An analytical solution is developed for the unsteady flow of fluid through a parallel rotating plate microchannel, under the influence of electrokinetic force using the Debye–Hückel (DH) approximation. Transient Navier–Stokes equations are solved exactly in terms of the cosine Fourier series using the separation of variables method. The effects of frame rotation frequency and electroosmotic for...

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...

In this work, we consider a lattice-gas model of charge regulation with electrostatic interactions within the Debye–Hückel level approximation. addition to long-range interactions, incorporates nearest-neighbor for representing non-electrostatic forces between adsorbed ions. The Frumkin–Fowler–Guggenheim isotherm obtained from mean-field analysis accurately reproduces simulation data points.

We study the statistical mechanics of a multicomponent two-dimensional Coulomb gas which lives on a finite surface without boundaries. We formulate the Debye– Hückel theory for such systems, which describes the low-coupling regime. There are several problems, which we address, to properly formulate the Debye–Hückel theory. These problems are related to the fact that the electric potential of a ...

In their seminal paper of 1923, Debye and Hückel provided the first appropriate description effect ionic strength on thermodynamic properties dilute electrolyte solutions. This landmark work paved way for what was later called primitive model electrolytes. At this level, an solution is modeled as a collection charged hard spheres in dielectric continuum that manifests itself only through its co...

The structural properties of model microgel particles are investigated by molecular dynamics simulations applying a coarse-grained model. A microgel is comprised of a regular network of polymers internally connected by tetra-functional cross-links and with dangling ends at its surface. The self-avoiding polymers are modeled as bead-spring linear chains. Electrostatic interactions are taken into...

The linearized Debye-Hückel theory for liquid state is shown to provide thermodynamically consistent virial and energy routes for any potential and for any dimensionality. The importance of this result for bounded potentials is discussed.

The charge reduction effect, produced by the nonlinear Debye screening of high-Z charges occuring in strongly-coupled plasmas, is investigated. An analytic asymptotic expression is obtained for the charge reduction factor (fc) which determines the Debye-Hückel potential generated by a charged test particle. Its relevant parametric dependencies are analyzed and shown to predict a strong charge r...

Hot potassium carbonate (PC) solution in comparison with amine solution had a decreased energy of regeneration and a high chemical solubility of . To present vapor and liquid equation (VLE) of this system and predict  solubility, the ion specific non-electrolyte Wilson-NRF local composition model (isNWN) was used in this study; the framework of this model was molecular. Therefore, it was suitab...