Intermolecular forces are modeled by means of a modified Lennard-Jones potential, introducing a distance of minimum approach, and the effect of intermolecular interactions is accounted for with a self consistent field of the Vlasov type. A Vlasov equation is then written and used to investigate the propagation of perturbations in a liquid. A dispersion relation is obtained and an effect of damping, analogous to what is known in plasmas as "Landau damping", is found to take place.
Intermolecular forces are modeled by means of a modified Lennard-Jones potential, introducing a distance of minimum approach, and the effect of intermolecular interactions is accounted for with a self consistent field of the Vlasov type. A Vlasov equation is then written and used to investigate the propagation of perturbations in a liquid. A dispersion relation is obtained and an effect of damping, analogous to what is known in plasmas as "Landau damping", is found to take place.
“…Long range interactions are by nature multi-body, and are best investigated introducing a Vlasov self consistent field. The forces responsible for the long range interactions between non-polar molecules are generally assumed to be only function of the separation r. In the present work the intermolecular force will be modeled with the Sutherland potential ( ) r ϕ , defined as follows [7,8,9]:…”
Section: Self Consistent Vlasov Field From Van Der Waals Interactionmentioning
confidence: 99%
“…Again, the above expression has been obtained considering only the effect of collective motion, neglecting correlations. Therefore it is particularly suited for investigating organized collective motions, such as waves, or particular effects in finite media, such as surface tension [9], or yet the diffusion and heat flux generated by density and temperature gradients.…”
Section: Self Consistent Vlasov Field From Van Der Waals Interactionmentioning
The percolation of a liquid through a porous material is investigated with the help of equations of the Onsager type. An expression is derived for the molecular attraction, starting from Sutherland's potential approximation to the van der Waals interaction. Then appropriate Onsager equations incorporating this molecular attraction are written from transport theory considerations, in terms of dimensionless variables. As an application, the system of self-similar equations so derived is applied to a simplified situation.
“…In ‘thin' wetting films the thicknesses can reach just a few nanometers , or even a few Ångstroms . The left-hand side of Figure describes the decrease of the interfacial tension, γ AB , of a spherical molecular aggregate (droplike) with the decrease in aggregate size (toward γ AB = 0 when the aggregate is comprised of just one molecule) which was studied to some extent − and is shown here only for comparison. 1 Interfacial tension is a function of shape and size. − (a) Big spherical drop consisting of A molecules surrounded by a medium of B molecules.…”
We present a modified mathematical expression for the interfacial tension of very thin films. At large thicknesses the modified expression converges to the classic mathematical expression. We use this modified expression to derive an equation for the spreading coefficient as a function of film thickness. The spreading coefficient equation is then used to calculate the equilibrium thickness of a wetting liquid film for a "pancake drop". Our predictions agree with experimental data. The study is subjected to systems with van der Waals interactions only.
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