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Structural Invariants and the Description of the Local Structure of Condensed Matter

  • Antoni C. Mitus
  • Alexander Z. Patashinskii
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Part of the NATO ASI Series book series (NSSE, volume 183)

Abstract

We discuss the methodological aspects of the problem of the choice of the parameters intended for the description of local structure of condensed matter. The commonly used approaches are critically analyzed. The main difficulty reflects the lack of well-defined concept of degree of similarity of fluctuating structures. Consequently, some conclusions of the analysis of type of local order in “computer” model liquids are shown to be meaningless. We introduce the parameters -structural invariants- which are free from these difficulties.

Keywords

Local Structure Radial Distribution Function Structural Invariant Local Arrangement Model Liquid 
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References

  1. [1]
    A.C.Mitus and A.Z.Patashinskii, Physica, A150, 371 (1988); A150, 383 (1988).Google Scholar
  2. [2]
    A.C.Mitus and A.Z.Patashinskii, Sov.Phys. JETP, 53, 798 (1981); Phys.Lett., A87, 79 (1982).Google Scholar
  3. [3]
    D.R.Nelson and J.Toner, Phys.Rev., B24, 363 (1981).CrossRefGoogle Scholar
  4. [4]
    J.P.Hansen and I.R.McDonald, Theory of simple liquids. Academic Press, 1976.Google Scholar
  5. [5]
    A.C.Mitus and A.Z.Patashinskii, preprint 88-114, Institute of Nuclear Physics, Novosibirsk, USSR (1988).Google Scholar
  6. [6]
    M.Kimura and F.Yonezawa, J.Non-Cryst.Solids. 61&62, 535 (1984).CrossRefGoogle Scholar
  7. [7]
    N.N.Medvedev and Yu.I.Naberukhin, J.Struct.Chemistry (USSR), 26, 59 (1985).Google Scholar
  8. [8]
    Y.Hiwatari,T.Saito and A.Ueda, J.Chem.Phys.. 81, 6044 (1984).CrossRefGoogle Scholar
  9. [9]
    N.N.Medvedev,W.P.Voloshin and Yu.I.Naberukhin, J.Struct. Chemistry (USSR), 28, 62 (1987).Google Scholar
  10. [10]
    N.N.Medvedev and Yu.I.Naberukhin, DAN USSR. 288, 1104 (1986).Google Scholar
  11. [11]
    S.Ogata and S.Ichimaru, Phys.Rev., A39, 1333 (1989).CrossRefGoogle Scholar
  12. [12]
    C.Dussert,G.Rasigni,M.Rasigni,J.Palmari and A.Llebaria, Phys. Rev., B34, 3528 (1986).Google Scholar
  13. [13]
    L.D.Landau and E.M.Lifshits, Quantum Mechanics, Nauka, Moscov, 1984.Google Scholar
  14. [14]
    P.J.Steinhardt,D.R.Nelson and M.Ronchetti, Phys.Rev., B28, 784 (1983).CrossRefGoogle Scholar
  15. [15]
    L.D.Landau and E.M.Lifshits, Statistical Physics, Nauka, Moscov, 1976.Google Scholar
  16. [16]
    A.C.Mitus and A.Z.Patashinskii, Proceedings of the seventh international meeting on ferroelectricity, Saarbrucken, West Germany, 1989 (to be published in Ferroelectrics).Google Scholar

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Antoni C. Mitus
    • 1
    • 2
  • Alexander Z. Patashinskii
    • 3
    • 4
  1. 1.University of SaarlandDept. of Theoretical PhysicsSaarbruckenWest Germany
  2. 2.Institute of PhysicsTechnical UniversityWroclawPoland
  3. 3.Institute for New MaterialsUniversity of SaarlandSaarbruckenWest Germany
  4. 4.Institute of Nuclear PhysicsNovosibirskRussia

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