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A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

The recent empirical correlation for the surface tension is further investigated for universality. C5-C8 liquid hydrocarbons, for which accurate surface tension data over the complete liquid range are available, are used. Functional reduced…

Statistical Mechanics · Physics 2007-05-23 M. H. Ghatee , A. Maleki , H. Ghaed-Sharaf

We study the perturbation modes of rotating superfluid ellipsoidal figures of equilibrium in the framework of the two-fluid superfluid hydrodynamics and Newtonian gravity. Our calculations focus on linear perturbations of background…

Astrophysics · Physics 2009-10-31 A. Sedrakian , I. Wasserman

This paper is the fourth in a series devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids where virial and potential energy correlate better than 90% in their thermal equilibrium fluctuations…

Soft Condensed Matter · Physics 2013-01-29 Nicoletta Gnan , Thomas B. Schrøder , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

Within a Boltzmann transport model, we demonstrate correlation between stopping observables and shear viscosity in central nuclear collisions at intermediate energies (on the order of 10 to 1000 MeV/nucleon). The correlation allows us to…

Nuclear Theory · Physics 2019-03-27 Brent Barker , Pawel Danielewicz

This work investigates the link between residual entropy and viscosity based on wide-ranging, highly accurate experimental and simulation data. This link was originally postulated by Rosenfeld in 1977, and it is shown that this scaling…

Chemical Physics · Physics 2022-06-08 Ian H. Bell

The purpose of this paper is to derive rigorously the so called viscous shallow water equations given for instance page 958-959 in [A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phys, 69 (1997), 931?980]. Such a system of equations is…

Analysis of PDEs · Mathematics 2016-11-27 Didier Bresch , Pascal Noble

We present arguments for the hypothesis that under some conditions, triple correlations of density fluctuations in fluids can be detected experimentally by the method of molecular spectroscopy. These correlations manifest themselves in the…

Soft Condensed Matter · Physics 2013-03-22 M. Ya. Sushko

We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations…

Optimization and Control · Mathematics 2023-08-01 Sebastien Court

The complete quantitative description of the structure of dense and supercooled liquids remains a notoriously difficult problem in statistical physics. Most studies to date focus solely on two-body structural correlations, and only a…

Statistical Mechanics · Physics 2023-05-17 Ilian Pihlajamaa , Corentin C. L. Laudicina , Chengjie Luo , Liesbeth M. C. Janssen

The correlations of the fluctuating stress tensor are calculated in an equilibrium molecular-dynamics simulation of a Lennard--Jones liquid. We define a coarse-grained local stress tensor which can be calculated numerically and which allows…

Soft Condensed Matter · Physics 2012-01-19 Michael Schindler

Molecular dynamics simulations are used to examine the relationship between water-like anomalies and the liquid-liquid critical point in a family of model fluids with multi-Gaussian, core-softened pair interactions. The core-softened pair…

Soft Condensed Matter · Physics 2015-05-27 Evy Salcedo , Alan B. de Oliveira , Ney M. Barraz , Charusita Chakravarty , Marcia C. Barbosa

In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for large gradients of fluid height. This result is a…

The contact between a liquid and an elastic solid generates a stress vector depending on the curvature tensor in each point of the separating surface. For nanometer values of the mean curvature and for suitable materials, the stress vector…

Soft Condensed Matter · Physics 2009-05-05 Henri Gouin

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

We determine the surface tension of aqueous electrolyte solutions in contact with non-polar dielectric media using a thermomechanical approach, which involves deriving the stress tensor from the thermodynamic potential of an inhomogeneous…

Soft Condensed Matter · Physics 2024-04-18 Yury A. Budkov , Nikolai N. Kalikin , Petr E. Brandyshev

The relation between liquid-liquid phase transitions and waterlike density anomalies in core-softened potentials of fluids was investigated in an exactly solvable one dimensional lattice model and a in a three dimensional fluid with…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Evy Salcedo , Marcia Barbosa

Regularizing effects of surface tension are studied for interfacial waves between a two-dimensional, infinitely-deep and irrotational flow of water and vacuum. The water wave problem under the influence of surface tension is formulated as a…

Analysis of PDEs · Mathematics 2012-10-02 Vera Mikyoung Hur

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino