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The specific heat capacity of a two-dimensional electron gas is derived for two types of the density of states, namely, the Dirac delta function spectrum and that based on a Gaussian function. For the first time, a closed form expression of…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Cristine Villagonzalo , Rayda Gammag

The mesoscopic field theory for ionic systems [A. Ciach and G. Stell, J. Mol. Liq. 87, 255 (2000)] is extended to the system with charged boundaries. A very simple expression for the excess grand potential functional of the charge density…

Soft Condensed Matter · Physics 2018-11-20 Alina Ciach

Ionic liquids offer unique bulk and interfacial characteristics as battery electrolytes. Our continuum approach naturally describes the electrolyte on a macroscale. An integral formulation for the molecular repulsion,which can be…

Chemical Physics · Physics 2022-11-30 Max Schammer , Arnulf Latz , Birger Horstmann

We present a numerical study of double-diffusive convection characterized by a stratification unstable to thermal convection while at the same time a mean molecular weight (or solute concentration) difference between top and bottom…

Fluid Dynamics · Physics 2019-06-28 Florian Zaussinger , Friedrich Kupka

The short-time stability of concentration profiles in coherent periodic multilayers consisting of two components with large miscibility gap is investigated by analysing stationary solutions of the Cahn-Hilliard diffusion equation. The…

Materials Science · Physics 2009-10-31 Martina Hentschel , Manfred Bobeth , Gerhard Diener , Wolfgang Pompe

Variation of voltage profiles with different time scales leads to the redistribution of deposited energy as well as electro-hydrodynamic forces, while the mechanism and scaling law is still unknown. On the basis of theoretical and numerical…

Plasma Physics · Physics 2020-12-02 Yifei Zhu , Yun Wu

A recently proposed local second contact value theorem [Henderson D., Boda D., J. Electroanal. Chem., 2005, 582, 16] for the charge profile of an electric double layer is used in conjunction with the existing Monte Carlo data from the…

Soft Condensed Matter · Physics 2012-07-16 L. B. Bhuiyan , D. Henderson , S. Sokołowski

We study the response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

Fluid Dynamics · Physics 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

Surface-active agents (surfactants) release potential energy as they migrate from one of two adjacent fluids onto their fluid-fluid interface, a process that profoundly impacts the system's energy and entropy householding. The continuum…

Fluid Dynamics · Physics 2024-05-29 T. B. van Sluijs , S. K. F. Stoter , E. H. van Brummelen

Here we investigate a limiting case of the theory for aggregation and gelation in the electrical double layer (EDL) of ionic liquids (ILs). The limiting case investigated only accounts for ion pairs, ignoring the possibility of larger…

Soft Condensed Matter · Physics 2022-09-09 Zachary A. H. Goodwin , Alexei A. Kornyshev

Ionic behaviors, including ion distributions and hydration characteristics at solid-liquid interfaces, are important research interests in many important applications, such as electric double-layer capacitors and water lubrication. Here, we…

Chemical Physics · Physics 2025-12-08 Bowen Ai , Zekun Gong , Long Ma , Hongwen Zhang , Tianyi Sui , Yinghua Qiu

A model for ionic solutions with an attractive short-range pair interaction between the ions is presented. The short-range interaction is accounted for by adding a quadratic non-local term to the Poisson-Boltzmann free energy. The model is…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

In this paper, we make use of the exact hydrodynamic solution for the Stokes equation for the velocity of a binary ionic solution that we have recently obtained, and show that the nonequilibrium pressure in an electrolyte solution subjected…

Chemical Physics · Physics 2011-02-01 Byung Chan Eu

The classical theory of electrokinetic phenomena assumes a dilute solution of point-like ions in chemical equilibrium with a surface whose double-layer voltage is of order the thermal voltage, $k_BT/e = 25$ mV. In nonlinear…

Other Condensed Matter · Physics 2007-05-23 Martin Z. Bazant , Mustafa Sabri Kilic , Brian D. Storey , Armand Ajdari

In this paper a generalization of the Cahn-Hilliard theory of binary liquids is presented for multi-component incompressible liquid mixtures. First, a thermodynamically consistent convection-diffusion type dynamics is derived on the basis…

Materials Science · Physics 2016-02-03 Gyula I. Toth , Mojdeh Zarifi , Bjorn Kvamme

The article presents results of discrete thermodynamics (DTD) basic application to electrochemical systems. Consistent treatment of the electrochemical system as comprising two interacting subsystems - the chemical and the electrical…

Chemical Physics · Physics 2009-07-28 B. Zilbergleyt

Surfaces are able to control physical-chemical processes in multi-component solution systems and, as such, find application in a wide range of technological devices. Understanding the structure, dynamics and thermodynamics of non-ideal…

Soft Condensed Matter · Physics 2023-09-29 Aaron R. Finney , Matteo Salvalaglio

A theory of a confined two dimensional electrolyte is presented. The positive and negative ions, interacting by a $1/r$ potential, are constrained to move on an interface separating two solvents with dielectric constants $\epsilon_1$ and…

Statistical Mechanics · Physics 2009-11-07 J. E. Flores-Mena , Marcia C. Barbosa , Yan Levin

An electric double layer capacitor (EDLC) stores energy by modulating the spatial distribution of ions in the electrolytic solution that it contains. We determine the mean-field time scales for planar EDLC relaxation to equilibrium, after a…

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith