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Related papers: The pressure tensor across a liquid-vapour interfa…

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We study the local well-posedness for an interface with surface tension that separates a perfectly conducting inviscid fluid from a vacuum. The fluid flow is governed by the equations of three-dimensional ideal compressible…

Analysis of PDEs · Mathematics 2023-07-12 Yuri Trakhinin , Tao Wang

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 2015-01-30 Juhi Jang , Ian Tice , Yanjin Wang

We consider the fluctuation modes around a hypersurface $\Sigma_c$ in a $(d+2)$-dimensional product Einstein manifold, with $\Sigma_c$ taken either near the horizon or at some finite cutoff from the horizon. By mapping the equations that…

High Energy Physics - Theory · Physics 2015-01-30 Xin Hao , Bin Wu , Liu Zhao

Capillary waves occurring at the liquid-vapor interface of water are studied using molecular dynamics simulations. In addition, the surface tension, determined thermodynamically from the difference in the normal and tangential pressure at…

Materials Science · Physics 2009-11-11 Ahmed E. Ismail , Gary S. Grest , Mark J. Stevens

Interfacial roughening denotes the nonequilibrium process by which an initially flat interface reaches its equilibrium state, characterized by the presence of thermally excited capillary waves. Roughening of fluid interfaces has been first…

Statistical Mechanics · Physics 2013-02-28 Markus Gross , Fathollah Varnik

A water bridge refers to an experimental "flexible cable" made up of pure deionized water which can hang across two supports maintained with a sufficiently large voltage difference. The resulting electric fields within the deionized water…

Other Condensed Matter · Physics 2013-05-29 A. Widom. J. Swain , J. Silverberg , Y. N. Srivastava

The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad…

Chemical Physics · Physics 2018-12-24 A. Maslechko , K. Glavatskiy , V. Kulinskii

Accurate and robust models for the pressure strain correlation are an essential component for the success of Reynolds Stress Models in turbulent flow simulations. However replicating the non-local action of pressure using only local tensors…

Fluid Dynamics · Physics 2017-12-22 J. P. Panda , H. V. Warrior

We consider an adhesive contact between a thin soft layer on a rigid substrate and a rigid cylindrical indenter ("line contact") with account of the surface tension of the layer. First, it is shown that the boundary condition for the…

Soft Condensed Matter · Physics 2020-02-06 Valentin L. Popov

The surface texture of materials plays a critical role in wettability, turbulence and transport phenomena. In order to design surfaces for these applications, it is desirable to characterise non-smooth and porous materials by their ability…

Fluid Dynamics · Physics 2019-12-10 Uǧis Lācis , Y. Sudhakar , Simon Pasche , Shervin Bagheri

The evolution of the liquid-vapour interface of a Lennard-Jones fluid is examined with molecular dynamics simulations using the intrinsic sampling method. Results suggest, in agreement with capillary wave theory, clear damping of the…

Fluid Dynamics · Physics 2022-04-07 Muhammad Rizwanur Rahman , Li Shen , James P. Ewen , Daniele Dini , E. R. Smith

The stresses in a closed lipid membrane described by the Helfrich hamiltonian, quadratic in the extrinsic curvature, are identified using Noether's theorem. Three equations describe the conservation of the stress tensor: the normal…

Soft Condensed Matter · Physics 2009-11-07 Riccardo Capovilla , Jemal Guven

In a variety of applications, most notably microfluidic design, slip-based boundary conditions have been sought to characterize fluid flow over patterned surfaces. We focus on laminar shear flows over surfaces with periodic height…

Fluid Dynamics · Physics 2015-05-14 Ken Kamrin , Martin Z. Bazant , Howard A. Stone

The idea of working with a near-critical phase-separated liquid mixture whereby the surface tension becomes weak, has recently made the field of laser manipulation of liquid interfaces a much more convenient tool in practice. The…

Optics · Physics 2009-11-10 Aslak Hallanger , Iver Brevik , Skjalg Haaland , Roger Sollie

A simple result for the pressure of a hard sphere fluid that was developed many years ago by Rennert is extended in a straightforward manner by adding the terms that are of the same form as the Rennert's formula. The resulting expression is…

Soft Condensed Matter · Physics 2013-12-13 D. Henderson

We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the inhomogeneous ionic fluid as a functional of electrostatic potential for an arbitrary…

Soft Condensed Matter · Physics 2022-05-25 Yu. A. Budkov , A. L. Kolesnikov

In two previous works [arXiv:1009.4363,arXiv:1107.0668], we studied the time evolution of a system of real scalar fields with quartic coupling which shares important features with the Color Glass Condensate description of heavy ion…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kevin Dusling , Thomas Epelbaum , François Gelis , Raju Venugopalan

Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state allows one to go beyond the Van der Waals approximation for the…

Nuclear Theory · Physics 2020-12-22 Nazar S. Yakovenko , Kyrill A. Bugaev , Larissa V. Bravina , Eugene E. Zabrodin

The Probability Distribution Function of plasma density fluctuations at the edge of fusion devices is known to be skewed and strongly non-Gaussian. The causes of this peculiar behaviour are, up to now, largely unexplored. On the other hand,…

Plasma Physics · Physics 2007-05-23 F. Sattin , N. Vianello

We study the shapes of elastic membranes under the simultaneous exertion of tensile and compressive forces when the translational symmetry along the tension direction is broken. We predict a multitude of novel morphological phases in…

Soft Condensed Matter · Physics 2015-05-13 Benny Davidovitch