is found that besides the inter-particle distance,the obtained hydrodynamic stress depends closely on the velocity of the colloidal particles in the suspension,which is responsible for the appearance of the solvent-mediated hydrodynamic force.Compared to Brady’s stresslets for the bulk stress,our results are applicable to inhomogeneous suspension,where the inhomogeneity and anisotropy of the dynamic correlation should be taken into account.In the near-field regime where the packing fraction of colloidal particles is high,our results can reduce to those of Brady.Therefore,our results are applicable to the suspensions with low,moderate,or even high packing fraction of colloidal particles.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.21503077)the Fundamental Research Fund for the Central Universities of China(Grant No.2016MS156)the Research Project from Hebei Education Department,China(Grant No.QN2018119)
文摘Based on statistical mechanics for classical fluids, the general expressions for the elastic moduli of inhomogeneous fluid are derived and expressed as functionals of density functions. Within the framework of classical density functional theory, the bulk modulus of confined argon in slit pore is calculated under different conditions. The effects of vapor pressure, temperature, and pore width on modulus are calculated and investigated. Obvious confinement-induced effect has been observed in the confined argon. In addition, the solvation pressure dependence of the bulk modulus is also investigated,and the results suggest that the Tait–Murnaghan equation is still valid for the confined fluids.
基金Supported by the National Natural Science Foundation of China under Grant No.21503077the Fundamental Research Fund for the Central Universities of China under Grant No.2016MS156the Research Project from Hebei Education Department under Grant No.QN2018119
文摘Based on statistical mechanics for classical fluids,general expressions for hydrodynamic stress in inhomogeneous colloidal suspension are derived on a molecular level.The result is exactly an extension of the Iving-Kirkwood stress for atom fluids to colloidal suspensions where dynamic correlation emerges.It is found that besides the inter-particle distance,the obtained hydrodynamic stress depends closely on the velocity of the colloidal particles in the suspension,which is responsible for the appearance of the solvent-mediated hydrodynamic force.Compared to Brady’s stresslets for the bulk stress,our results are applicable to inhomogeneous suspension,where the inhomogeneity and anisotropy of the dynamic correlation should be taken into account.In the near-field regime where the packing fraction of colloidal particles is high,our results can reduce to those of Brady.Therefore,our results are applicable to the suspensions with low,moderate,or even high packing fraction of colloidal particles.
