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There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a…

统计力学 · 物理学 2010-04-16 P. Charbonneau , A. Ikeda , J. A. van Meel , K. Miyazaki

In this work we examine thermodynamics of fluid with "molecules" represented by two fused hard spheres, decorated by the attractive square-well sites. Interactions between these sites are of short-range and cause association between the…

软凝聚态物质 · 物理学 2016-03-24 M. Kastelic , Yu. V. Kalyuzhnyi , V. Vlachy

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

混沌动力学 · 物理学 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

Extensions to kinetic theory and hydrodynamic models are proposed that account for the existence of multi-particle contacts. In the presence of multi-particle contacts (involving elastic, reversible, potential contact energy), dissipation…

统计力学 · 物理学 2007-05-23 Stefan Luding , Alexander Goldshtein

The direct correlation function of a fluid mixture of parallel hard cubes is obtained by using Rosenfeld's fundamental measure approximation. This approximation is thermodynamically consistent (compressibility and virial equations of state…

凝聚态物理 · 物理学 2009-10-28 Jose A. Cuesta

In a previous work, a simple approach to derive the jamming packing fraction of a hard-sphere mixture from the knowledge of the random close-packing fraction of the monocomponent system was proposed. Now, an extension of that approach is…

软凝聚态物质 · 物理学 2023-01-20 Andrés Santos , Mariano López de Haro

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

统计力学 · 物理学 2009-11-11 Julio Largo , Nigel B. Wilding

In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of a new hybrid continuum-kinetic model. In particular, we combine conservation of mass and…

数值分析 · 数学 2022-02-02 A. Chertock , P. Degond , G. Dimarco , M. Lukáčova-Medvid'ová , A. Ruhi

We use the extension of scaled particle theory (ESPT) presented in the accompanying paper [Stillinger et al. J. Chem. Phys. xxx, xxx (2007)] to calculate numerically pair correlation function of the hard sphere fluid over the density range…

统计力学 · 物理学 2009-11-11 Swaroop Chatterjee , Pablo G. Debenedetti , Frank H. Stillinger

Polydisperse mixtures are those in which components with a whole range of sizes are present. It is shown that the fluid phase of polydisperse hard spheres is thermodynamically unstable unless the density of large spheres decreases at least…

软凝聚态物质 · 物理学 2009-10-31 Richard P. Sear

We show here that molecular resolution is inherently hybrid in terms of relative separation: If molecules are close to each other, they must be characterized by a fine-grained (geometrically detailed) model, yet if molecules are far from…

软凝聚态物质 · 物理学 2019-03-13 Aviel Chaimovich , Christine Peter , Kurt Kremer

By performing constant-pressure variable-cell ab initio molecular dynamics simulations we find a quadrupolar orthorhombic structure, of $Pca2_1$ symmetry, for the broken symmetry phase (phase II) of solid H2 at T=0 and P =110 - 150 GPa. We…

材料科学 · 物理学 2009-10-30 Jorge Kohanoff , Sandro Scandolo , Guido L. Chiarotti , Erio Tosatti

Particle size polydispersity can help to inhibit crystallization of the hard-sphere fluid into close-packed structures at high packing fractions and thus is often employed to create model glass-forming systems. Nonetheless, it is known that…

软凝聚态物质 · 物理学 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

We introduce novel high order well-balanced finite volume methods for the full compressible Euler system with gravity source term. They require no a priori knowledge of the hydrostatic solution which is to be well-balanced and are not…

To study the possibility of a fluid-fluid phase transition, we analyze a three-dimensional soft-core isotropic potential for a one-component system. We utilize two independent numerical approaches, (i) integral equation in the…

软凝聚态物质 · 物理学 2007-05-23 G. Franzese , G. Malescio , A. Skibinsky , S. V. Buldyrev , H. E. Stanley

We present a new equation of state (EOS) for dense hydrogen/helium mixtures which covers a range of densities from $10^{-8}$ to $10^6$ g.cm$^{-3}$, pressures from $10^{-9}$ to $10^{13}$ GPa and temperatures from $10^{2}$ to $10^{8}$ K. The…

太阳与恒星天体物理 · 物理学 2019-02-20 G. Chabrier , S. Mazevet , F. Soubiran

The binary additive hard-sphere mixtures have been studied by the Ornstein-Zernike integral equation coupled with the Martynov-Sarkisov (MS) closure approximation. Virial equation of state is computed in the MS approximation. The excess…

统计力学 · 物理学 2024-06-03 Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

It has been over a decade since the first experimental data from gold nuclei collisions at the Relativistic Heavy Ion Collider suggested hydrodynamic behavior. While early ideal hydrodynamical models were surprisingly accurate in their…

核理论 · 物理学 2013-07-30 Joshua Vredevoogd

Hodograph equations for the Euler equation in curved spaces with constant pressure are discussed. It is shown that the use of known results concerning geodesics and associated integrals allows to construct several types of hodograph…

数学物理 · 物理学 2025-04-15 B. G. Konopelchenko , G. Ortenzi

The equation of state for an ideal gas is simple, which is $P=nk_{\rm B}T$. In the case of imperfect gases where mutual interactions among the constituents are important, pressure $P$ can be expressed as the series expansion of density $n$…

软凝聚态物质 · 物理学 2024-03-20 Subhanker Howlader , Prasenjit Das