Prediction of the Long-Range Correlation Length and the Structure Factor for Monatomic Fluids in the Supercritical Region (Condensed Matter : Structure, Mechanical and Thermal Properties)

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概要

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• In the recent article, we have calculated the long-range correlation length, ξ, for monatomic fluids near the critical region using our theoretical model for the direct correlation function, DCF. In this model the core of DCF has assumed modified Percus-Yevice function for the DCF of hard sphere and its tail has been considered as a Mayer-f function type via an effective pair potential. In this article, we have predicted the behaviour of low-angle structure of factor, S(k). Since, the model is able to predict the divergence behaviour of S(0) at this region which is related to critical fluctuation phenomena, we may obtain ξ via that. Also, since the DCF is always short-range at any thermodynamic state, we may obtain the coefficients of small-k expansion of c(k), Fourier transform of DCF, which are related to the intermolecular interactions at the critical region. In all cases, the coefficient of k^2 term in the expansion of c(k), c_2, which is related to correlation length, is negative because S(k) shows Ornestine-Zernike behaviour at small-k. We have obtained the range of k in which c_2 may be calculated from the expansion of c(k). This range depends on the thermodynamic states and decreases far away from the critical point. The correlation length shows divergence behaviour when the critical point approaches. We have shown, for supercritical of Krypton, the variation of correlation length with reduced temperature (T - T_c)/T_c has a power-law relation with a critical exponent equal to 0.89. Finally the relation of the correlation length with effective intermolecular parameters has been investigated.

• 社団法人日本物理学会の論文
• 2004-02-15

著者

• Rostami A

  Mazandaran Univ. Babolsar Irn

• Rostami Abbas

  Department Of Chemistry Faculty Of Basic Sciences Mazandaran University

• KESHAVARZI Ezat

  Department of Chemistry, Isfahan University of Technology

• NIKOOFARD Hossein

  Department of Chemistry, Faculty of Basic Sciences, Mazandaran University

• Keshavarzi E

  Department Of Chemistry Isfahan University Of Technology

• Keshavarzi Ezat

  Department Of Chemistry Isfahan University Of Technology

• Nikoofard Hossein

  Department Of Chemistry Faculty Of Basic Sciences Mazandaran University

関連論文

• Prediction of the Long-Range Correlation Length and the Structure Factor for Monatomic Fluids in the Supercritical Region (Condensed Matter : Structure, Mechanical and Thermal Properties)
• Prediction of the Low-k Behaviour of S(k) via a New Model for the DCF in Sub- and Supercritical Regions
• Hard-Like Equation of State (Condensed Matter: Structure, Mechanical and Thermal Properties)
• Solubility Prediction Using Statistical Mechanics
• The Direct Correlation Function and Its Interpretation via the Linear Isotherm Regularity

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