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The exact transfer-matrix solution for the longitudinal equilibrium properties of the single-file hard-disk fluid is used to study the limiting low- and high-pressure behaviors analytically as functions of the pore width. In the…

统计力学 · 物理学 2023-04-19 Ana M. Montero , Andrés Santos

Three-field Fluid-Structure Interaction (FSI) formulations for fluid and solid are applied and compared to the standard two field-one field formulation for fluid and solid, respectively. Both formulations are applied in a non linear setting…

数值分析 · 数学 2020-10-13 Alexis Tello , Ramon Codina

The London ground-state energy formula as a function of number density for a system of identical boson hard spheres, corrected for the reduced mass of a pair of particles in a sphere-of-influence picture, and generalized to fermion…

统计力学 · 物理学 2009-11-13 M. A. Solís , M. de Llano , J. W. Clark , George A. Baker

A recent paper [I. Klebanov et al. \emph{Mod. Phys. Lett. B} \textbf{22} (2008) 3153; arXiv:0712.0433] claims that the exact solution of the Percus-Yevick (PY) integral equation for a system of hard spheres plus a step potential is…

软凝聚态物质 · 物理学 2009-11-09 Andrés Santos

A recent proposal in which the equation of state of a polydisperse hard-sphere mixture is mapped onto that of the one-component fluid is extrapolated beyond the freezing point to estimate the jamming packing fraction $\phi_\text{J}$ of the…

The site-site Ornstein-Zernike equation combined with the Verlet-modified bridge function has been applied to the binary hard sphere mixtures and pressure consistency has been tested. An equation of state has been computed for the case…

统计力学 · 物理学 2023-11-09 Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

The energy route to the equation of state of hard-sphere fluids is ill-defined since the internal energy is just that of an ideal gas and thus it is independent of density. It is shown that this ambiguity can be avoided by considering a…

统计力学 · 物理学 2007-05-23 Andres Santos

A theoretical scheme for the calculation of the full phase diagram (including cloud and shadow curves, binodals and distribution functions of the coexisting phases) for colloid-polymer mixtures with polymer chain length polydispersity and…

软凝聚态物质 · 物理学 2009-11-13 Y. V. Kalyuzhnyi , P. T. Cummings

In this paper, we consider a class of models for multiphase fluids, in the framework of mixture theory. The considered system, in its more general form, contains both the gradient of a hydrostatic pressure, generated by an incompressibility…

偏微分方程分析 · 数学 2016-10-14 Roberta Bianchini , Roberto Natalini

It is well known that the increase of the spatial dimensionality enhances the fluid-fluid demixing of a binary mixture of hard hyperspheres, i.e. the demixing occurs for lower mixture size asymmetry as compared to the three-dimensional…

软凝聚态物质 · 物理学 2015-05-19 Luis Lafuente , Yuri Martinez-Raton

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 solid-solid coexistence of a polydisperse hard sphere system is studied by using the Monte Carlo simulation. The results show that for large enough polydispersity the solid-solid coexistence state is more stable than the single-phase…

软凝聚态物质 · 物理学 2009-11-13 Mingcheng Yang , Hongru Ma

We review the literature on scaled particle theory (SPT) and its extensions and discuss results applied to describe the thermodynamics of hard particle mixtures. After explaining the basic concepts of scaled particle theory to compute the…

软凝聚态物质 · 物理学 2025-07-01 Volodymyr Shmotolokha , Jonas Maier-Borst , Mark Vis , Anja Kuhnhold , Remco Tuinier

The structure, thermodynamics and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remains a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate…

软凝聚态物质 · 物理学 2024-08-21 Subhashish Chaki , Baicheng Mei , Kenneth S. Schweizer

Hard-sphere mixtures provide one a solvable reference system that can be used to improve the density functional theory of realistic molecular fluids. We show how the Kierlik-Rosinberg's scalar version of the fundamental measure density…

化学物理 · 物理学 2012-07-23 Maximilien Levesque , Rodolphe Vuilleumier , Daniel Borgis

We develop a resummed thermodynamic perturbation theory for bond cooperativity in associating fluids by extension of Wertheim's multi - density formalism. We specifically consider the case of an associating hard sphere with two association…

软凝聚态物质 · 物理学 2013-12-19 B. D. Marshall , W. G. Chapman

Fluid polyamorphism, the existence of multiple amorphous fluid states in a single-component system, has been observed or predicted in a variety of substances. A remarkable example of this phenomenon is the fluid-fluid phase transition in…

软凝聚态物质 · 物理学 2022-09-21 Nathaniel R. Fried , Thomas J. Longo , Mikhail A. Anisimov

The Ornstein-Zernike integral equation method has been employed for a single-component hard sphere fluid in terms of the Percus-Yevick (PY) and Martynov-Sarkisov (MS) approximations. Virial equation of state has been computed in both…

统计力学 · 物理学 2023-06-21 Purevkhuu Munkhbaatar , Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

Exact results are given for the fourth virial coefficient of hard spheres in even dimensions up through 12. The fifth and sixth virial coefficients are numerically computed for dimensions 2 through 50 and it is found that the sixth virial…

统计力学 · 物理学 2007-05-23 N. Clisby , B. M. McCoy

We use video microscopy to study a two-dimensional (2D) model fluid of charged colloidal particles suspended in water and compute the pressure from the measured particle configurations. Direct experimental control over the particle density…

软凝聚态物质 · 物理学 2009-11-10 M. Brunner , C. Bechinger , U. Herz , H. H. von Grunberg