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Phase-field models are a popular choice in computational physics to describe complex dynamics of substances with multiple phases and are widely used in various applications. We present nonlocal non-isothermal phase-field models of…

Analysis of PDEs · Mathematics 2023-10-13 Olena Burkovska

Ionic crystals, such as solid electrolytes and complex oxides, are central to modern technologies for energy storage, sensing, actuation, and other functional applications. An important fundamental issue in the atomic and quantum-scale…

Materials Science · Physics 2026-02-12 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

The quantum path integral/classical liquid-state theory of Chandler and co-workers, created to describe an excess electron in solvent, is re-examined for the hydrated electron. The portion that models electron-water density correlations is…

Soft Condensed Matter · Physics 2021-07-06 James P. Donley , David R. Heine , Caleb A. Tormey , David T. Wu

In the present work, we address a class of Cahn-Hilliard equations characterized by a singular diffusion term. The problem is a simplified version with constant mobility of the Cahn-Hilliard-de Gennes model of phase separation in binary,…

Analysis of PDEs · Mathematics 2012-06-26 Giulio Schimperna , Irena Pawlow

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

Thermal motions in the 2D Lennard-Jones liquid near solidification are studied at equilibrium and under shear flow conditions. At the temperatures of the study, the liquid is significantly aggregated. On times of few to few tens of…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Alexander Z. Patashinski , Rafal Orlik , Mark A. Ratner

We study the electric double layer by combining the effects of ion finite size and dielectric decrement. At high surface potential, both mechanisms can cause saturation of the counter-ion concentration near a charged surface. The modified…

Soft Condensed Matter · Physics 2015-03-31 Yasuya Nakayama , David Andelman

The phase behavior of ionic fluids on simple cubic and tetragonal (anisotropic) lattices has been studied by grand canonical Monte Carlo simulations. Systems with both the true lattice Coulombic potential and continuous-space $1/r$…

Statistical Mechanics · Physics 2016-08-31 Vladimir Kobelev , Anatoly B. Kolomeisky , Athanassios Z. Panagiotopoulos

By means of extensive equilibrium molecular dynamics simulations we have investigated, the behavior of the interfacial tension $\gamma$ of two immiscible symmetrical Lennard-Jones fluids. This quantity is studied as function of reduced…

Statistical Mechanics · Physics 2016-08-15 Enrique Diaz-Herrera , José Alejandre , Guillermo Ramírez-Santiago , F. Forstmann

The purpose of this study is to provide data for the primitive model of the electrical double layer, where ions are modeled as charged hard spheres, the solvent as an implicit dielectric background (with dielectric constant $\epsilon=…

Soft Condensed Matter · Physics 2017-12-01 Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

A Ginzburg-Landau theory is presented on surfactants in polar binary mixtures, which aggregate at an interface due to the amphiphilic interaction. They can be ionic surfactants coexisting with counterions. Including the solvation and image…

Soft Condensed Matter · Physics 2009-11-13 Akira Onuki

In this tutorial we discuss the chemical potential of ions in water (i.e., in a salt solution, in an electrolyte phase) and inside (charged) nanoporous materials such as porous membranes. In water treatment, such membranes are often used to…

Chemical Physics · Physics 2025-06-25 P. M. Biesheuvel

We consider a binary Lennard-Jones glassformer whose super-Arrhenius dynamics are correlated with the formation of particles organized into icosahedra under simple steady state shear. We recast this glassformer as an effective system of…

Soft Condensed Matter · Physics 2017-12-27 Rhiannon Pinney , Tanniemola B. Liverpool , C. Patrick Royall

An increasing current through a superconductor can result in a discontinuous increase in the differential resistance at the critical current. This critical current is typically associated either with breaking of Cooper-pairs (de-pairing) or…

Superconductivity · Physics 2020-07-01 Adam Doron , Tal Levinson , Franzisca Gorniaczyk , Idan Tamir , Dan Shahar

Density functional theory is used to describe electrolyte solutions in contact with electrodes of planar or spherical shape. For the electrolyte solutions we consider the so-called civilized model, in which all species present are treated…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

We find that both continuous and discontinuous hexatic-liquid transitions can happen in the melting of two-dimensional solids of soft-core disks. For three typical model systems, Hertzian, harmonic, and Gaussian-core models, we observe the…

Soft Condensed Matter · Physics 2016-08-19 Mengjie Zu , Jun Liu , Hua Tong , Ning Xu

The interaction between polyelectrolyte and ionic surfactant is of great importance in different areas of chemistry and biology. In this paper we present a theory of polyelectrolyte ionic-surfactant solutions. The new theory successfully…

Condensed Matter · Physics 2009-10-31 Paulo S. Kuhn , Yan Levin , Marcia C. Barbosa

We study the electro-hydrodynamics of the Debye screening layer that arises in an aqueous binary solution near a planar insulating wall when applying a spatially modulated AC-voltage. Combining this with first order perturbation theory we…

Soft Condensed Matter · Physics 2007-05-23 N. A. Mortensen , L. H. Olesen , L. Belmon , H. Bruus

The superconducting properties of a layered system are analyzed for the cases of zero- and non-zero angular momentum of the pairs. The effective thermodynamic potential for the quasi-2D XY-model for the gradients of the phase of the order…

Superconductivity · Physics 2009-11-10 V. M. Loktev , V. Turkowski

The electrostatic double layer force is key to determining the stability and self-assembly of charged colloids and many other soft matter systems. Fully understanding the attractive force between two like-charged surfaces remains a great…

Soft Condensed Matter · Physics 2024-02-27 Nikhil R. Agrawal , Ravtej Kaur , Carlo Carraro , Rui Wang