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Depth, number, and shape of the basins of the potential energy landscape are the key ingredients of the inherent structure thermodynamic formalism introduced by Stillinger and Weber [F. H. Stillinger and T. A. Weber, Phys. Rev. A 25, 978…

Soft Condensed Matter · Physics 2009-11-07 Emilia La Nave , Stefano Mossa , Francesco Sciortino

Using the inherent structure formalism originally proposed by Stillinger and Weber [Phys. Rev. A 25, 978 (1982)], we generalize the thermodynamics of an energy landscape that has an ideal glass transition and derive the consequences for its…

Soft Condensed Matter · Physics 2009-11-07 M. S. Shell , P. G. Debenedetti , E. La Nave , F. Sciortino

A recently suggested equation of state with the induced surface tension is generalized to the case of quantum gases with mean-field interaction. The self-consistency conditions of such a model and the necessary one to obey the Third Law of…

Nuclear Theory · Physics 2018-11-19 K. A. Bugaev , A. I. Ivanytskyi , V. V. Sagun , E. G. Nikonov , G. M. Zinovjev

Features and parameters of \boiling" liquid layer, which arises under conditions of isentropic expansion of warm dense matter (WDM), are stud- ied with the use of simplest van der Waals equation of state (EOS). Advan- tage of this EOS is…

Plasma Physics · Physics 2012-09-04 Dmitry Borovikov , Igor Iosilevskiy

Molecular dynamics simulations are used to generate an ensemble of saddles of the potential energy of a Lennard-Jones liquid. Classifying all extrema by their potential energy u and number of unstable directions k, a well defined relation…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Kamal K. Bhattacharya , Andrea Cavagna , Annette Zippelius , Irene Giardina

There is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of non-equilibrium systems in steady states. We have made such an extension for an ideal gas in a heat flow…

Statistical Mechanics · Physics 2023-01-31 Robert Hołyst , Karol Makuch , Konrad Giżyński , Anna Maciołek , Paweł J. Żuk

Inspired by the recent developments in the study of the thermodynamics of van der Waals fluids via the theory of nonlinear conservation laws and the description of phase transitions in terms of classical (dissipative) shock waves, we…

Exactly Solvable and Integrable Systems · Physics 2016-08-24 Francesco Giglio , Giulio Landolfi , Antonio Moro

The van der Waals (VDW) equation of state is a simple and popular model to describe the pressure function in equilibrium systems of particles with both repulsive and attractive interactions. This equation predicts an existence of a…

Nuclear Theory · Physics 2015-06-29 V. Vovchenko , D. V. Anchishkin , M. I. Gorenstein

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

In this paper, we modify the VDW equation of state by adding a temperature factor to it. As a result, we give out a good phase diagram and the correlation of the reduced pressure and the reduced temperature when a balanced liquid-gas…

Statistical Mechanics · Physics 2007-05-23 Jianxiang Tian , Yuanxing Gui

Numerical simulations of systems at coexistence are known to yield unstable fields in some regions of the density parameters, as well as inequivalence of ensembles. The Van der Waals-like loops are attributed to effects of the interface…

Statistical Mechanics · Physics 2021-04-30 Jozismar Rodrigues Alves , Vera Bohomoletz Henriques

Within the frame of macroscopic quantum electrodynamics in causal media, the van der Waals interaction between an atomic system and an arbitrary arrangement of dispersing and absorbing dielectric bodies including metals is studied. It is…

Quantum Physics · Physics 2007-05-23 Stefan Yoshi Buhmann , Ho Trung Dung , Dirk-Gunnar Welsch

The repulsive term of Van der Waals equation of state has been deduced and improved in this work using a probabilistic description of the configurational entropy. The aim is to find out whether its physical basis is suitable for the study…

Statistical Mechanics · Physics 2018-08-16 Jorge Garces

This contribution briefly reviews some recent work demonstrating the partial breakdown of the colloidal fluid <--> atomic fluid analogy. The success of liquid state theory for atomic fluids stems in part from the van der Waals picture,…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis

In principle, density functional theory yields the correct ground-state densities and energies of electronic systems under the action of a static external potential. However, traditional approximations fail to include Van der Waals energies…

Condensed Matter · Physics 2016-08-31 Walter Kohn , Yigal Meir , Dmitrii E. Makarov

By means of molecular dynamics simulations, we study the stationary points of the potential energy in a Lennard-Jones liquid, giving a purely geometric characterization of the energy landscape of the system. We find a linear relation…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Kamal K. Bhattacharya , Andrea Cavagna , Annette Zippelius , Irene Giardina

We carefully investigate the two fundamental assumptions in the Stillinger-Weber analysis of the inherent structures (IS's) in the energy landscape and come to conclude that they cannot be validated. This explains some of the conflicting…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. D. Gujrati , F. Semerianov

Pecularities of isentropic expansion of warm dense matter (WDM) created by intense energy fluxes are under discussion in situation when thermodynamic trajectory of such expansion crosses binodal of liquid-gas phase transition and expansion…

Plasma Physics · Physics 2013-06-13 D. S. Borovikov , I. L. Iosilevskiy

We analyze the properties of a Lennard-Jones system at the level of the potential energy landscape. After an exhaustive investigation of the topological features of the landscape of the systems, obtained studying small size sample, we…

Disordered Systems and Neural Networks · Physics 2016-08-31 L. Angelani , G. Parisi , G. Ruocco , G. Viliani

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
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