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We have studied the structure and thermodynamic properties of isotropic three-dimensional core-softened fluid by using the second-order Ornstein-Zernike integral equations completed by the hypernetted chain and Percus-Yevick closures. The…

软凝聚态物质 · 物理学 2011-06-17 O. Pizio , Z. Sokolowska , S. Sokolowski

We study the thermodynamic and structural properties of a simple, one-patch fluid model using the reference hypernetted-chain (RHNC) integral equation and specialized Monte Carlo simulations. In this model, the interacting particles are…

软凝聚态物质 · 物理学 2015-05-14 Achille Giacometti , Fred Lado , Julio Largo , Giorgio Pastore , Francesco Sciortino

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

It is by now well known that the relativistic heavy-ion collisions at RHIC, BNL have produced a strongly interacting fluid with remarkable properties, among them the lowest ever observed ratio of the coefficient of shear viscosity to…

核理论 · 物理学 2010-03-19 Rajeev S. Bhalerao

We employ inhomogeneous integral equation theory to investigate the equilibrium properties of hard disks confined to a channel of width $L$ by hard parallel walls. If the channel width is narrowed below two disk diameters, then the system…

软凝聚态物质 · 物理学 2026-03-10 J. M. Brader , E. Di Bernardo , S. M. Tschopp

Integral equation of pure liquids, combined with a new "scaling approximation" based on a corresponding states treatment of pair correlation functions, is used to evaluate approximate structure factors for colloidal fluids constituted of…

In a vertical channel driven by an imposed horizontal temperature gradient, numerical simulations have previously shown steady, time-periodic and chaotic dynamics. We explore the observed dynamics by constructing invariant solutions of the…

流体动力学 · 物理学 2024-11-27 Zheng Zheng , Laurette S. Tuckerman , Tobias M. Schneider

We have obtained by Monte Carlo NVT simulations the constant-volume excess heat capacity of square-well fluids for several temperatures, densities and potential widths. Heat capacity is a thermodynamic property much more sensitive to the…

统计力学 · 物理学 2007-05-23 J. Largo , J. R. Solana , L. Acedo , A. Santos

We have used an extended Scaled-Particle Theory that incorporates four-body correlations through the fourth-order virial coefficient to analyse the orientational properties of a fluid of hard right-angle triangles. This fluid has been…

软凝聚态物质 · 物理学 2023-07-13 Enrique Velasco , Yuri Martinez-Raton

We study the glassy transition for simple liquids in the hypernetted chain (HNC) approximation by means of an effective potential recently introduced. Integrating the HNC equations for hard spheres, we find a transition scenario analogous…

统计力学 · 物理学 2009-10-30 Miguel Cardenas , Silvio Franz , Giorgio Parisi

Percus showed that approximate theories for the structure of nonuniform hard sphere fluids can be generated by linear truncations of functional expansions of the nonuniform density rho (r) about that of an appropriately chosen uniform…

统计力学 · 物理学 2007-05-23 Yng-Gwei Chen , John D. Weeks

We present methodologies for calculating the direct correlation function, c(1,2), the cavity function, y(1,2), and the bridge function, b(1,2), for molecular liquids, from Monte Carlo simulations. As an example we present results for the…

软凝聚态物质 · 物理学 2009-11-11 David L. Cheung , Lucian Anton , Michael P. Allen , Andrew J. Masters

For suspensions of permeable particles, the short-time translational and rotational self-diffusion coefficients, and collective diffusion and sedimentation coefficients are evaluated theoretically. An individual particle is modeled as a…

软凝聚态物质 · 物理学 2015-05-27 Bogdan Cichocki , Maria L. Ekiel-Jezewska , G. Naegele , E. Wajnryb

In liquid helium 4, many features associated to Bose statistics have been masked by the strongly interacting nature of the liquid. As an example of these features, we examine the shear viscosity of liquid helium 4 above the lambda point.…

超导电性 · 物理学 2007-12-27 Shun-ichiro Koh

Penetrative turbulent Rayleigh-B\'enard convection which depends on the density maximum of water near $4^\circ\rm{C}$ is studied using two-dimensional (2D) and three-dimensional (3D) direct numerical simulations (DNS). The working fluid is…

流体动力学 · 物理学 2019-06-26 Qi Wang , Quan Zhou , Zhen-Hua Wan , De-Jun Sun

In studying the transport of particles and inclusions in multi-phase systems we are often interested in integrated quantities such as the total force and the net velocity of the particles. Here, we derive a reciprocal formulation for linear…

软凝聚态物质 · 物理学 2023-12-14 Moslem Moradi , Wenzheng Shi , Ehssan Nazockdast

The thermal conductivity of classical multi-component fluids is seemingly affected by the intrinsic arbitrariness in the definition of the atomic energies and it is ill-conditioned numerically, when evaluated from the Green-Kubo theory of…

统计力学 · 物理学 2019-09-30 Riccardo Bertossa , Federico Grasselli , Loris Ercole , Stefano Baroni

We consider a two-dimensional model of a porous medium where circular grains are uniformly distributed in a squared container. We assume that such medium is partially filled with water and that the stationary interface separating the water…

偏微分方程分析 · 数学 2015-05-15 Maria Calle , Carlota M. Cuesta , Juan J. L. Velazquez

The relationship between the apparently unrelated physical quantities -- kinematic viscosity of liquid He-4, $\nu$, and quantum of circulation, $\kappa=2\pi \hbar/m_4$, where $\hbar$ is the Planck constant and $m_4$ denotes the mass of the…

流体动力学 · 物理学 2011-04-25 V. S. L'vov , L. Skrbek

Bi-presymplectic chains of one-forms of co-rank one are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which there exist related bi-Hamiltonian chains of vector fields are…

可精确求解与可积系统 · 物理学 2015-05-13 Maciej Błaszak , Metin Gürses , Kostyantyn Zheltukhin