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The electric conductivity of ionic solutions is well understood at low ionic concentrations of up to a few millimolar but becomes difficult to unravel at higher concentrations that are still common in nature and technological applications.…

Soft Condensed Matter · Physics 2023-01-03 Yael Avni , David Andelman , Henri Orland

The conductivity of ionic solutions is arguably their most important trait, being widely used in electrochemical, biochemical, and environmental applications. The Debye-H\"uckel-Onsager theory successfully predicts the conductivity at very…

Soft Condensed Matter · Physics 2023-01-03 Yael Avni , Ram M. Adar , David Andelman , Henri Orland

When electrolyte solutions are confined in micro- and nanochannels their conductivity is significantly different from those in a bulk phase. Here we revisit the theory of this phenomenon by focusing attention on the reduction in the ion…

Soft Condensed Matter · Physics 2023-11-08 Olga I. Vinogradova , Elena F. Silkina

We discuss the peculiarities of the Ohm law in dilute polyelectrolytes containing a relatively low concentration of the multiply-charged colloidal particles. It is demonstrated that in this conditions, the effective conductivity of…

Soft Condensed Matter · Physics 2020-01-07 I. Chikina , V. Shikin , Andrey Varlamov

The conductivity of concentrated salt solutions has posed a real puzzle for theories of electrolytes. Despite a quantitative understanding of dilute solutions, an analytical theory for concentrated ones remains a challenge for almost a…

Chemical Physics · Physics 2025-12-30 Olga I Vinogradova , Elena F Silkina

We present new data for the electrical conductivity of foams in which the liquid fraction ranges from two to eighty percent. We compare with a comprehensive collection of prior data, and we model all results with simple empirical formul\ae.…

Soft Condensed Matter · Physics 2007-05-23 K. Feitosa , S. Marze , A. Saint-Jalmes , D. J. Durian

The technique presented here for the measurement of electrical conductivity is based on the principle that the current converges on a small disk electrode. Most of the ohmic resistance therefore lies within a narrow region surrounding the…

Chemical Physics · Physics 2017-12-21 Rajkumar S. Patil , Vinay A. Juvekar , Umesh Nalage

We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions and fixed nuclei. Away from appropriate collisions, we prove the real analyticity of all the reduced densities and density…

Analysis of PDEs · Mathematics 2023-03-30 Thierry Jecko , Camille Noûs

Describing analytically the transport properties of electrolytes, such as their conductivity or the self-diffusion of the ions, has been a central challenge of chemical physics for almost a century. In recent years, this question has…

Soft Condensed Matter · Physics 2023-09-21 Olivier Bernard , Marie Jardat , Benjamin Rotenberg , Pierre Illien

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

High-concentration aqueous electrolytes have shown promise as candidates for a safer, lower-cost battery system. Ionic conductivity is a key property required in high performing electrolytes; the Advanced Electrolyte Model (AEM) has…

The conventional classification of electrolyte solutions as 'strong' or 'weak' accounts for their charge transport properties, but neglects their mass transport properties, and is not readily applicable to highly concentrated solutions.…

Soft Condensed Matter · Physics 2021-03-15 Bernhard Roling , Janosch Kettner , Vanessa Miß

Correlated anion and cation motion can significantly reduce the overall ion conductivity in electrolytes versus the ideal conductivity calculated based on the diffusion constants alone. Using coarse-grained molecular dynamics simulations,…

Soft Condensed Matter · Physics 2020-06-01 Kuan-Hsuan Shen , Lisa M. Hall

Stochastic density functional theory is applied to analyze the conductivity of strong two species electrolytes at arbitrary field strengths. The corresponding stochastic equations for the density of the electrolyte species are solved by…

Statistical Mechanics · Physics 2016-05-04 Vincent Démery , David S Dean

Electrostatic correlations between ions dissolved in water are known to impact their transport properties in numerous ways, from conductivity to ion selectivity. The effects of these correlations on the solvent itself remain, however, much…

Soft Condensed Matter · Physics 2024-01-31 Paul Robin

Nonlinear conductivity effects are studied experimentally and theoretically for thin samples of disordered ionic conductors. Following previous work in this field the {\it experimental nonlinear conductivity} of sodium ion conducting…

Materials Science · Physics 2009-11-11 Andreas Heuer , Sevi Murugavel , Bernhard Roling

In a recent paper Arita et al. [Phys. Rev. E 90, 052108 (2014)] consider the transport properties of a class of generalized exclusion processes. Analytical expressions for the transport-diffusion coefficient are derived by ignoring…

Statistical Mechanics · Physics 2016-07-05 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

It is shown that the experimental results reported in cond-mat/0010412 do not invalidate the well-known expression for the Kelvin force density in ferrofluids.

Materials Science · Physics 2009-11-07 A. Engel

We discuss the applicability of the Boltzmann equation to the classical two-dimensional electron gas. We show that in the presence of both the electron-impurity and electron-electron scattering the Boltzmann equation can be inapplicable and…

Strongly Correlated Electrons · Physics 2009-11-07 M. Hruska , B. Spivak

The conductivity of strong electrolytes increases under high electric fields, a nonlinear response known as the first Wien effect. Here, using molecular dynamics simulations we show that this increase is almost suppressed in moderately…

Soft Condensed Matter · Physics 2024-11-22 Hélène Berthoumieux , Vincent Démery , A. C. Maggs
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