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Related papers: Henry's law, surface tension, and surface adsorpti…

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The three-phase contact line of a droplet on a smooth surface can be characterized by the Young-Dupr\'e equation. It relates the interfacial energies with the macroscopic contact angle $\theta_e$. On the mesoscale, wettability is modeled by…

Fluid Dynamics · Physics 2018-07-24 Uwe Thiele , Jacco H. Snoeijer , Sarah Trinschek , Karin John

We study adsorption of liquid at a one-dimensional substrate composed of a single chemical inhomogeneity of width $2L$ placed on an otherwise homogeneous, planar, solid surface. The excess point free energy $\eta (L,T)$ associated with the…

Statistical Mechanics · Physics 2009-11-11 P. Jakubczyk , M. Napiorkowski , A. O. Parry

We examine the performance of several molecular simulation techniques aimed at evaluation of the surface tension through its thermodynamic definition. For all methods explored, the surface tension is calculated by approximating the change…

Statistical Mechanics · Physics 2009-11-13 Jeffrey R. Errington , David A. Kofke

The planar surface tension of coexisting liquid and vapor phases of a fluid of Lennard-Jones atoms is studied as a function of the range of the potential using both Monte Carlo simulations and Density Functional Theory. The interaction…

Statistical Mechanics · Physics 2009-11-13 Patrick Grosfils , James F. Lutsko

The thermodynamics of an electrically charged, multicomponent fluid with spontaneous electric dipoles and magnetic moments is analysed in the presence of electromagnetic fields. Taking into account the chemical composition of the current…

Statistical Mechanics · Physics 2015-06-15 Sylvain D. Brechet , Jean-Philippe Ansermet

We investigate phase separation of near-critical binary mixtures between parallel symmetric walls in the strong adsorption regime. We take into account the renormalization effect due to the critical fluctuations using the recent local…

Soft Condensed Matter · Physics 2013-08-21 Shunsuke Yabunaka , Ryuichi Okamoto , Akira Onuki

We consider the demixing of a binary fluid mixture, under gravity, which is steadily driven into a two phase region by slowly ramping the temperature. We assume, as a first approximation, that the system remains spatially isothermal, and…

Soft Condensed Matter · Physics 2009-11-10 M. E. Cates , J. Vollmer , A. Wagner , D. Vollmer

I study the effect of length polydispersity in the surface phase diagram of hard rods interacting with a hard wall. The properly extended interface Gibbs-Duhem equation for a polydisperse system allows us to predict the behaviour of the…

Soft Condensed Matter · Physics 2007-05-23 Y. Martinez-Raton

The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the mass densities. The equations are obtained in a thermodynamic consistent way from mass balance, Darcy's law, and the van der…

Analysis of PDEs · Mathematics 2016-12-14 Ansgar Jüngel , Jiří Mikyška , Nicola Zamponi

Our understanding of both structure and dynamics of adsorbed liquids heavily relies on the capillary wave Hamiltonian, but a thorough test of this model is still lacking. Here we study the capillary wave fluctuations of a liquid film with…

Soft Condensed Matter · Physics 2013-09-06 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho

We estimate the liquid-vapour surface tension from simulations of TIP4P/2005 water nanodroplets of size $N$=100 to 2880 molecules over a temperature $T$ range of 180 K to 300 K. We compute the planar surface tension $\gamma_p$, the…

Soft Condensed Matter · Physics 2019-07-24 Shahrazad M. A. Malek , Peter H. Poole , Ivan Saika-Voivod

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the temperature-dependent influence parameter instead of the van der…

Numerical Analysis · Mathematics 2018-08-01 Jisheng Kou , Shuyu Sun

The dynamics of Lennard-Jones fluid is studied through extended mode coupling theory (MCT) with the inclusion of the slow mode of defect density. Inclusion of defect density facilitates the liquid like state for temperatures much lower than…

Statistical Mechanics · Physics 2009-11-07 Sudha Srivastava , Shankar P. Das

In anisotropic or layered superconductors thermal fluctuations as well as impurities induce a van der Waals (vdW) attraction between flux lines, as has recently been shown by Blatter and Geshkenbein in the thermal case [Phys. Rev. Lett. 77,…

Superconductivity · Physics 2009-10-31 Andreas Volmer , Sutapa Mukherji , Thomas Nattermann

One considers the motion of a test particle in an homogeneous fluid in equilibrium at temperature $T$, undergoing dissipative collisions with the fluid particles. It is shown that the corresponding linear Boltzmann equation still posseses a…

Statistical Mechanics · Physics 2007-05-23 Ph. A. Martin , J. Piasecki

The mathematical model of surfactant adsorption under mixed barrier-diffusion control is analyzed using techniques from fractional calculus. The kinetic models of Henry, Langmuir, Frumkin, Volmer and van der Waals are considered. First,…

Analysis of PDEs · Mathematics 2025-12-11 Ivan Bazhlekov , Emilia Bazhlekova

The standard treatment of relativistic thermodynamics does not allow for a systematic treatment of mixtures. It is proposed that a formulation of thermodynamics as an action principle may be a suitable approach to adopt for a new…

General Physics · Physics 2010-06-09 Christian Fronsdal

In an unsaturated granular material, the spatial distribution of the liquid phase results from the competition between gravity and capillary forces. We show that, in the funicular regime, it can be described by a Boltzmann law, with static…

Soft Condensed Matter · Physics 2025-07-28 Loredana Lazar , Cécile Clavaud , Axelle Amon

A theory is derived for the nonequilibrium probability currents of the capillary interaction which determines the pair correlation function near contact. This yields an analytic expression for the equation of state, P = P(N/V,T), of wet…

Soft Condensed Matter · Physics 2009-11-13 A. Fingerle , S. Herminghaus

We review some models of granular materials fluidized by means of external forces such as: random homogeneous forcing with damping, vibrating plates, flow in an inclined channel and flow in a double well potential. All these systems show…

Soft Condensed Matter · Physics 2009-11-10 Andrea Puglisi , Fabio Cecconi , Angelo Vulpiani