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2005 | 3 | 1 | 47-60
Tytuł artykułu

Extraction of interatomic potentials from structure of liquids

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The connection between interatomic potentials and structure functions of liquids is studied. The expressions for two- and three-body potentials are obtained. The contribution of three-body effects is found to be significant, reaching several per cent of the ground-state energy.
Słowa kluczowe
Wydawca

Czasopismo
Rocznik
Tom
3
Numer
1
Strony
47-60
Opis fizyczny
Daty
wydano
2005-03-01
online
2005-03-01
Twórcy
  • Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., UA-79005, Lviv, Ukraine, andrij@ktf.franko.lviv.ua
Bibliografia
  • [1] J.E. Jones: “On the Determination of Molecular Fields.-II. From the Equation of State of a Gas”,Proc. Roy. Soc. London Ser. A, Vol. 106, (1924), pp. 463–477.
  • [2] W.L. McMillan: “Ground State of Liquid He4”,Phys. Rev., Vol. 138, (1965), pp. A442-A451. http://dx.doi.org/10.1103/PhysRev.138.A442[Crossref]
  • [3] J.C. Slater, J.G. Kirkwood: “The van der Waals Forces in Gases”,Phys. Rev., Vol. 37, (1931), pp. 682–697. http://dx.doi.org/10.1103/PhysRev.37.682[Crossref]
  • [4] R.A. Aziz, V.P.S. Nain, J.S. Carley, W.L. Taylor, G.T. McConville: “An accurate intermolecular potential for helium”,J. Chem. Phys.,Vol. 70, (1979),pp. 4330–4342. http://dx.doi.org/10.1063/1.438007[Crossref]
  • [5] R.A. Aziz, J. Presley, U. Buck, J. Schleusener: “An accurate intermolecular potential for Ar−Kr”,J. Chem. Phys.,Vol. 70, (1979),pp. 4737–4741. http://dx.doi.org/10.1063/1.437262[Crossref]
  • [6] A.R. Janzen, R.A. Aziz: “An accurate potential energy curve for helium based on ab initio calculations”,J. Chem. Phys.,Vol. 107, (1997),pp. 914–919. http://dx.doi.org/10.1063/1.474444[Crossref]
  • [7] J.B. Anderson, C.A. Traynor, B.M. Boghosian: “An exact quantum Monte Carlo calculation of the helium-helium intermolecular potential”,J. Chem. Phys.,Vol. 99, (1993),pp. 345–351. http://dx.doi.org/10.1063/1.465812[Crossref]
  • [8] K.T. Tang, J.P. Toennies, C.L. Yiu: “Accurate Analytical He−He van der Waals Potential Based on Perturbation Theory”,Phys. Rev. Lett.,Vol. 74, (1995),pp. 1546–1549. http://dx.doi.org/10.1103/PhysRevLett.74.1546[Crossref]
  • [9] J.B. Anderson: “An exact Monte Carlo calculation of the helium-helium intermolecular potential. II”,J. Chem. Phys.,Vol. 115, (2001),pp. 4546–4548. http://dx.doi.org/10.1063/1.1390512[Crossref]
  • [10] M.C. Bellissent-Funel, P. Chieux, D. Levesque, J.J. Weis: “Structure factor and effective two-body potential for liquid gallium”,Phys. Rev. B, Vol. 39, (1989), pp. 6310–6318.
  • [11] G. Tóth: “Determination of pair-potential parameters from experimental structure factors”,J. Chem. Phys.,Vol. 115, (2001),pp. 4770–4775. http://dx.doi.org/10.1063/1.1391453[Crossref]
  • [12] J. Boronat, J. Casulleras: “Monte Carlo analysis of an interatomic potential for He”,Phys. Rev. B,Vol. 49, (1994),pp. 8920–8930. http://dx.doi.org/10.1103/PhysRevB.49.8920[Crossref]
  • [13] B.M. Axilrod, E. Teller: “Interaction of the van der Waals Type Between Three Atoms”,J. Chem. Phys.,Vol. 11, (1943),pp. 299–300. http://dx.doi.org/10.1063/1.1723844[Crossref]
  • [14] C.A. Parish, C.E. Dykstra: “Three-body analytical potential for interacting helium atoms”,J. Chem. Phys.,Vol. 101, (1994),pp. 7618–7624. http://dx.doi.org/10.1063/1.468255[Crossref]
  • [15] I. Røeggen, J. Almlöf: “An accurate calculation of the three-body potential for the ground state of the helium trimer”,J. Chem. Phys.,Vol. 102, (1995),pp. 7095–7105. http://dx.doi.org/10.1063/1.469103[Crossref]
  • [16] A. Bhattacharya, J.B. Anderson: “The interaction potential of a symmetric helium trimer”,J. Chem. Phys.,Vol. 100, (1994),pp. 8999–9001. http://dx.doi.org/10.1063/1.467258[Crossref]
  • [17] N.N. Bogoliubov, D.N. Zubarev: “Volnovaja funkcija nižnego sostojanija sistemy vzaimodejstvujuščix boze-častic”,Zh. Eksp. Teor. Fiz.,Vol. 28, (1955),pp. 129–139 [in Russian]: [Sov. Phys.-JETP, Vol. 1, (1955), pp. 83–92].
  • [18] I.A. Vakarchuk: “Density-Matrices of Superfluid He-4. 1”,Theor. Math. Phys., Vol. 80, (1989), pp. 983–991; “Density-Matrices of Superfluid He-4. 2”,Theor. Math. Phys., Vol. 82, (1990), pp. 308–316. http://dx.doi.org/10.1007/BF01016193[Crossref]
  • [19] I.O. Vakarchuk, V.V. Babin, A.A. Rovenchak: “A potential energy of interaction between helium atoms”,J. Phys. Stud.,Vol. 4, (2000),pp. 16–22.
  • [20] E. Krotscheck: “Optimal three-body correlations and elementary diagrams in liquid4He”,Phys. Rev. B,Vol. 33, (1986),pp. 3158–3167. http://dx.doi.org/10.1103/PhysRevB.33.3158[Crossref]
  • [21] H.N.V. Temperley, J.S. Rowlison, G.S. Rushbrooke (Eds.):Physics of simple liquids, Wiley Interscience Division, New York, 1968.
  • [22] E.M. Lifshitz, L.P. Pitaevskii, A.M. Kosevich:Course in Theoretical Physics Vol. 9: Statistical Physics, Part 2, Butterworth-Heinemann, 1980.
  • [23] H.N. Robkoff, R.B. Hallock: “Structure-factor measurements in4He at saturated vapor pressure for 1.38≤T≤4.24 K”,Phys. Rev. B,Vol. 24, (1981),pp. 159–182. http://dx.doi.org/10.1103/PhysRevB.24.159
  • [24] I.O. Vakarchuk, A.A. Rovenchak: “Representation of the short-range interactions in liquid helium via modified hard sphere potentials”,J. Phys. Stud., Vol. 5, (2001), pp. 126–130.
  • [25] J.L. Yarnell, M.J. Katz, R.G. Wenzel, S.H. Koenig: “Structure Factor and Radial Distribution Function for Liquid Argon at 85°K”,Phys. Rev. A,Vol. 7, (1973),pp. 2130–2144. http://dx.doi.org/10.1103/PhysRevA.7.2130[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_BF02476505
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