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A statistical description of the local structure of condensed matter

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  • Mitus, A.C.
  • Patashinskii, A.Z.

Abstract

Conditions for the recognition of structures of 13-atom clusters (fcc, hcp, icosahedron) in the presence of thermal fluctuations of their constituent atoms are studied in the framework of the mathematical formalism of structural invariants, presented in part I of this paper. The problem of the choice of a small number of relevant invariants at various temperatures is investigated. The upper bound on the temperature of existence of the close-packed “structural” liquid — the close-packed melt—is estimated. The order-parameter for the description of the structural melt-melt phase transition accompanied by a change of the local structure is discussed. An hierarchic picture of the local structure of condensed matter is proposed.

Suggested Citation

  • Mitus, A.C. & Patashinskii, A.Z., 1988. "A statistical description of the local structure of condensed matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(2), pages 383-401.
    • Handle: RePEc:eee:phsmap:v:150:y:1988:i:2:p:383-401
    DOI: 10.1016/0378-4371(88)90159-8
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    Cited by:

    1. Levashov, V.A. & Ryltsev, R.E. & Chtchelkatchev, N.M., 2022. "Investigation of the degree of local structural similarity between the parent-liquid and children-crystal states for a model soft matter system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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