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Related papers: Ionic criticality : an exactly soluble model

200 papers

This work is concerned with the finiteness problem for static, spherically symmetric perfect fluids in both Newtonian Gravity and General Relativity. We derive criteria on the barotropic equation of state guaranteeing that the corresponding…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Mark Heinzle

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

Critical point of liquid-gas (LG) transition does not conform with the paradigm of spontaneous symmetry breaking because there is no broken symmetry in both phases. This stimulated the ongoing debate about the nature of the universality…

Statistical Mechanics · Physics 2018-06-22 Max Yarmolinsky , Anatoly Kuklov

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

Einstein's field equations in general relativity admit a variety of solutions with spacetime singularities. Numerical relativity has recently revealed the properties of somewhat generic spacetime singularities. It has been found that in a…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Tomohiro Harada

The symmetry of Ising model questions any single crossover scenario for supercritical fluids. In this work, we firstly study a pair of thermodynamic crossovers $L^\pm$ analytically for the Van der Waals class fluids. We uncover an emergent…

Statistical Mechanics · Physics 2025-09-23 Hong-Ming Cui , Zhong-Ying Fan

The dynamic and static critical behavior of five binary Lennard-Jones liquid mixtures, close to their continuous demixing points (belonging to the so-called model H' dynamic universality class), are studied computationally by combining…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , S. Dietrich , Felix Höfling

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

We present (asymptotically) exact expressions for the mobility and electrophoretic mobility of a weakly charged spherical particle in an $1:1$ electrolyte solution. This is done by analytically solving the electro and hydrodynamic equations…

Soft Condensed Matter · Physics 2014-01-22 Ludvig Lizana , Alexander Y. Grosberg

We study the spherical collapse of an over-density of a barotropic fluid with linear equation of state in a cosmological background. Fully relativistic simulations are performed by using the Baumgarte-Shibata-Shapiro-Nakamura formalism…

General Relativity and Quantum Cosmology · Physics 2021-04-15 François Staelens , Jérémy Rekier , André Füzfa

Recently we have proposed (J. Chem. Phys. 128 (2008) 134508) a new rescaling of fluid density $\rho $ by its critical value $\rho_c^{2/3}$ to apply the corresponding states law for the attractive Yukawa fluids study. Analysis of precise…

Statistical Mechanics · Physics 2008-07-30 Yurko Duda , Pedro Orea

Using the approach formulated in the previous papers of the author, a consistent procedure is developed for calculating non-classical asymptotic power terms in the total and the direct correlation functions of a critical fluid. Analyzing…

Statistical Mechanics · Physics 2019-09-27 V. N. Bondarev

We consider the limit of vanishing Debye length for ionic diffusion in fluids, described by the Nernst-Planck-Navier-Stokes system. In the asymptotically stable cases of blocking (vanishing normal flux) and uniform selective (special…

Analysis of PDEs · Mathematics 2021-09-01 Peter Constantin , Mihaela Ignatova , Fizay-Noah Lee

An extended Designed regression analysis of experimental data on density and refractive indices of several classes of ionic liquids yielded statistically averaged atomic volumes and polarizabilities of the constituting atoms. These values…

We address several concerns related to the derivation of drift-ordered fluid equations. Starting from a fully Galilean invariant fluid system, we show how consistent sets of perturbative drift-fluid equations in the case of a isothermal…

Plasma Physics · Physics 2019-03-27 Jakob Gath , Matthias Wiesenberger

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region,…

General Relativity and Quantum Cosmology · Physics 2007-11-30 N. Ozdemir

A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight…

solv-int · Physics 2015-06-26 M. Baake , U. Grimm , R. J. Baxter

Critical collapse is a well-studied subject for a variety of self-gravitating matter. One of the most intensively examined models is that of perfect fluids, which have been used extensively to describe compact objects such as stars, as well…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Jorge V. Rocha , Diogo L. F. G. Silva

Previous experiments and numerical simulations have revealed that a limited number of two- and three-dimensional particle systems contract in volume upon heating isobarically. This anomalous phenomenon is known as negative thermal expansion…

Soft Condensed Matter · Physics 2025-07-21 Igor Travěnec , Ladislav Šamaj

The replica Ornstein-Zernike equations for an electrolyte adsorbed in a charged, disordered matrix were applied to a model, where both subsystems consisted of points carrying a single (positive or negative) charge. While the system as a…

Soft Condensed Matter · Physics 2021-10-12 T. Mlakar , B. Hribar-Lee