Matches in SemOpenAlex for { <https://semopenalex.org/work/W2082324229> ?p ?o ?g. }
- W2082324229 endingPage "4287" @default.
- W2082324229 startingPage "4272" @default.
- W2082324229 abstract "The pair structure and the thermodynamics of isotropic fluids composed of hard particles of different shapes and concentrations are considered by a new approach which (i) unifies the diagramatic Percus–Yevick theory and the geometric scaled particle theory, and (ii) leads to analytic accurate approximations for the direct correlation functions and cavity distribution functions. The scaled-particle interpolation idea of Reiss et al. is achieved diagramatically, approximating the full expansion of the direct correlation functions by appropriately renormalized low order graphs, in which the size of the field particle (‘‘black circle’’) is scaled. It is shown that the lowest order scaled field particle approximation, involving only pair excluded volumes as variables, and pair overlap volumes as functions, contains the exact solution of the Percus–Yevick integral equation for the general hard sphere mixture in D dimensions. An exact geometric relation obeyed by the excluded volume (covolume) of two fused convex bodies and another single convex body, is used to show that the scaled field particle theory is equivalent to the scaled particle expansion of the chemical potential in terms of the fundamental measures of the hard particles. This is in contrast to the conventional scaled particle Taylor series expansion in powers of the linear scale of the solute particle. The first order scaled field particle approximation and the ‘‘fundamental measure’’ scaled particle theory become identical when the fluid mixture contains only convex particles. For a D-dimensional (D=odd) hard spheres fluid mixture our new analysis enables to obtain the complete exact solution of the Percus–Yevick integral equation for the structure directly from its compressibility equation of state. This leads to the derivation of simple, analytic, geometric approximations for the direct correlation functions and cavity distribution functions of the general isotropic hard particle fluid, conformal to those for the hard sphere fluid mixture." @default.
- W2082324229 created "2016-06-24" @default.
- W2082324229 creator A5062371153 @default.
- W2082324229 date "1988-10-01" @default.
- W2082324229 modified "2023-10-03" @default.
- W2082324229 title "Scaled field particle theory of the structure and the thermodynamics of isotropic hard particle fluids" @default.
- W2082324229 cites W1877499661 @default.
- W2082324229 cites W1972155210 @default.
- W2082324229 cites W1972802297 @default.
- W2082324229 cites W1976663917 @default.
- W2082324229 cites W1982525446 @default.
- W2082324229 cites W1985531396 @default.
- W2082324229 cites W1990124987 @default.
- W2082324229 cites W1992470331 @default.
- W2082324229 cites W1997806588 @default.
- W2082324229 cites W1998038104 @default.
- W2082324229 cites W2001219037 @default.
- W2082324229 cites W2006619984 @default.
- W2082324229 cites W2006755239 @default.
- W2082324229 cites W2007316395 @default.
- W2082324229 cites W2010412080 @default.
- W2082324229 cites W2011041570 @default.
- W2082324229 cites W2013214382 @default.
- W2082324229 cites W2016060705 @default.
- W2082324229 cites W2016554158 @default.
- W2082324229 cites W2017595695 @default.
- W2082324229 cites W2018650334 @default.
- W2082324229 cites W2022306103 @default.
- W2082324229 cites W2022540401 @default.
- W2082324229 cites W2022817479 @default.
- W2082324229 cites W2027886127 @default.
- W2082324229 cites W2029030493 @default.
- W2082324229 cites W2035280036 @default.
- W2082324229 cites W2037161130 @default.
- W2082324229 cites W2037506305 @default.
- W2082324229 cites W2043237329 @default.
- W2082324229 cites W2046847103 @default.
- W2082324229 cites W2049485940 @default.
- W2082324229 cites W2049543304 @default.
- W2082324229 cites W2051696573 @default.
- W2082324229 cites W2063961279 @default.
- W2082324229 cites W2065351060 @default.
- W2082324229 cites W2065451617 @default.
- W2082324229 cites W2065790815 @default.
- W2082324229 cites W2067895295 @default.
- W2082324229 cites W2068250959 @default.
- W2082324229 cites W2076912375 @default.
- W2082324229 cites W2080301500 @default.
- W2082324229 cites W2081028355 @default.
- W2082324229 cites W2081405865 @default.
- W2082324229 cites W2081994679 @default.
- W2082324229 cites W2082710031 @default.
- W2082324229 cites W2084041890 @default.
- W2082324229 cites W2085768241 @default.
- W2082324229 cites W2088814124 @default.
- W2082324229 cites W2094501734 @default.
- W2082324229 cites W2097073709 @default.
- W2082324229 cites W2118782204 @default.
- W2082324229 cites W2137473039 @default.
- W2082324229 cites W2149078628 @default.
- W2082324229 cites W2153718645 @default.
- W2082324229 cites W2164861541 @default.
- W2082324229 cites W3188090945 @default.
- W2082324229 cites W4247785816 @default.
- W2082324229 doi "https://doi.org/10.1063/1.454810" @default.
- W2082324229 hasPublicationYear "1988" @default.
- W2082324229 type Work @default.
- W2082324229 sameAs 2082324229 @default.
- W2082324229 citedByCount "120" @default.
- W2082324229 countsByYear W20823242292012 @default.
- W2082324229 countsByYear W20823242292013 @default.
- W2082324229 countsByYear W20823242292014 @default.
- W2082324229 countsByYear W20823242292015 @default.
- W2082324229 countsByYear W20823242292016 @default.
- W2082324229 countsByYear W20823242292017 @default.
- W2082324229 countsByYear W20823242292018 @default.
- W2082324229 countsByYear W20823242292020 @default.
- W2082324229 countsByYear W20823242292021 @default.
- W2082324229 countsByYear W20823242292022 @default.
- W2082324229 countsByYear W20823242292023 @default.
- W2082324229 crossrefType "journal-article" @default.
- W2082324229 hasAuthorship W2082324229A5062371153 @default.
- W2082324229 hasConcept C111368507 @default.
- W2082324229 hasConcept C121332964 @default.
- W2082324229 hasConcept C121864883 @default.
- W2082324229 hasConcept C127313418 @default.
- W2082324229 hasConcept C184050105 @default.
- W2082324229 hasConcept C202444582 @default.
- W2082324229 hasConcept C2778517922 @default.
- W2082324229 hasConcept C33923547 @default.
- W2082324229 hasConcept C62520636 @default.
- W2082324229 hasConcept C74650414 @default.
- W2082324229 hasConcept C9652623 @default.
- W2082324229 hasConcept C97355855 @default.
- W2082324229 hasConcept C99987037 @default.
- W2082324229 hasConceptScore W2082324229C111368507 @default.
- W2082324229 hasConceptScore W2082324229C121332964 @default.
- W2082324229 hasConceptScore W2082324229C121864883 @default.