On polymer expansions for equilibrium systems of oscillators with ternary interaction

被引：0
|
作者：
Skrypnyk V.I. [1 ]
机构：
[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
来源：
Ukrainian Mathematical Journal | 2001年 / 53卷 / 11期
关键词：
Polymer; Potential Energy; Correlation Function; Quantum System; Density Matrice;
D O I：
10.1023/A:1015207014469
中图分类号：
学科分类号：
摘要：
For Gibbs lattice systems characterized by a measurable space at sites of a d-dimensional hypercubic lattice and potential energy with pair complex potential, we formulate conditions that guarantee the convergence of polymer (cluster) expansions. We establish that the Gibbs correlation functions and reduced density matrices of classical and quantum systems of linear oscillators with ternary interaction can be expressed in terms of correlation functions of these systems. © 2001 Plenum Publishing Corporation.
引用
收藏
页码：1865 / 1881
页数：16
相关论文
共 50 条
  • [31] PHASE-EQUILIBRIUM OF POLYMER SYSTEMS
    VSHIVKOV, SA
    KOMOLOVA, NA
    VYSOKOMOLEKULYARNYE SOEDINENIYA SERIYA A, 1981, 23 (12): : 2780 - 2787
  • [32] STUDY OF TERNARY-SYSTEMS POLYMER-SOLVENT MIXTURE IN THERMODYNAMIC-EQUILIBRIUM WITH CORRESPONDING BINARY SOLVENT
    HERT, M
    STRAZIEL.C
    MAKROMOLEKULARE CHEMIE-MACROMOLECULAR CHEMISTRY AND PHYSICS, 1974, 175 (07): : 2149 - 2169
  • [33] 4-PHASE EQUILIBRIUM IN TERNARY-SYSTEMS
    SILMAN, GI
    STEEL IN THE USSR, 1975, 5 (01): : 61 - 63
  • [34] Correlation of vapor -: Liquid equilibrium data of ternary systems
    Graczová, E
    Steltenpohl, P
    Bálintová, L
    Krsacková, E
    CHEMICAL PAPERS, 2004, 58 (06) : 442 - 446
  • [35] THE ORIGIN OF TRIPLE LIQUID PHASE EQUILIBRIUM IN TERNARY SYSTEMS
    KRUPATKIN, IL
    ZHURNAL OBSHCHEI KHIMII, 1958, 28 (04): : 1108 - 1112
  • [36] TYPES OF EQUILIBRIUM DIAGRAMS FOR TERNARY SYSTEMS BASED ON TITANIUM
    KORNILOV, II
    BUDBERG, PB
    DOKLADY AKADEMII NAUK SSSR, 1958, 119 (05): : 942 - 944
  • [37] PREDICTION OF EQUILIBRIUM IN TERNARY ION-EXCHANGE SYSTEMS
    UNA, GV
    PAMPIN, RM
    CAEIRO, RB
    ANALES DE QUIMICA SERIE A-QUIMICA FISICA Y QUIMICA TECNICA, 1985, 81 (01): : 141 - 145
  • [38] TRANSITION OF AN UNIVARIANT FORMATION EQUILIBRIUM INTO AN UNIVARIANT DECOMPOSITION EQUILIBRIUM IN TERNARY-SYSTEMS
    KANANI, N
    ZEITSCHRIFT FUR METALLKUNDE, 1979, 70 (02): : 100 - 103
  • [39] Equilibrium of metals with iminodiacetic resin in binary and ternary systems
    Arévalo, E
    Fernández, A
    Rendueles, M
    Díaz, M
    SOLVENT EXTRACTION AND ION EXCHANGE, 1999, 17 (02) : 429 - 454
  • [40] REMOVAL OF DIVERGENCES IN DIAGRAM EXPANSIONS FOR SYSTEMS WITH COULOMB INTERACTION
    KUZMIN, VL
    THEORETICAL AND MATHEMATICAL PHYSICS, 1977, 31 (02) : 434 - 438
12345