In this work we undertake the upscaling of a system of partial differential equations describing transport of a dilute N -component electrolyte in a Newtonian solvent through a rigid porous medium. The motion is governed by a small static electric field and a small hydrodynamic force, which allows us to calculate the linear response regime in a way initially proposed by O’Brien. The O’Brien par...

We consider a classical two-component plasma analog of the restricted primitive model electrolyte, where hard-core interaction is replaced by soft differentiable potential. Within Born–Green–Yvon hierarchy for equilibrium distribution functions, we shed light on an infection mechanism charge correlations are polluted density at critical point liquid–gas transition. This should imply algebraic d...

The Debye-Hückel limiting law (DHL) has often been used to estimate rate constants of diffusion-controlled reactions under different ionic strengths. Two main approximations are adopted in DHL: one is that the solution of the linearized Poisson-Boltzmann equation for a spherical cavity is used to estimate the excess electrostatic free energy of a solution; the other is that details of electrost...

The theoretical Green-Kubo relation for viscosity is tested using experimentally obtained data. In a dusty plasma experiment, micron-sized dust particles are introduced into a partially ionized argon plasma, where they become negatively charged. They are electrically levitated to form a single-layer Wigner crystal, which is subsequently melted using laser heating. In the liquid phase, these dus...

the solubility of kno3 in the mixed solvent (water 85%+methanol 15%) were determined by using solvent evaporating method at different temperatures (25, 30, 40, 50, 60 ;c). in addition the equilibrium constant of ion pair formation, kip, for k+no3 – ion-pair on the basis of fuoss contact ion pair model was calculated. upon choosing the extended debye-hückel model for estimating the mean activity...

Hofmeister (ion specic) effects are phenomena related to the chemical nature of electrolytes. Although they are ubiquitous in all chemical, colloidal, and biological systems, they cannot be quantied in terms of the conventional physico-chemical theories (i.e. Debye–Hückel, DLVO, etc.). These are limit theories, based on electrostatics, and valid at innite dilution only. The gap between theor...

We consider equilibrium statistical mechanics of a simplified model for the ideal conductor electrode in an interface contact with a classical semi-infinite electrolyte, modeled by the twodimensional Coulomb gas of pointlike ± unit charges in the stability-against-collapse regime of reduced inverse temperatures 0 ≤ β < 2. If there is a potential difference between the bulk interior of the elect...