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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

Dissolved ions can alter the local permittivity of water, nevertheless most theories and simulations ignore this fact. We present a novel algorithm for treating spatial and temporal variations in the permittivity and use it to measure the…

Soft Condensed Matter · Physics 2015-09-15 Florian Fahrenberger , Owen A. Hickey , Jens Smiatek , Christian Holm

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

This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

Soft Condensed Matter · Physics 2009-09-25 Roland R. Netz , David Andelman

It was proposed in arXiv:1008.2944 that, for certain gauge theories with gravity duals, electrical conductivity at finite chemical potential is universal. Here we provide a general proof that, when matter stress tensor satisfies a compact…

High Energy Physics - Theory · Physics 2011-04-04 Sayan K. Chakrabarti , Shankhadeep Chakrabortty , Sachin Jain

The electromagnetic potential is the only force relevant to understand polyelectrolytes and it should enables us to reveal all polyelectrolytes properties. We argue that dielectric spectroscopy probes the average dipole moment of the pure…

Biological Physics · Physics 2020-03-26 Danijel Grgičin

Recent experiments measuring the electrical conductivity of DNA molecules highlight the need for a theoretical model of ion transport along a charged surface. Here we present a simple theory based on the idea of unbinding of ion pairs. The…

Soft Condensed Matter · Physics 2009-10-23 Brian Skinner , M. S. Loth , B. I. Shklovskii

Ion-pairing is commonly considered as a culprit for the reduced ionic conductivity in polymer electrolyte systems. However, this simple thermodynamic picture should not be taken literally, as ion-pairing is a dynamical phenomenon. Here we…

Soft Condensed Matter · Physics 2021-08-31 Harish Gudla , Yunqi Shao , Supho Phunnarungsi , Daniel Brandell , Chao Zhang

The effective quasistatic conductivity of composite polymeric electrolytes is studied in terms of a hard-core--penetrable-layer model. Used to incorporate the interface phenomena (such as amorphization of the polymer matrix around filler…

Materials Science · Physics 2019-11-05 M. Ya. Sushko , A. K. Semenov

A new quantitative theory for polyelectrolytes in salt free dilute solutions is developed. Depending on the electrostatic interaction strength, polyelectrolytes in solutions can undergo strong stretching (with polyelectrolyte dimension…

Soft Condensed Matter · Physics 2009-10-31 N. V. Brilliantov , D. V. Kuznetsov , R. Klein

A robust non-Newtonian fluid model of dilute polyelectrolyte solutions is derived from kinetic theory arguments. Polyelectrolyte molecules are modeled as finitely elongated nonlinear elastic dumbbells, where effective charges (interacting…

Soft Condensed Matter · Physics 2020-06-05 Dmitry Shogin , Per Amund Amundsen

The problem of charged polymer chains (polyelectrolytes) as they adsorb on a planar surface is addressed theoretically. We review the basic mechanisms and theory underlying polyelectrolyte adsorption on a single surface in two situations:…

Soft Condensed Matter · Physics 2012-01-31 David Andelman , Jean-Francois Joanny

As a material property and as a metaphor, thermal conductivity occupies an important position in physical, biological and geological sciences. Yet, its precise measurement is dependent on using electricity as a proxy because flowing heat…

History and Philosophy of Physics · Physics 2015-05-18 T. N. Narasimhan

Electrolyte theories enable to describe the structural and dynamical properties of simple electrolytes in solution, such as sodium chloride in water. Using these theories for aqueous solutions of charged nanoparticles is a straightforward…

Soft Condensed Matter · Physics 2020-02-03 Vincent Dahirel , Olivier Bernard , Marie Jardat

This work presents conclusive observations about the long lasting topic of eumelanins' electronic vs. ionic conduction, allowing to access unprecedented conductivity of this mammal pigment. Key strengths of the study include, the easy…

We address the long standing problem of the dependence of the electrostatic persistence length $l_e$ of a flexible polyelectrolyte (PE) on the screening length $r_s$ of the solution within the linear Debye-Huckel theory. The standard Odijk,…

Soft Condensed Matter · Physics 2009-11-07 T. T. Nguyen , B. I. Shklovskii

The ``flow'' of electric currents and heat in standard metals is diffusive with electronic motion randomized by impurities. However, for ultraclean metals, electrons can flow like water with their flow being described by the equations of…

Strongly Correlated Electrons · Physics 2023-03-28 Lars Fritz , Thomas Scaffidi

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

The electronic conductance of a molecule making contact to electrodes is determined by the coupling of discrete molecular states to the continuum electrode density of states. Interactions between bound states and continua can be modeled…

Other Condensed Matter · Physics 2007-05-23 Thomas M. Henderson , Giorgos Fagas , Eoin Hyde , James C. Greer

Polymer electrolytes (PEs) are promising candidates for use in next-generation high-voltage batteries, as they possess advantageous elastic and electrochemical properties. However, PEs still suffer from low ionic conductivity and need to be…

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