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The Self-Consistent Field theory of brushes of neutral water-soluble polymers described by two-state models is formulated in terms of the effective Flory interaction parameter $\chi_{eff}(T,\phi)$ that depends on both temperature, T and the…

Soft Condensed Matter · Physics 2016-08-31 Vladimir A. Baulin , Ekaterina B. Zhulina , Avi Halperin

Ionic liquids (ILs) are appealing electrolytes for their favorable physicochemical properties. However, despite their longstanding use, understanding the capacitive behavior of ILs remains challenging. This is largely due to the formation…

Soft Condensed Matter · Physics 2024-01-02 YeongKyu Lee , JunBeom Cho , Yongkyu Lee , Won Bo Lee , YongSeok Jho

We investigate the modification of gas phase ion polarizabilities upon solvation in polar solvents and ionic liquids. To this aim, we develop a classical electrostatic theory of charged liquids composed of solvent molecules modeled as…

Soft Condensed Matter · Physics 2015-06-15 Sahin Buyukdagli , Tapio Ala-Nissila

Solid-state electrolytes, by enabling lithium metal anodes, may significantly increase the energy density of current lithium-ion batteries. However, similar to their liquid counterparts, these hard and stiff electrolytes can still be…

Chemical Physics · Physics 2024-10-04 Rajeev Gopal , Longan Wu , Youngju Lee , Jinzhao Guo , Peng Bai

A novel dielectric scheme is proposed for strongly coupled electron liquids that handles quantum mechanical effects beyond the random phase approximation level and treats electronic correlations within the integral equation theory of…

Statistical Mechanics · Physics 2023-04-12 Panagiotis Tolias , Federico Lucco Castello , Tobias Dornheim

The kinetic behavior of a phase field model of electrochemistry is explored for advancing (electrodeposition) and receding (electrodissolution) conditions in one dimension. We described the equilibrium behavior of this model in [J. E.…

Materials Science · Physics 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden

The Poisson Boltzmann equation is known for its success in describing the Debye layer that arises from the charge separation phenomenon at the silica/water interface. However, by treating only the mobile ionic charges in the liquid, the…

Soft Condensed Matter · Physics 2019-07-30 Maijia Liao , Li Wan , Shixin Xu , Chun Liu , Ping Sheng

The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

Chemical Physics · Physics 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

The non-equilibrium steady states of a semi-infinite quasi-one-dimensional univalent binary electrolyte solution, characterised by non-vanishing electric currents, are investigated by means of Poisson-Nernst-Planck (PNP) theory. Exact…

Soft Condensed Matter · Physics 2024-01-09 Markus Bier

The mathematical theory of integrable Painleve/Toda type systems sheds new light on the behavior of solutions to the Poisson-Boltzmann equation for the potential due to a long rod-like macroion. We investigate here the case of symmetric…

Soft Condensed Matter · Physics 2009-11-11 G. Tellez , E. Trizac

In this paper we analyze the motion of charged particles in a vacuum tube diode by solving linear differential equations. Our analysis is based on expressing the volume charge density as a function of the current density and coordinates…

Plasma Physics · Physics 2019-02-20 Gabriel Gonzalez , Fco. Javier Gonzalez Orozco

The properties of a partially ionized plasma in a long cylindrical tube subject to a uniform axial electric field are investigated. The plasma is maintained by an external ionizing source balanced by bulk and surface recombinations.…

Plasma Physics · Physics 2009-10-30 Joel L. Lebowitz , Alexander Rokhlenko

A model of a finite cylindrical ion channel through a phospholipid membrane of width $L$ separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside…

Soft Condensed Matter · Physics 2009-11-11 Yan Levin

Understanding the electrical double layer (EDL), i.e, the distribution of electrolyte at an electrified interface, in concentrated electrolytes is important for various technologies, such as supercapacitors, batteries and electrocatalysis.…

Soft Condensed Matter · Physics 2026-05-01 Zachary A. H. Goodwin

Charge profiles in liquid electrolytes are of crucial importance for applications, such as supercapacitors, fuel cells, batteries, or the self-assembly of particles in colloidal or biological settings. However, creating localised (screened)…

Soft Condensed Matter · Physics 2021-03-17 Jeffrey C. Everts , Miha Ravnik

Electromechanics in fluids describes the response of the number density to electric fields, and thus provides a powerful means by which to control the behavior of liquids. While continuum approaches have proven successful in describing…

Soft Condensed Matter · Physics 2025-07-10 Anna T. Bui , Stephen J. Cox

The physical chemistry of liquid-liquid phase separation (LLPS) of polymer solutions bears directly on the assembly of biologically functional droplet-like bodies from proteins and nucleic acids. These biomolecular condensates include…

Biomolecules · Quantitative Biology 2020-01-31 Yi-Hsuan Lin , Jacob P. Brady , Hue Sun Chan , Kingshuk Ghosh

Ionic liquids are promising candidates for novel electrolytes as they possess large electrochemical and thermodynamic stability and offer a high degree of tunability. As purely-ionic electrolyte without neutral solvent they exhibit…

Chemical Physics · Physics 2022-01-12 Max Schammer , Birger Horstmann , Arnulf Latz

Nonlinear field dependence of electrophoresis in high fields has been investigated theoretically, yet experimental studies have failed to reach consensus on the effect. In this work, we present a systematic study on the nonlinear…

Soft Condensed Matter · Physics 2019-07-10 Soichiro Tottori , Karolis Misiunas , Ulrich F. Keyser , Douwe Jan Bonthuis

Room temperature ionic liquids are attractive to numerous applications and particularly, to renewable energy devices. As solvent free electrolytes, they demonstrate a paramount connection between the material morphology and Coulombic…

Chemical Physics · Physics 2016-03-15 Nir Gavish , Arik Yochelis