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In a one-component fluid, we investigate evaporation of a small axysymmetric liquid droplet in the partial wetting condition on a heated wall at $T\sim 0.9 T_c$. In the dynamic van der Waals theory (Phys. Rev. E {\bf 75}, 036304 (2007)), we…

Soft Condensed Matter · Physics 2009-11-13 Ryohei Teshigawara , Akira Onuki

We use the non-equilibrium statistical field theory for classical particles recently developed by Mazenko and Das and Mazenko, together with the free generating functional for particles initially correlated in phase space derived in…

Statistical Mechanics · Physics 2014-12-09 Elena Kozlikin , Felix Fabis , Robert Lilow , Celia Viermann , Matthias Bartelmann

The van der Waals (vdW) theory of fluids is the first and simplest theory that takes into account interactions between the particles of a system that result in a phase transition versus temperature. Combined with Maxwell's construction,…

Soft Condensed Matter · Physics 2018-02-12 David C. Johnston

When sheets of layered material like C, WS$_2$ or BN are restricted to finite sizes, they generally form single- and multi-walled hollow nanoparticles in order to avoid dangling bonds. Using continuum approaches to model elastic deformation…

Soft Condensed Matter · Physics 2007-05-23 U. S. Schwarz , S. A. Safran , S. Komura

We consider thermodynamics of the van der Waals fluid of quantum systems. We derive general relations of thermodynamic functions and parameters of any ideal gas and the corresponding van der Waals fluid. This provides unambiguous…

Quantum Gases · Physics 2016-08-24 Krzysztof Redlich , Kacper Zalewski

Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 V. Tretyak

We apply a range of density-functional-theory-based methods capable of describing van der Waals interactions to weakly bonded layered solids in order to investigate their accuracy for extended systems. The methods under investigation are…

Materials Science · Physics 2012-10-05 T. Björkman , A. Gulans , A. V. Krasheninnikov , R. M. Nieminen

In this work the induced van der Waals interaction between a pair of neutral atoms or molecules is considered by use of a statistical mechanical method. Commonly this interaction is obtained by standard quantum mechanical perturbation…

Quantum Physics · Physics 2015-05-20 Johan S. Høye

The generalized van der Waals equation of state for anisotropic liquids in porous media consists of two terms.One of them is based on the equation of state for hard spherocylinders in random porous media obtained from the scaled particle…

Soft Condensed Matter · Physics 2015-09-02 Myroslav Holovko , Volodymyr Shmotolokha

A new scheme for the computation of dispersive interactions from first principles is presented. This cost-effective approach relies on a Wannier function representation compatible with density function theory descriptions. This is an…

Materials Science · Physics 2025-02-04 Diem Thi-Xuan Dang , Dai-Nam Le , Lilia M. Woods

In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stationary filtration equation are obtained by means of finite…

Mathematical Physics · Physics 2020-01-31 Valentin Lychagin , Mikhail Roop

The current attempt is aimed to honor the first centennial of Johannes Diderik van der Waals (VDW) awarding Nobel Prize in Physics. The VDW theory of ordinary fluids is reviewed in the first part of the paper, where special effort is…

Classical Physics · Physics 2019-11-05 R. Caimmi

This paper is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation of state and a modified Allen-Cahn equation. The global…

Analysis of PDEs · Mathematics 2018-10-02 Qiaolin He , Ming Mei , Xiaoding Shi , Xiaoping Wang

We study the ground state pair-correlation properties of a weakly interacting trapped Bose gas in three dimension by using a correlated many-body method. Use of the van der Waals interaction potential and an external trapping potential…

Quantum Gases · Physics 2015-03-13 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das

We study the behavior of systems in which the interaction contains a long-range component that does not dominate the critical behavior. Such a component is exemplified by the van der Waals force between molecules in a simple liquid-vapor…

Statistical Mechanics · Physics 2009-10-31 Daniel Dantchev , Joseph Rudnick

We consider a one-dimensional gas of hard point particles in a finite box that are in thermal equilibrium and evolving under Hamiltonian dynamics. Tagged particle correlation functions of the middle particle are studied. For the special…

Statistical Mechanics · Physics 2015-06-11 Anjan Roy , Onuttom Narayan , Abhishek Dhar , Sanjib Sabhapandit

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

A scheme within density functional theory is proposed that provides a practical way to generalize to unrestricted geometries the method applied with some success to layered geometries [H. Rydberg, et al., Phys. Rev. Lett. 91, 126402…

Materials Science · Physics 2009-11-10 M. Dion , H. Rydberg , E. Schroder , D. C. Langreth , B. I. Lundqvist

A schematic model is presented that allows one to study the behavior of interacting pseudo-Fermi matter locked in a thermostatic box. As a function of the box volume and temperature, the matter is seen to show all of the familiar…

Nuclear Theory · Physics 2016-09-08 Jan Tõke , Jun Lu , W. Udo Schröder

This paper presents a model of van der Waals forces in the framework of diffusion-convection equations. The model consists of a nonlinear and degenerated diffusion-convection equation, which furthermore can be considered as a model for slow…

Numerical Analysis · Mathematics 2016-08-31 Matthias Herz , Peter Knabner