• The original equation derived by Hückel is not the common cited in literature Born term included of A concentration-dependent relative permittivity considered In this work we present Hückel’s derivation and considerations, verifying approximations that were done his paper. More complex equations are obtained applying some approximations, these compared to equation. We explore use both a linea...

Results on the correlations of low density classical and quantum Coulomb systems at equilibrium in three dimensions are reviewed. The exponential decay of particle correlations in the classical Coulomb system – Debye-Hückel screening – is compared and contrasted with the quantum case where strong arguments are presented for the absence of exponential screening. Results and techniques for detail...

We generalize the inverse patchy colloid model that was originally developed for heterogeneously charged particles with two identical polar patches and an oppositely charged equator to a model that can have a considerably richer surface pattern. Based on a Debye-Hückel framework, we propose a coarse-grained description of the effective pair interactions that is applicable to particles with an a...

A Toy Model of an artificial chemistry that treats molecules as graphs was implemented based on a simple Extended Hückel Theory method. Here we describe an extension of the model that models chemical reactions as the result of “collisions”. In order to avoid a possible bias arising from prescribed generic reaction mechanisms, the reactions are simulated in a way that treats the formation and br...

An extended Debye–Hückel theory with fourth order gradient term is developed for electrolyte solutions; namely, the electric potential φ(r) of bulk solution can be described by ∇2φ(r) = κ2φ(r) + LQ2∇4φ(r), where parameters κ and LQ are chosen to reproduce first two roots dielectric response function solution. Three boundary conditions solving problem proposed based upon continuity involving fun...

We study the equations of a two dimensional incompressible Newtonian fluid coupled with a dispersive parabolic-elliptic system on bounded domains. Global in time weak solutions are shown to exist and converge with a rate to the stationary solution for L 2 initial data. This paper extends and improves on a body of work surrounding the Debye-Hückel system to the hydrodyanamical case.

This potential has a short range repulsive part due to the electrostatics and a long-range attractive part due to the dipolar interaction as described in [? ]. It is expressed in units of kBT . We provide below the values of the experimental parameters entering in this potential corresponding to the τ = 2s experiment described in the main text. The electrostatic part of the potential is obtaine...

Recently an improved long-range model for electrolyte solutions was developed that is applicable from infinite dilution to pure salt. This paper tests this claim the first time applying it calculation of liquid-liquid equilibria mixtures different ionic liquids (ILs) and water. The conventional Pitzer-Debye-Hückel (PDH) equation compared two its new, thermodynamically consistent extensions. Bot...