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Related papers: Charge Regulation with Fixed and Mobile Charges

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A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

We present a theory for phase-separated liquid coacervates with salt, taking into account spatial heterogeneities and interfacial profiles. We find that charged layers of alternating sign can form around the interface while the bulk phases…

Soft Condensed Matter · Physics 2024-08-07 Arghya Majee , Christoph A. Weber , Frank Jülicher

The sliding motion of aqueous droplets on hydrohobic surfaces leads to charge separation at the trailing edge, with implications from triple-line friction to hydrovoltaic energy generation. Charges deposited on the solid surface have been…

Soft Condensed Matter · Physics 2025-09-12 Zouhir Benrahla , Tristan Saide , Louis Burnaz , Emilie Verneuil , Simon Gravelle , Jean Comtet

Onsager's variational principle is generalized to address the diffusive dynamics of an electrolyte solution composed of charge-regulated macro-ions and counterions. The free energy entering the Rayleighian corresponds to the…

Soft Condensed Matter · Physics 2025-05-26 Bin Zheng , Shigeyuki Komura , David Andelman , Rudolf Podgornik

Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction…

Statistical Mechanics · Physics 2019-10-03 G. Bokun , I. Kravtsiv , M. Holovko , V. Vikhrenko , D. di Caprio

To gain insight into the mechanism of charge-ordering transitions, which conventionally are pictured as a disproportionation of an ion M as 2M$^{n+}$ $\rightarrow$ M$^{(n+1)+}$ + M$^{(n-1)+}$, we (1) review and reconsider the charge state…

Strongly Correlated Electrons · Physics 2016-04-25 W. E. Pickett , Y. Quan , V. Pardo

We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones, -a situation advocated recently to be relevant for bird…

Soft Condensed Matter · Physics 2015-06-04 Anton Peshkov , Sandrine Ngo , Eric Bertin , Hugues Chaté , Francesco Ginelli

The Debye charging method is generalized to study the linear response properties of the asymmetric primitive model for electrolytes. Analytic results are obtained for the effective charge distributions of constituent ions inside the…

Soft Condensed Matter · Physics 2016-11-23 Mingnan Ding , Yihao Liang , Bing-Sui Lu , Xiangjun Xing

Electrostatics in the solution phase is governed by free electrical charges such as ions, as well as by bound charges that arise when a polarizable medium responds to an applied field. In a local medium, described by a constant dielectric…

Soft Condensed Matter · Physics 2025-02-04 Ali Behjatian , Ralf Blossey , Madhavi Krishnan

The distribution of counterions and the electrostatic interaction between two similarly charged dielectric slabs is studied in the strong coupling limit. Dielectric inhomogeneities and discreteness of charge on the slabs have been taken…

Biological Physics · Physics 2015-06-12 Weria Pezeshkian , Narges Nikoofard , Davood Norouzi , Farshid Mohammad-Rafiee , Hossein Fazli

We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and…

We revisit the popular notion of effective or renormalized charge, which is a concept of central importance in the field of highly charged colloidal or polyelectrolyte solutions. Working at the level of a linear Debye-H\"uckel like theory…

Soft Condensed Matter · Physics 2009-11-07 Emmanuel Trizac , Lyderic Bocquet , Miguel Aubouy

When a Coulombic fluid is confined between two parallel charged plates, an exact relation links the difference of ionic densities at contact with the plates, to the surface charges of these boundaries. It no longer applies when the…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez , Emmanuel Trizac

Computer simulations are used to investigate the response of a charged colloid and its surrounding microion cloud to an external electric field. Both static fields (DC) and alternating fields (AC) are considered. A mesoscopic simulation…

Soft Condensed Matter · Physics 2013-07-19 Jiajia Zhou , Roman Schmitz , Burkard Duenweg , Friederike Schmid

Charge separation at moving three-phase contact lines is observed in nature as well as technological processes. Despite the growing number of experimental investigations in recent years, the physical mechanism behind the charging remains…

Soft Condensed Matter · Physics 2023-05-04 Aaron D. Ratschow , Lisa S. Bauer , Pravash Bista , Stefan A. L. Weber , Hans-Jürgen Butt , Steffen Hardt

Studies of charge-charge (ion-ion, ion-electron, and electron-electron) coupling properties for ion impurities in an electron gas and for a two component plasma are carried out on the basis of a regularized electron-ion potential without…

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier

Within the framework of a functional integral formalism incorporating ionic charge and hard-core (HC) interactions on an equal footing, we formulate a unified theory of equilibrium thermodynamics and ion association in charged solutions.…

Soft Condensed Matter · Physics 2026-02-02 Sahin Buyukdagli

We consider the coupling between an external electric field and dissociated ions embedded in anisotropic polarizable media such as block copolymers. We argue that the presence of such ions can induce strong morphological changes and even…

Soft Condensed Matter · Physics 2009-11-07 Yoav Tsori , Francois Tournilhac , David Andelman , Ludwik Leibler

We generalize the predictions for attractions between over-all neutral surfaces induced by charge fluctuations/correlations to non-uniform systems that include dielectric discontinuities, as is the case for mixed charged lipid membranes in…

Soft Condensed Matter · Physics 2009-10-31 Rebecca Menes , Philip Pincus , Bean Stein