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Strong correlations between equilibrium fluctuations of the configurational parts of pressure and energy are found in the Lennard-Jones liquid and other simple liquids, but not in hydrogen-bonding liquids like methanol and water. The…

Statistical Mechanics · Physics 2009-11-13 Ulf R. Pedersen , Nicholas Bailey , Thomas B. Schrøder , Jeppe C. Dyre

In this paper, we consider a layer of viscous incompressible isotropic micropolar fluid in a uniform gravitational field of finite depth, lying above a flat rigid bottom and below the atmosphere in a three-dimensional horizontally periodic…

Analysis of PDEs · Mathematics 2024-08-29 Yuchong Wei , Zheng-an Yao

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

We present numerical calculations of a four-point dynamic susceptibility, chi_4(t), for the Kob-Andersen Lennard-Jones mixture as a function of temperature T and density rho. Over a relevant range of T and rho, the full t-dependence of…

Statistical Mechanics · Physics 2009-10-20 D. Coslovich , C. M. Roland

We consider the sloshing problem for an incompressible, inviscid, irrotational fluid in an open container, including effects due to surface tension on the free surface. We restrict ourselves to a constant contact angle and seek…

Analysis of PDEs · Mathematics 2017-06-21 Chee Han Tan , Christel Hohenegger , Braxton Osting

The surface tension coefficient is a key parameter in fluid mechanics. The conventional method to measure it is to determine the critical surface tension that causes the rupture of a liquid film. However, this method has a large error…

Fluid Dynamics · Physics 2025-01-10 Ziyi Xu , Chongyuan Xu , Liwen Tong , Keyu Chen , Ziwei Dong

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 thermodynamics and mechanics of the surface of a deformable body are studied here, following and refining the general approach of Gibbs. It is first shown that the 'local' thermodynamic variables of the state of the surface are only the…

Statistical Mechanics · Physics 2019-06-27 Juan Olives

A liquid is termed strongly correlating if its virial and potential energy thermal equilibrium fluctuations in the NVT ensemble are more than 90% correlated [Phys. Rev. Lett. 100, 015701 (2008)]. The fluctuations of a strongly correlating…

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

A theory is presented which allows us to accurately calculate the surface tensions and the surface potentials of electrolyte solutions. Both the ionic hydration and the polarizability are taken into account. We find a good correlation…

Soft Condensed Matter · Physics 2011-06-07 Alexandre P. dos Santos , Alexandre Diehl , Yan Levin

We study hydrodynamic fluctuations in a compressible and viscous fluid film confined between two rigid, no-slip, parallel plates, where one of the plates is kept fixed, while the other one is driven in small-amplitude, translational,…

Soft Condensed Matter · Physics 2018-07-03 Masoud Mohammadi-Arzanagh , Saeed Mahdisoltani , Rudolf Podgornik , Ali Naji

The aim of this paper is to calculate the time dependence of the mean position (and orientation) of a fluid particle when a fluid system at thermodynamic equilibrium is submitted to a mechanical action. The starting point of this novel…

Soft Condensed Matter · Physics 2022-04-25 Frederic Aitken , Ferdinand Volino

The seemingly simple problem of determining the drag on a body moving through a very viscous fluid has, for over 150 years, been a source of theoretical confusion, mathematical paradoxes, and experimental artifacts, primarily arising from…

Fluid Dynamics · Physics 2009-11-13 John Veysey , Nigel Goldenfeld

When a fluid surface adheres to a substrate, the location of the contact line adjusts in order to minimize the overall energy. This adhesion balance implies boundary conditions which depend on the characteristic surface deformation…

Soft Condensed Matter · Physics 2011-11-09 Markus Deserno , Martin M. Mueller , Jemal Guven

We perform more than 6000 steady-state simulations with a dynamic pore network model, corresponding to a large span in viscosity ratios and capillary numbers. From these simulations, dimensionless quantities such as relative permeabilities,…

Fluid Dynamics · Physics 2019-11-19 Magnus Aa. Gjennestad , Mathias Winkler , Alex Hansen

The impact dynamics of viscoelastic droplets on solid surfaces play a critical role in numerous applications, including inkjet printing, spray coating, and microfluidics, where precise control of spreading, retraction, and rebound is…

Fluid Dynamics · Physics 2026-04-10 Mahmood Mousavi , Parisa Tayerani , Sebastian Stephens , Cadence Ruskowski , Bok Jik Lee

We present a direct comparison of the number of dynamically correlated molecules in the shear-mechanical and dielectric relaxations of the following seven supercooled organic liquids: triphenylethylene, tetramethyl-tetraphenyl-trisiloxane,…

Soft Condensed Matter · Physics 2010-03-02 Claudio Maggi , Bo Jakobsen , Jeppe C. Dyre

We study the role of viscosity in the early stages of relativistic heavy ion collisions. We investigate the role of viscosity on the chemical equilibration of a parton gas. In the presence of viscosity the lifetime of the system is…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

String theoretical arguments led to the hypothesis that the ratio of viscosity to entropy of any physical system has a lower bound. Strongly coupled systems usually have a small viscosity compared to weakly coupled plasmas in which the…

Plasma Physics · Physics 2009-08-03 Markus H. Thoma , Gregor E. Morfill

A relation between shear and dielectric spectra is derived for highly viscous liquids with a small rotational contribution $\Delta\epsilon$ to the dielectric constant. It is valid if the shear fluctuations and the electric dipole…

Disordered Systems and Neural Networks · Physics 2010-06-09 U. Buchenau