A theoretical extension for the electrical conductivity of molten salts

Kusakabe, Masanobu; Takeno, Shigeharu; Kondo, Takahiro; Matsunaga, Shigeki; Tamaki, Shigeru

doi:10.1080/08927022.2011.601308

Cited by 2 publications

(9 citation statements)

References 16 publications

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“…For this, the technique of molecular dynamic simulation has been applied, using some qualified inter-particle potentials. Various theoretical attempts have been recently been made to establish the dynamical behavior of dissolved ions in these solutions, which parallel the results obtained by MD simulations [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 77%

Ionic Conduction in Electrolyte Solution

Matsunaga

Tamaki

2014

J Solution Chem

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The electrical conductivity in aqueous solutions of electrolytes has been obtained in terms of inter-particle potentials and pair distribution functions, based on a generalized Langevin equation for the cation and anion. This treatment allows us to connect and compare with the work of a computer simulation where the inter-particle potentials are the only input. The results for the concentration dependence of electrical conductivity are basically represented as a function of the square root of concentration. The electrophoretic and relaxation effects are discussed from a microscopic view point. The ionic hydration in electrolytic solution is also discussed. Available inter-particle potentials in aqueous solutions of electrolytes are proposed. The numerical application is carried out for sodium chloride and other aqueous electrolyte solutions.

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Section: Introductionmentioning

confidence: 77%

Ionic Conduction in Electrolyte Solution

Matsunaga

Tamaki

2014

J Solution Chem

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“…It is emphasized that the memory functions γ σ AE (t) is not equal to γ D AE (t)as shown in previous paper [9]. In other words, the retarded friction function, ξ AE (t À t 0 ), is a kind of vector function and is varied with the environment such as the existence of electric field E. Therefore, the memory function is varied in accordance with what sort of evolution is considered in the time-dependent correlation function [29].…”

Section: Generalized Langevin Equations For the Cation And Anion In Amentioning

confidence: 92%

“…where γ n (t) is the n-th stage memory function and the first stage memory function is equal to γ(t) in Eqs. (29) and (30). The Fourier-Laplace transform of the above equation provides the following continued-fraction representation,…”

Section: Methods Of Continued-fraction Based On Mori Formulaementioning

confidence: 99%

“…Under these circumstances, we explore a new method to solve Langevin Eqs. (29) and (30), in order to clarify a detailed correlation between γ(t) and Z σ AE (t) within the short time region, which will be shown in later section.…”

Section: Microscopic Representation For the Z σ + (T) And Z σ à (T) Imentioning

confidence: 99%

“…Here, we provide a new and useful method to solve the Langevin equation based on recursion process [29]. Its detail is shown below.…”

Section: Recursion Formulae For Z σ Ae (T) and γ(T)mentioning

confidence: 99%

See 2 more Smart Citations

Electrical Conductivity of Molten Salts and Ionic Conduction in Electrolyte Solutions

Tamaki¹,

Matsunaga²,

Kusakabe³

2020

Electromagnetic Field Radiation in Matter

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A microscopic description for the partial DC conductivities in molten salts has been discussed by using a Langevin equation for the constituent ions. The memory function γ(t) can be written as in the form of a decaying function with time. In order to solve the mutual relation between the combined-velocity correlation functions Z σ AE (t) and the memory function γ(t) in a short time region, a new recursion method is proposed. Practical application is carried out for molten NaCl by using MD simulation. The fitted function is described by three kinds of Gaussian functions and their physical backgrounds are discussed. Also the electrical conductivity in aqueous solution of electrolyte has been obtained, based on a generalized Langevin equation for cation and anion in it. This treatment can connect and compare with the work of computer simulation. The obtained results for concentration dependence of electrical conductivity are given by a function of the square root of concentration. The electrophoretic effect and the relaxation one are also discussed.

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A theoretical extension for the electrical conductivity of molten salts

Cited by 2 publications

References 16 publications

Ionic Conduction in Electrolyte Solution

Ionic Conduction in Electrolyte Solution

Electrical Conductivity of Molten Salts and Ionic Conduction in Electrolyte Solutions

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