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Values of the fifth virial coefficient, compressibility factors, and fluid-fluid coexistence curves of binary asymmetric nonadditive mixtures of hard disks are reported. The former correspond to a wide range of size ratios and positive…

Different theoretical approaches for the thermodynamic properties and the equation of state for multicomponent mixtures of nonadditive hard spheres in $d$ dimensions are presented in a unified way. These include the theory by Hamad, our…

软凝聚态物质 · 物理学 2010-05-27 Andrés Santos , Mariano López de Haro , Santos B. Yuste

The fourth virial coefficient of asymmetric nonadditive binary mixtures of hard disks is computed with a standard Monte Carlo method. Wide ranges of size ratio ($0.05\leq q\leq 0.95$) and nonadditivity ($-0.5\leq \Delta\leq 0.5$) are…

软凝聚态物质 · 物理学 2012-05-17 Franz Saija , Andrés Santos , Santos B. Yuste , Mariano López de Haro

The problem of demixing in a binary fluid mixture of highly asymmetric additive hard spheres is revisited. A comparison is presented between the results derived previously using truncated virial expansions for three finite size ratios with…

软凝聚态物质 · 物理学 2013-05-03 Mariano López de Haro , Carlos F. Tejero , Andrés Santos

The fourth virial coefficient is calculated exactly for a fluid of hard spheres in odd dimensions up to 11.

统计力学 · 物理学 2009-11-10 I. Lyberg

The composition-independent virial coefficients of a $d$-dimensional binary mixture of (additive) hard hyperspheres following from a recent proposal for the equation of state of the mixture [Santos, A., Yuste, S. B., and L\'opez de Haro,…

统计力学 · 物理学 2007-05-23 A. Santos , S. B. Yuste , M. López de Haro

We study the thermodynamic stability of fluid-fluid phase separation in binary nonadditive mixtures of hard-spheres for moderate size ratios. We are interested in elucidating the role played by small amounts of nonadditivity in determining…

软凝聚态物质 · 物理学 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta

A binary fluid mixture of non-additive hard spheres characterized by a size ratio $\gamma=\sigma_2/\sigma_1<1$ and a non-additivity parameter $\Delta=2\sigma_{12}/(\sigma_1+\sigma_2)-1$ is considered in infinitely many dimensions. From the…

统计力学 · 物理学 2007-05-23 A. Santos , M. Lopez de Haro

The demixing transition of a binary fluid mixture of additive hard spheres is analyzed for different size asymmetries by starting from the exact low-density expansion of the pressure. Already within the second virial approximation the fluid…

统计力学 · 物理学 2009-11-10 M. Lopez de Haro , C. F. Tejero

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 for a multicomponent mixture of non-additive hard spheres in $d$ dimensions is proposed. It yields a rather simple density dependence and constitutes a natural extension of the equation of state for additive hard…

软凝聚态物质 · 物理学 2007-05-23 A. Santos , M. Lopez de Haro , S. B. Yuste

We construct a non-perturbative fully analytical approximation for the thermodynamics and the structure of nonadditive hard-sphere fluid mixtures. The method essentially lies in a heuristic extension of the Percus-Yevick solution for…

软凝聚态物质 · 物理学 2011-10-14 Riccardo Fantoni , Andrés Santos

New proposals for the equation of state of four- and five-dimensional hard-hypersphere mixtures in terms of the equation of state of the corresponding monocomponent hard-hypersphere fluid are introduced. Such proposals (which are…

软凝聚态物质 · 物理学 2020-04-22 Mariano López de Haro , Andrés Santos , Santos B. Yuste

A recently proposed rational-function approximation [Phys. Rev. E \textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard spheres is applied to evaluate analytically (in Laplace space) the local density profiles of…

软凝聚态物质 · 物理学 2013-04-08 Riccardo Fantoni , Andrés Santos

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

软凝聚态物质 · 物理学 2009-11-07 R. Roth , R. Evans , A. A. Louis

We calculate for the first time the full phase-diagram of an asymmetric non-additive hard-sphere mixture. The non-additivity strongly affects the crystallization and the fluid-fluid phase-separation. The global topology of the phase-diagram…

软凝聚态物质 · 物理学 2009-10-31 A. A. Louis , R. Finken , J. P. Hansen

Using a fundamental measure density functional theory we investigate both bulk and inhomogeneous systems of the binary non-additive hard sphere model. For sufficiently large (positive) non-additivity the mixture phase separates into two…

软凝聚态物质 · 物理学 2010-07-30 Paul Hopkins , Matthias Schmidt

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 different dimensional fluids inspired by noncommutative geometry which admit conformal Killing vectors. The solutions of the Einstein field equations examined specifically for five different set of spacetime. We calculate the…

广义相对论与量子宇宙学 · 物理学 2015-04-15 Farook Rahaman , Anirudh Pradhan , Nasr Ahmed , Saibal Ray , Bijan Saha , Mosiur Rahaman

Virial expansion is a traditional approach in statistical mechanics that expresses thermodynamic quantities, such as pressure $p$, as power series of density or chemical potential. Its radius of convergence can serve as a potential…

统计力学 · 物理学 2025-01-28 Kiyoharu Kawana
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