نتایج جستجو برای: debye hückel equation

تعداد نتایج: 232701  

2008
L. Šamaj

The model under consideration is a two-dimensional two-component plasma, i.e., a continuous system of two species of pointlike particles of opposite charges ±1, interacting through the logarithmic Coulomb interaction. Using the exact results for the form-factors of an equivalent Euclidean sine-Gordon theory, we derive the largedistance behavior of the pair correlation functions between charged ...

2008
D. D. Holm C. Tronci

We suggest kinetic models of dissipation for an ensemble of interacting oriented particles, for example, moving magnetized particles. This is achieved by introducing a double bracket dissipation in kinetic equations using an oriented Poisson bracket, and employing the moment method to derive continuum equations for magnetization and density evolution. We show how our continuum equations general...

Journal: :Physics of Fluids 2023

The present study is focused on micromixing enhancement techniques for electroosmotic flows in a modulated microchannel with modified topology by utilizing heated blocks the surface of microchannel. carry higher temperatures as compared to other portions channel wall, resulting sharp variation temperature fluid. species transport governed Nernst–Planck equation form adding thermo-electrochemica...

1997
Mathai Mammen Jeffrey D. Carbeck Eric E. Simanek George M. Whitesides

This work examines the influence of ions in solution on electroosmosis inside a fused silica capillary using capillary electrophoresis; it thereby examines “shielding” at charged interfaces. Theories are reviewed that model ionic solutions as continuous dielectrics: the nonlinear form of the Poisson-Boltzmann equation gives rise to the simplified, more commonly used Debye-Hückel (DH) equation. ...

Journal: :Journal of colloid and interface science 2006
Aldemar Torres René van Roij Gabriel Téllez

We extend the classical Gouy-Chapman model of two planar parallel interacting double layers, which is used as a first approximation to describe the force between colloidal particles, by considering the finite thickness of the colloids. The formation of two additional double layers due to this finite thickness modifies the interaction force compared to the Gouy-Chapman case, in which the colloid...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2014
Zhenli Xu Manman Ma Pei Liu

We propose a modified Poisson-Nernst-Planck (PNP) model to investigate charge transport in electrolytes of inhomogeneous dielectric environment. The model includes the ionic polarization due to the dielectric inhomogeneity and the ion-ion correlation. This is achieved by the self energy of test ions through solving a generalized Debye-Hückel (DH) equation. We develop numerical methods for the s...

2002
Peiming Wang Andrzej Anderko Robert D. Young

A comprehensive model has been developed for the calculation of speciation, phase equilibria, enthalpies, heat capacities and densities in mixed-solvent electrolyte systems. The model incorporates chemical equilibria to account for chemical speciation in multiphase, multicomponent systems. For this purpose, the model combines standard-state thermochemical properties of solution species with an ...

This paper is mainly focusing on the determination of mean molal activity coefficient of HCl in aqueous acidic medium. The present investigations have been carried out to determine the activity coefficients of hydrochloric acid in 2-propanol water mixture solutions under various conditions to study the ion solvent interactions in different temperatures. The standard molar potential Em0 of the c...

A new theoretical model based on the local composition concept (TNRF-mNRTL model) was proposed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. This contribution of interaction along with the long-range contribution of interaction (Pitzer-Debye-Hückel equation), configurational entropy of mixing (Flory-Huggins relation)...

2000
S. W. BIGGER P. J. WATKINS B. VERITY

The effect of ionic activity on the quenching of the quinine dication fluorescence by chloride and bromide ions is examined in solutions of sufficiently low ionic strength to enable ionic activities to be taken into account by means of the Debye-Hückel equation. An equation for the dependence of the Stern-Volmer constant on the ionic strength is derived in a novel way and an iterative, linear l...

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