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A simple analytical microscopic expression for the surface tension of liquids $\gamma$ is obtained which is in a good agreement with available data of numerical experiments. We apply the integral transformation that maps the fluid…

Soft Condensed Matter · Physics 2007-05-23 N. V. Brilliantov , J. M. Rubi

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

Last years, there has been a renewed interest in the utilization of statistical field theory methods for the description of systems at equilibrium both in the vicinity and away from critical points, in particular in the field of liquid…

Statistical Mechanics · Physics 2012-07-02 Vincent Russier , Jean-Michel Caillol

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

Using the integral transformation, the field-theoretical Hamiltonian of the statistical field theory of fluids is obtained, along with the microscopic expressions for the coefficients of the Hamiltonian. Applying this approach to the…

Statistical Mechanics · Physics 2020-05-06 Nikolai V. Brilliantov , J. Miguel Rubi , Yury A. Budkov

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

A novel mechanical approach is developed to explore by means of atom-scale simulation the concept of line tension at a solid-liquid-vapor contact line as well as its dependence on temperature, confinement, and solid/fluid interactions. More…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Romain Bey , Benoit Coasne , Cyril Picard

The problem of surface effects at a fluid/force field boundary is investigated. A classical simple fluid with a locally introduced field simulating a solid is considered. For the case of a hard-core field, rigid, exponential, realistic, and…

Statistical Mechanics · Physics 2011-12-08 V. M. Zaskulnikov

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

The critical behaviour of semi-infinite $d$-dimensional systems with short-range interactions and an O(n) invariant Hamiltonian is investigated at an $m$-axial Lifshitz point with an isotropic wave-vector instability in an $m$-dimensional…

Statistical Mechanics · Physics 2008-11-26 H. W. Diehl , S. Rutkevich , A. Gerwinski

A paperclip can float on water. Drops of mercury refuse to spread on a surface. These capillary phenomena are macroscopic manifestations of molecular interactions, and can be explained in terms of surface tension. For students, the concept…

Fluid Dynamics · Physics 2012-11-19 Antonin Marchand , Joost H. Weijs , Jacco H. Snoeijer , Bruno Andreotti

The Gibbs adsorption equation is the thermodynamic cornerstone for the description and understanding of the surface tension in a surfactant solution. It relates the decrease in surface tension to an increased surfactant adsorption. In the…

Soft Condensed Matter · Physics 2025-09-25 Edgar M. Blokhuis

Conventionally, surface tension is expressed as a force per unit length or as an energy per unit area. In this paper, we propose a thought experiment that consists of replacing the surface tension with an equivalent force per unit area…

Fluid Dynamics · Physics 2025-12-01 Andre Schiltz

In this paper, using an unified approach, estimates are given of the magnitude of the surface tension of water for planar and curved interfaces in the pairwase interaction approximation based on the Lennard-Jones potential. It is shown that…

Fluid Dynamics · Physics 2019-01-15 Mikhail N. Shneider , Mikhail Pekker

The phase behavior of fluids near weakly attractive substrates is studied by computer simulations of the coexistence curve of a Lennard-Jones (LJ) fluid confined in a slitlike pore. The temperature dependence of the density profiles of the…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

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

Hydraulic jumps in thin films are traditionally explained through gravity-driven shallow-water theory, with surface tension assumed to play only a secondary role via Laplace pressure. Recent experiments, however, suggest that surface…

Fluid Dynamics · Physics 2025-12-17 Rajesh Kumar Bhagat

The problem of surface effects at a fluid boundary created by the force field of finite value is investigated. A classical simple fluid with a locally introduced field imitating a permeable solid is considered. The cases of micro- and…

Statistical Mechanics · Physics 2011-12-09 V. M. Zaskulnikov

We study the surface tension of ionic solutions at air/water and oil/water interfaces. By using field-theoretical methods and including a finite proximal surface-region with ionic-specific interactions. The free energy is expanded to…

Soft Condensed Matter · Physics 2015-03-31 Tomer Markovich , David Andelman , Rudolf Podgornik

One of the long standing challenges in molecular simulation is the description of interfaces. On the molecular length scale, finite size effects significantly influence the properties of the interface such as its interfacial tension, which…

Soft Condensed Matter · Physics 2015-06-12 Stephan Werth , Sergey Lishchuk , Martin Horsch , Hans Hasse
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