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We solve the Percus-Yevick equation in even dimensions by reducing it to a set of simple integro-differential equations. This work generalizes an approach we developed previously for hard discs. We numerically obtain both the pair…

统计力学 · 物理学 2008-10-15 M. Adda-Bedia , E. Katzav , D. Vella

The plasma consisting of confining gluons resulting from the Gribov quantization of the SU(3) Yang-Mills theory is studied using non-equilibrium fluid dynamical framework. Exploiting the Bjorken symmetry and using linear response theory a…

高能物理 - 唯象学 · 物理学 2016-11-23 Wojciech Florkowski , Radoslaw Ryblewski , Nan Su , Konrad Tywoniuk

A rule due to Bravais of wide validity for crystals is that their surfaces correspond to the densest planes of atoms in the bulk of the material. Comparing a theoretical model of i-AlPdMn with experimental results, we find that this…

材料科学 · 物理学 2009-11-10 Z. Papadopolos , P. Pleasants , G. Kasner , V. Fournee , T. Cai , C. Jenks , P. Thiel , J. Ledieu , R. McGrath

We employ the $\Phi-$ derivable approach to many particle systems with strong correlations that can lead to the formation of bound states (clusters) of different size. We define a generic form of $\Phi-$ functionals that is fully equivalent…

核理论 · 物理学 2015-02-24 David Blaschke

The fluid and solid equations of state for hard parallel squares and cubes are reinvestigated here over a wide range of densities. We use a novel single-speed version of molecular dynamics. Our results are compared with those from earlier…

统计力学 · 物理学 2015-05-13 Wm G Hoover , Carol G Hoover , Marcus N. Bannerman

The fourth virial coefficient is calculated exactly for a fluid of hard spheres in even dimensions. For this purpose the complete star cluster integral is expressed as the sum of two three-folded integrals only involving spherical angular…

统计力学 · 物理学 2022-05-11 Ignacio Urrutia

An equation of state of the hard sphere fluid which is not analytical at the freezing density is proposed and tested. The nonanalytical term is based on the the classical nucleation theory and is able to capture the observed ``anomalous…

统计力学 · 物理学 2016-07-06 J. Kolafa

Motivated by a recently identified severe discrepancy between a static and a dynamic theory of glasses, we numerically investigate the behavior of dense hard spheres in spatial dimensions 3 to 12. Our results are consistent with the static…

无序系统与神经网络 · 物理学 2011-10-28 Patrick Charbonneau , Atsushi Ikeda , Giorgio Parisi , Francesco Zamponi

The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N = 1054. In the predecessor to this paper…

统计力学 · 物理学 2013-05-29 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

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

We consider a fluid of hard spheres bearing one or two uniform circular adhesive patches, distributed so as not to overlap. Two spheres interact via a ``sticky'' Baxter potential if the line joining the centers of the two spheres intersects…

The collapse of an isolated, uniform and spherical cloud of self-gravitating particles represents a paradigmatic example of a relaxation process leading to the formation of a quasi-stationary state in virial equilibrium. We consider several…

宇宙学与河外天体物理 · 物理学 2012-06-12 Francesco Sylos Labini

We continue the work hep-th/0411075 considering here the case of degenerate masses. A nonabelian vortex arises in r-vacua upon the breaking by a superpotential for the adjoint field. We find the BPS tension in the strong coupling regime…

高能物理 - 理论 · 物理学 2010-12-03 Stefano Bolognesi

The influence of geometry on the local and global packing of particles is important to many fundamental and applied research themes such as the structure and stability of liquids, crystals and glasses. Here, we show by experiments and…

When fluid is confined between two molecularly smooth surfaces to a few molecular diameters, it shows a large enhancement of its viscosity. From experiments it seems clear that the fluid is squeezed out layer by layer. A simple solution of…

软凝聚态物质 · 物理学 2011-11-02 Saroj Kumar Nandi

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

We report extensive simulation studies of phase behaviour in single component systems of particles interacting via a core-softened interparticle potential. Two recently proposed examples of such potentials are considered; one in which the…

统计力学 · 物理学 2009-11-07 Nigel B. Wilding , James E. Magee

We present a field theoretic method for the calculation of the second and third virial coefficients b2 and b3 of 2-species fermions interacting via a contact interaction. The method is mostly analytic. We find a closed expression for b3 in…

量子气体 · 物理学 2013-05-29 Xavier Leyronas

Hard spheres are an important benchmark of our understanding of natural and synthetic systems. In this work, colloidal experiments and Monte Carlo simulations examine the equilibrium and out-of-equilibrium assembly of hard spheres of…

软凝聚态物质 · 物理学 2022-05-03 Lin Fu , Ce Bian , C. Wyatt Shields , Daniela F. Cruz , Gabriel P. López , Patrick Charbonneau

The asymptotic expansion method is extended by using currently available accurate values for the first ten virial coefficients for hard sphere fluids. It is then used to yield an equation of state for hard sphere fluids, which accurately…

化学物理 · 物理学 2019-03-27 Jianxiang Tian , Hua Jiang , Yuanxing Gui , A. Mulero