About: Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density

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Description	We have derived the cavity function to second order in density and the fourth virial coefficient as functions of reduced temperature for penetrable sphere fluids. The expressions are exact, except for the function represented by an elementary diagram inside the core, which is approximated by a polynomial form in excellent agreement with accurate results obtained by Monte Carlo integration. Comparison with the hypernetted-chain and Percus-Yevick theories shows that the latter is better than the former only for reduced temperature lower than 1. However, even at zero temperature (hard sphere limit), the Percus-Yevick solution is not accurate inside the overlapping region, where no practical cancellation of the neglected diagrams takes place. We have derived the cavity function to second order in density and the fourth virial coefficient as functions of reduced temperature for penetrable sphere fluids. The expressions are exact, except for the function represented by an elementary diagram inside the core, which is approximated by a polynomial form in excellent agreement with accurate results obtained by Monte Carlo integration. Comparison with the hypernetted-chain and Percus-Yevick theories shows that the latter is better than the former only for reduced temperature lower than 1. However, even at zero temperature (hard sphere limit), the Percus-Yevick solution is not accurate inside the overlapping region, where no practical cancellation of the neglected diagrams takes place. (en) Pro tekutinu prostupných koulí byly odvozeny vztahy pro kavitní funkci do druhého řádu v hustotě a pro čtvrtý viriální koeficient v závislosti na redukované teplotě. Odvozené vztahy jsou exaktní s výjimkou funkce representované elementárním diagramem uvnitř jádra, aproximované polynomickou formou ve výborné shodě s přesnými údaji získanými integrací Monte Carlo. Porovnání s hypernetted-chain teorií a Perkusovou-Yevickovou (PY) teorií ukazuje, že PY je lepší pouze pro redukované teploty menší než 1. PY řešení však není přesné ani při redukované teplotě rovné nule (limit tuhých koulí), kde nedochází k praktickému vzájemnému vyrušení zanedbaných diagramů. (cs)
Title	Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density (en) Radiální distribuční funkce tekutiny prostupných koulí do druhého řádu v hustotě (cs)
skos:prefLabel	Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density (en) Radiální distribuční funkce tekutiny prostupných koulí do druhého řádu v hustotě (cs)
skos:notation	RIV/67985858:_____/07:00305930!RIV08-AV0-67985858
http://linked.open.../vavai/riv/strany	021201;1;021201;9
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z40720504), Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Malijevský, Alexandr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav chemických procesů AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	446267
http://linked.open...ai/riv/idVysledku	RIV/67985858:_____/07:00305930
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	penetrable spheres; cavity function; monte carlo integration (en)
http://linked.open.../riv/klicoveSlovo	monte carlo integration penetrable spheres cavity function
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[D39D289DE15D]
http://linked.open...i/riv/nazevZdroje	Physical Review. E
http://linked.open...in/vavai/riv/obor	CF
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	75
http://linked.open...iv/tvurceVysledku	Malijevský, Alexandr Santos, A.
http://linked.open...n/vavai/riv/zamer	Investigation of multiphase reacting systems for the design of processes important in synthesis and preparation of novel materials, in energy production and in environmental protection Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
issn	1539-3755
number of pages	9 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density Radial Distribution Function of Penetrable Sphere Fluids to the Second Order in Density

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