Ornstein-Zernike Relation for a Fluid Mixture with Direct Correlation Functions of Finite Range

Hiroike, Kazuo

doi:10.1143/jpsj.27.1415

Cited by 78 publications

(22 citation statements)

References 5 publications

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“…(18) and (19), respectively, and presented in Fig. 6 alongwith their experimental values as obtained from Hultgren et al [17] and Sommer et al [29], respectively.…”

Section: Thermodynamic Propertiesmentioning

confidence: 93%

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Study of glass forming tendency of Ca–Mg binary alloy and its physical properties: Pseudomolecule formation model

Kumar

Rafique

Jha

2006

Physica B: Condensed Matter

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“…(18) and (19), respectively, and presented in Fig. 6 alongwith their experimental values as obtained from Hultgren et al [17] and Sommer et al [29], respectively.…”

Section: Thermodynamic Propertiesmentioning

confidence: 93%

“…The partial structure factors have been computed through the hard sphere reference system (Young [18]) and the solution for Percus-Yevik equation for the m-component hard sphere mixture is obtained along the lines of Hirioke [19] and Hoshino [20]. The total structure factor is given by…”

Section: Structure Factormentioning

confidence: 99%

Study of glass forming tendency of Ca–Mg binary alloy and its physical properties: Pseudomolecule formation model

Kumar

Rafique

Jha

2006

Physica B: Condensed Matter

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“…If in the bulk equations (Eqs. ), the MSA approximation for the direct correlation function,

c_{i j} false(r_{12} false)

, is used in both the first term of its right hand side, and in the convolution integral, this equation becomes a linear integral equation, and has been analytically solved for some simple models . Other approximations and/or combinations for

c_{i j} false(r_{12} false)

, in Eqs.…”

Section: Theorymentioning

confidence: 99%

Equivalence between particles and fields: A general statistical mechanics theory for short and long range many‐body forces

Odriozola

Lozada‐Cassou

2016

Fortschritte der Physik

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While in vacuum fundamental and dispersion inter‐molecular forces can be in principle of infinite range, in the bulk, however, they are of rather short‐range, typically between a few angstroms to a few hundreds of angstroms. Yet colloidal particles, nano‐particles, and supramolecules, like enzymes, thousand or hundreds of thousands of angstroms apart, seem to recognize each other and self‐assembly, according with their shapes and sizes, in a wide variety of complex structures. In this paper we discuss this long‐range molecular recognition mechanism through a general liquid theory, based on the recognition of the equivalence between particles and fields, and molecular simulations. In particular we show results of a counter‐intuitive attraction between like‐charged colloidal particles and compare them with experimental results.

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“…Thus, one has to divulge into a computational effort, which is achieved through the hard-sphere reference system, obtaining the solutions of the PY equation for an m-component hardsphere mixture. [40,41] The TSF S(k) is expressed as follows:…”

Section: Structure Factorsmentioning

confidence: 99%

Electronic Transport and Thermodynamic Properties of Binary Liquid Alloy: Ab Initio Approach

Kumar¹,

Ojha²

2010

Metall Mater Trans B

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In this article, the Harrison's first principle pseudopotential technique has been employed to study the electrical resistivity and other physical properties (i.e., the Knight shift, Fermi energy, and electronic density of states) of Zintl liquid alloy. Because there is a possibility of formation of a compound in the system, as inferred from the graph of a partial structure factor of unlike pairs of atom, we also have computed the thermodynamic as well as the electron transport properties of this system, taking the complex formation model into account. Useful interpretation based on inferences has been withdrawn.

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Ornstein-Zernike Relation for a Fluid Mixture with Direct Correlation Functions of Finite Range

Cited by 78 publications

References 5 publications

Study of glass forming tendency of Ca–Mg binary alloy and its physical properties: Pseudomolecule formation model

Study of glass forming tendency of Ca–Mg binary alloy and its physical properties: Pseudomolecule formation model

Equivalence between particles and fields: A general statistical mechanics theory for short and long range many‐body forces

Electronic Transport and Thermodynamic Properties of Binary Liquid Alloy: Ab Initio Approach

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