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We consider the global bifurcation problem for spatially periodic traveling waves for two-dimensional gravity-capillary vortex sheets. The two fluids have arbitrary constant, non-negative densities (not both zero), the gravity parameter can…

Analysis of PDEs · Mathematics 2014-12-30 David M. Ambrose , Walter A. Strauss , J. Douglas Wright

We consider a family of thermodynamic models such that the energy density can be expressed as an asymptotic expansion in the scale formal parameter and whose terms are suitable functions of the volume density. We examine the possibility to…

Statistical Mechanics · Physics 2021-09-22 Francesco Giglio , Giulio Landolfi , Luigi Martina , Antonio Moro

We study the free decay of capillary turbulence on the charged surface of liquid hydrogen. We find that decay begins from the high frequency end of the spectral range, while most of the energy remains localized at low frequencies. The…

We account for the presence of surface charges towards describing variations in the dynamic contact angle of an advancing liquid-gas meniscus. Starting from the thin-film based formalism, we present closed-form analytical expressions…

Fluid Dynamics · Physics 2015-09-11 Palash V. Acharya , Kaustav Chaudhury , Suman Chakraborty

By means of extensive equilibrium molecular dynamics simulations we have investigated, the behavior of the interfacial tension $\gamma$ of two immiscible symmetrical Lennard-Jones fluids. This quantity is studied as function of reduced…

Statistical Mechanics · Physics 2016-08-15 Enrique Diaz-Herrera , José Alejandre , Guillermo Ramírez-Santiago , F. Forstmann

Motivated by a long-standing debate concerning the nature and interrelations of surface-tension variables in fluid membranes, we reformulate the thermodynamics of a membrane vesicle as a generic two-dimensional finite system enclosing a…

Soft Condensed Matter · Physics 2012-02-03 Haim Diamant

We explore the properties of the equilibrium space of van der Waals thermodynamic systems. We use an invariant representation of the fundamental equation by using the law of corresponding states, which allows us to perform a general…

Statistical Mechanics · Physics 2022-04-06 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

New theoretical formulae of the sound velocity and the B/A nonlinearity parameter for some fluids are presented in the paper. Semi--ideal and van der Waals models of gas are considered and the parameters are compared to experiment data. The…

Fluid Dynamics · Physics 2007-05-23 Sergey Leble , Anna Perelomova , Magdalena Kusmirek-Ochrymiuk

We derive general analytical expressions for the time-averaged acoustic radiation force on a small spherical particle suspended in a fluid and located in an axisymmetric incident acoustic wave. We treat the cases of the particle being…

Fluid Dynamics · Physics 2025-10-30 Bjørn G. Winckelmann , Henrik Bruus

We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension, where the upper fluid is bounded above by a rigid lid and the lower fluid is bounded below by a flat bottom. We…

Analysis of PDEs · Mathematics 2019-07-24 Dag Nilsson

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

Thermodynamics and dynamics of a classical two-dimensional system with dipole-like isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical…

Soft Condensed Matter · Physics 2018-03-02 Sergey Khrapak , Nikita Kryuchkov , Stanislav Yurchenko

Optical thermodynamics offers a distinctive framework for understanding complex phenomena in multimode systems, yet standard ideal-gas-like formulation neglects the effect of nonlinear interaction on thermodynamic quantities, significantly…

Optics · Physics 2026-04-10 Meng Lian , Zhongfei Xiong , Yuntian Chen , Jing-Tao Lü

We study the short-time dynamics of a liquid ligament, held between two solid cylinders, when one is impulsively accelerated along its axis. A set of one-dimensional equations in the slender-slope approximation is used to describe the…

Fluid Dynamics · Physics 2015-06-11 Laurent Duchemin , Stéphane Le Dizès , Lionel Vincent , Emmanuel Villermaux

In this work, the molar volume thermal expansion coefficient of 60 room temperature ionic liquids is compared with their van der Waals volume Vw. Regular correlation can be discerned between the two quantities. An average free volume model,…

Chemical Physics · Physics 2014-09-19 Yang Yu

The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well as saturation states. Starting from the Gibbs formalism, we…

Analysis of PDEs · Mathematics 2019-11-01 Hala Ghazi , Francois James , Hélène Mathis

Thermo-elasticity couples the deformation of an elastic (solid) body to its temperature and vice-versa. It is a solid-like property. Highlighting such property in liquids is a paradigm shift: it requires long-range collective interactions…

Soft Condensed Matter · Physics 2020-10-07 Eni Kume , Patrick Baroni , Laurence Noirez

The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena.…

Materials Science · Physics 2009-10-31 R. Hilfer

In this paper we have studied Van-Der-Waals fluid system with the generalized EOS as as discussed in the recent works of Kremer, G.M [1, 4], Vardiashvili, G [2], Jantsch, R.C [3], Capozziello, S [5]. and are functions of energy density and…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Alokananda Kar , Shouvik Sadhukhan , Surajit Chattopadhyay

The problem of the gas-liquid heterophase fluctuations of a fluid within the critical and supercritical regions is revisited. To describe the thermodynamics and structure of the heterophase fluid, the mesoscopic equation of state is…

Statistical Mechanics · Physics 2015-08-21 A. S. Bakai
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