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We propose a generalisation of molecular density functional theory to describe inhomogeneous solvent mixture, with the objective of modelling electrolytic solutions. Two electrolytic models are presented, both within the HNC approximation.…

Chemical Physics · Physics 2025-11-13 Guillaume Jeanmairet , Luc Belloni , Daniel Borgis

Since no fusion theory neither rule fully satisfy all needed applications, the author proposes a Unification of Fusion Theories and a combination of fusion rules in solving problems/applications. For each particular application, one selects…

Artificial Intelligence · Computer Science 2007-05-23 Florentin Smarandache

Local polarization effects, induced by mono and divalent positive ions in water, influence (and in turn are influenced by) the large scale structural properties of the solvent. Experiments can only distinguish this process of interplay in a…

Soft Condensed Matter · Physics 2007-07-04 Christian Krekeler , Luigi Delle Site

The classical "game of life" (GOL) due to Conway is a famous mathematical game constructed as a two-dimensional cellular automaton in which each cell is either alive or dead. A set of evolutionary rules determines whether a cell dies,…

Quantum Physics · Physics 2019-02-22 David Faux , Mayank Shah , Christopher Knapp

It is undeniable that life as we know it depends on liquid water. It is difficult to imagine any biochemical machinery that does not require water. On Earth, life adapts to the most diverse environments and, once established, it is very…

Earth and Planetary Astrophysics · Physics 2018-03-08 Karla de Souza Torres , Othon Cabo Winter

The aim of this essay is to analyze the role of quantum mechanics as an inherent characteristic of life. During the last ten years the problem of the origin of life has become an innovative research subject approached by many authors. The…

Other Quantitative Biology · Quantitative Biology 2017-09-19 Juan Campos Quemada

In traditional hydrodynamic theories for ionic fluids, conservation of the mass and linear momentum is not properly taken care of. In this paper, we develop hydrodynamic theories for a viscous, ionic fluid of $N$ ionic species enforcing…

Fluid Dynamics · Physics 2018-11-08 Xiaogang Yang , Yuezheng Gong , Jun Li , Robert S. Eisenberg , Qi Wang

This work presents a comparative study of the best models available to describe granular fluids in order to investigate the extent to which it makes sense to speak about a liquid-gas transition in a system of particles that present no…

Soft Condensed Matter · Physics 2024-09-02 O. Coquand

We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids. We prove well-posedness of the equations in appropriate functional spaces and…

Analysis of PDEs · Mathematics 2012-03-06 David Benoit , Lingbing He , Claude Le Bris , Tony Lelièvre

Molecular dynamics simulations for aqueous sodium chloride solutions were carried out at various concentrations. Supplementary to the Debye-H\"uckel theory, reversible transient nucleation of ions was observed even in dilute solutions. The…

Soft Condensed Matter · Physics 2014-11-26 Gan Ren , Yanting Wang

In aqueous solutions, dissolved ions interact strongly with the surrounding water, thereby modifying the solution properties in an ion-specific manner. These ion-hydration interactions can be accounted for theoretically on a mean-field…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Rudi Podgornik , Daniel Harries

Dynamics of ideal fluid with free surface can be effectively solved by perturbing the Hamiltonian in weak nonlinearity limit. However it is shown that perturbation theory, which includes third and fourth order terms in the Hamiltonian,…

Pattern Formation and Solitons · Physics 2009-11-10 Pavel M. Lushnikov , Vladimir E. Zakharov

Inhomogeneity of ion correlation widely exists in many physicochemical, soft matter, and biological systems. Here, we apply the modified Gaussian renormalized fluctuation theory to study the classic example of the vapor-liquid interface of…

Soft Condensed Matter · Physics 2022-11-22 Nikhil R. Agrawal , Rui Wang

We calculate the ion and composition distributions around colloid particles in an aqueous mixture, accounting for preferential adsorption, electrostatic interaction, selective solvation among ions and polar molecules, and…

Soft Condensed Matter · Physics 2011-11-04 Ryuichi Okamoto , Akira Onuki

We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Sheng. A new concept of dissipative solution is proposed, for…

Analysis of PDEs · Mathematics 2016-10-26 E. Feireisl , E. Rocca , G. Schimperna , A. Zarnescu

Solutions to hydrodynamic equations, which are used for a vast variety of physical problems, are assumed to be specified by boundary conditions and initial conditions on the hydrodynamic variables only. Initial values of other variables are…

Statistical Mechanics · Physics 2021-10-05 T. R. Kirkpatrick , D. Belitz , J. R. Dorfman

It is shown how traditional development of theories of fluids based upon the concept of physical clustering can be adapted to an alternative local clustering definition. The alternative definition can preserve a detailed valence description…

Chemical Physics · Physics 2015-06-26 Lawrence R. Pratt , Randall A. LaViolette

Three very different algorithms have been proposed for solution of the Rayleigh-Taylor turbulent mixing problem. They are based upon three different physical principles governing the Euler equations for fluid flow, which serve to complete…

Fluid Dynamics · Physics 2019-01-23 James Glimm , Baolian Cheng , David H. Sharp , Tulin Kaman

A model of two-component relativistic fluid is considered, and the thermal nature of coupling between the fluid constituents is outlined. This thermal coupling is responsible for non-ideality of the fluid composite where the components are…

Nuclear Theory · Physics 2011-08-16 Ernst Trojan , George V. Vlasov

The claim that life is an emergent phenomenon exhibiting novel properties and principles is often criticized for being in conflict with causal closure at the microscopic level. I argue that advances in cosmological theory suggesting an…

Astrophysics · Physics 2007-05-23 P. C. W. Davies
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