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相关论文: Density-scaling exponents and virial potential-ene…

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The recent theoretical prediction by Maimbourg and Kurchan [arXiv:1603.05023] that for regular pair-potential systems the virial potential-energy correlation coefficient increases towards unity as the dimension $d$ goes to infinity is…

软凝聚态物质 · 物理学 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

We use molecular dynamics simulation results on viscous binary Lennard-Jones mixtures to examine the correlation between the potential energy and the virial. In accord with a recent proposal [U. R. Pedersen et. al. Phys. Rev. Lett. 100,…

统计力学 · 物理学 2009-01-08 D. Coslovich , C. M. Roland

Liquids displaying strong virial-potential energy correlations conform to an approximate density scaling of their structural and dynamical observables. This scaling property does not extend to the entire phase diagram, in general. The…

软凝聚态物质 · 物理学 2020-12-23 Thibaud Maimbourg , Jeppe C. Dyre , Lorenzo Costigliola

We present a systematic study of the thermodynamics of two and three-dimensional generalized Lennard-Jones ($LJ$) systems focusing on the relationship between the range of the potential, the system density and its dimension. We found that…

统计力学 · 物理学 2007-05-23 M. J. Ison , A. Chernomoretz , C. O. Dorso

The crucial problem for better understanding the nature of glass transition and related relaxation phenomena is to find proper interrelations between molecular dynamics and thermodynamics of viscous systems. To gain this aim the recently…

软凝聚态物质 · 物理学 2012-10-17 Andrzej Grzybowski , Kajetan Koperwas , Marian Paluch

This note examines the second virial coefficient for an imperfect gas subject to a 2n-n interparticle potential in any dimension d between 0 and n. A compact analytic expression is presented for this quantity which shows that, apart from a…

统计力学 · 物理学 2016-08-31 M. Lawrence Glasser

The Lennard-Jones (LJ) spline potential is a truncated LJ potential such that both the pair potential and the force continuously approach zero at $r_c \approx 1.74{\sigma}$. We present a systematic map of the thermodynamic properties of the…

The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations. The gas and liquid densities in the coexisting state are determined with high accuracy. The critical point…

统计力学 · 物理学 2013-11-28 Hiroshi Watanabe , Nobuyasu Ito , Chin-Kun Hu

It was recently shown that vapor-liquid coexistence densities derived from Mie and Yukawa models collapse to define a single master curve when represented against the difference between the reduced second virial coefficient at the…

统计力学 · 物理学 2015-07-14 P. Orea , A. Romero-Martínez , E. Basurto , C. A. Vargas , G. Odriozola

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

软凝聚态物质 · 物理学 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

This paper investigates two conjectures for calculating the density dependence of the density-scaling exponent of a single-component, pair-potential liquid with strong virial potential-energy correlations. The first conjecture gives an…

软凝聚态物质 · 物理学 2014-09-23 Lasse Bøhling , Nicholas P. Bailey , Thomas B. Schrøder , Jeppe C. Dyre

The ground-state of two-dimensional (2D) systems of classical particles interacting pairwisely by the generalized Lennard-Jones potential is studied. Taking the surface area per particle $A$ as a free parameter and restricting oneself to…

其他凝聚态物理 · 物理学 2019-05-22 Igor Travěnec , Ladislav Šamaj

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest--neighbour Lennard--Jones potential are computed by molecular--dynamics simulations. A drastic qualitative change of the…

统计力学 · 物理学 2009-11-11 Stefano Lepri , Paolo Sandri , Antonio Politi

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

软凝聚态物质 · 物理学 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

软凝聚态物质 · 物理学 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

统计力学 · 物理学 2007-05-23 L. Šamaj , B. Jancovici

Molecular dynamic simulations for systems with $D=2,3$ Lennard-Jones-like interactions are studied. In the model, we assume that, at long distances, the two-body attractive potential decays as $r^{-\alpha}$. Thermodynamic extensivity…

凝聚态物理 · 物理学 2009-10-31 Sergio Curilef , Constantino Tsallis

A relation $\mathcal{M}_{\mathrm{SHS}\to\mathrm{LJ}}$ between the set of non-isomorphic sticky hard sphere clusters $\mathcal{M}_\mathrm{SHS}$ and the sets of local energy minima $\mathcal{M}_{LJ}$ of the $(m,n)$-Lennard-Jones potential…

原子与分子团簇 · 物理学 2018-05-02 Lukas Trombach , Robert S. Hoy , David J. Wales , Peter Schwerdtfeger

It is well known that elastic effects can cause surface instability. In this paper, we analyze a one-dimensional discrete system which can reveal pattern formation mechanism resembling the "step-bunching" phenomena for epitaxial growth on…

经典分析与常微分方程 · 数学 2021-04-21 Tao Luo , Yang Xiang , Nung Kwan Yip

We present an analysis and discuss consequences of the strong correlations of the configurational parts of pressure and energy in their equilibrium fluctuations at fixed volume reported for simulations of several liquids in the companion…

软凝聚态物质 · 物理学 2009-11-13 Nicholas P. Bailey , Ulf R. Pedersen , Nicoletta Gnan , Thomas B. Schrøder , Jeppe C. Dyre
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