Long-range correlations in the statistical theory of critical fluid

作者: V. N. Bondarev

DOI:

关键词: Critical exponentStatistical theoryMathematicsExperimental dataStatistical physicsTotal correlationCritical point (thermodynamics)Transcendental numberIsing modelUniversality (dynamical systems)

摘要: Using the approach formulated in previous papers of author, a consistent procedure is developed for calculating non-classical asymptotic power terms total and direct correlation functions critical fluid. Analyzing Ornstein-Zernike equation allows us to find, first time, values transcendental exponents 1.73494 2.26989 which determine next leading one function. It shown that already simplest approximation based on only two leads functions, are quantitatively close corresponding ones Lennard-Jones fluid (argon) near-critical state. The obtained results open way theoretical interpretation experimental data characteristics real substances. Both arguments analysis published experimentally measured fluids lead conclusion known assumption sameness Ising model vicinity point (the universality hypothesis) should be questioned.

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