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We propose a new equation of state for the Dark Energy component of the Universe. It is modeled on the equation of state $p=w(\rho-\rho_{*})$ which can describe a liquid, for example water. We show that its energy density naturally…

Astrophysics · Physics 2007-05-23 Richard Holman , Siddartha Naidu

The local thermodynamics of a system with long-range interactions in d dimensions is studied using the mean-field approximation. Long-range interactions are introduced through pair interaction potentials that decay as a power law in the…

Statistical Mechanics · Physics 2013-11-13 Ivan Latella , Agustín Pérez-Madrid

The van der Waals (VDW) equation of state describes a thermal equilibrium in system of particles, where both repulsive and attractive interactions between them are included. This equation predicts an existence of the 1st order liquid-gas…

Nuclear Theory · Physics 2016-08-25 V. Vovchenko , D. V. Anchishkin , M. I. Gorenstein

The Sutherland approximation to the van der Waals forces is applied to the derivation of a self-consistent Vlasov-type field in a liquid filling a half space, bordering vacuum. The ensuing Vlasov equation is then derived, and solved to…

Soft Condensed Matter · Physics 2015-09-02 V. Molinari , B. D. Ganapol , D. Mostacci

The van der Waals-London's law, for a collection of atoms at large separation, states that their interaction energy is pairwise attractive and decays proportionally to one over their distance to the sixth. The first rigorous result in this…

Mathematical Physics · Physics 2014-10-23 Ioannis Anapolitanos

We consider potential-based interactions between beams (or fibers) and shells (or membranes) using a coarse-grained approach with focus on van der Waals attraction and steric repulsion. The involved 6D integral over volumes of a beam and a…

Numerical Analysis · Mathematics 2026-03-02 Aleksandar Borković , Michael H. Gfrerer , Roger A. Sauer

The grand canonical ensemble formulation of the van der Waals equation of state that includes the effects of Bose statistics is applied to an equilibrium system of interacting pions. If the attractive interaction between pions is large…

Nuclear Theory · Physics 2016-08-25 R. V. Poberezhnyuk , V. Vovchenko , D. V. Anchishkin , M. I. Gorenstein

A van der Waals (vdW) density functional was implemented in the mixed basis approach previously developed for studying two dimensional systems, in which the vdW interaction plays an important role. The basis functions here are taken to be…

Computational Physics · Physics 2017-12-27 Chung-Yuan Ren , Yia-Chung Chang , Chen-Shiung Hsue

It is shown that the van der Waals free-energy of polydisperse fluids, as introduced previously (L. Bellier-Castella, H. Xu and M. Baus, {J. Chem. Phys.} {113}, 8337 (2000)), predicts that for certain thermodynamic states (e.g. low…

Statistical Mechanics · Physics 2009-11-07 L. Bellier-Castella , M. Baus , H. Xu

In order to understand the long-standing problem of the nature of glass states, we performed intensive simulations on the thermodynamic properties and potential energy surface of an ideal glass. We found that the atoms of an ideal glass…

Disordered Systems and Neural Networks · Physics 2020-11-06 D. Y. Sun , C. Shang , Z. P. Liu , X. G. Gong

There is a growing belief that the mode coupling theory is the proper microscopic theory for the dynamics of the undercooled liquid above a critical temperature T_c. In addition, there is some evidence that the system leaves the…

Disordered Systems and Neural Networks · Physics 2009-11-07 U. Buchenau

This work presents a pedagogical derivation of the thermodynamics of a van der Waals fluid by explicitly incorporating pairwise molecular interactions and the finite size of particles into the statistical-mechanical description. Starting…

Statistical Mechanics · Physics 2026-01-09 J. L. Cardoso , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , A. Kunold

Conventional cluster and virial expansions are generalized to momentum dependent inter-particle potentials. The model with Lorentz contracted hard core potentials is considered, e.g. as hadron gas model. A Van der Waals-type model with a…

Nuclear Theory · Physics 2012-08-27 K. A. Bugaev , M. I. Gorenstein , H. Stöcker , and W. Greiner

A GW calculation based on a truncated Coulomb interaction with an added small q limit was applied to 2D van der Waals heterolayered structures, and the Kane dispersion model was used to determine the accurate band gap edge. All ab initio…

Materials Science · Physics 2025-06-25 Eyasu Tadesse Muda , Tewodros Eyob Ada , Kenate Nemera Nigussa , Cecil N. M. Ouma

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 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

We present a numerical study of the statistical properties of the potential energy landscape of a simple model for strong network-forming liquids. The model is a system of spherical particles interacting through a square well potential,…

Soft Condensed Matter · Physics 2007-05-23 A. J. Moreno , I. Saika-Voivod , E. Zaccarelli , E. La Nave , S. V. Buldyrev , P. Tartaglia , F. Sciortino

The supercooled dynamics of a Lennard-Jones model liquid is numerically investigated studying relevant points of the potential energy surface, i.e. the minima of the square gradient of total potential energy $V$. The main findings are:…

Soft Condensed Matter · Physics 2009-11-07 L. Angelani , R. Di Leonardo , G. Ruocco , A. Scala , F. Sciortino

We formulate an approximate thermodynamic theory of the phase transition in driven lattice gases with attractive nearest-neighbor interactions. We construct the van der Waals equation of state for a driven system where a nonequilibrium…

Statistical Mechanics · Physics 2011-11-30 Punyabrata Pradhan , Udo Seifert

In standard thermodynamics, internal energy is a state function, independent of process rates. We show that this structure breaks down in open quantum systems undergoing thermalization. Within Gorini-Kossakowski-Lindblad-Sudarshan (GKLS)…

Statistical Mechanics · Physics 2026-05-12 Hyeong-Chan Kim , Youngone Lee
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