BEHAVIOR OF THE DIELECTRIC CONSTANT OF FLUIDS NEAR A CRITICAL POINT

作者: J.V. Sengers , D. Bedeaux , P. Mazur , S.C. Greer

DOI: 10.1016/0378-4371(80)90014-X

关键词:

摘要: Thermodynamic and statistical mechanical arguments indicate that the temperature derivative of dielectric constant fluids diverges weakly at critical point. Following a thermodynamic procedure proposed by Mistura, we derive an expansion for static near gas-liquid point binary liquids mixing, which includes correction terms to asymptotic behavior. The relationship with derivation behavior is discussed. paper concludes assessment current experimental situation. expected exhibit singularity point’-‘). Several attempts have been made study effect experimentally, but subject has remained elusive. Part difficulty arises from weak character singularity. An analysis measurements close complicated possible presence spurious effects due gradients or gravitys). Furthermore, studies other fluid properties revealed simple power law restricted temperatures within few hundredths percent temperature’,‘). In this range difficulties become severe’s’). Hence, it becomes desirable reconsider theoretical predicting so as elucidate nature its well needed extend description over larger range. Exploring argument originally Mistura’), our approach based on application critical-point universality in electric field. Adopting

参考文章(57)
C. L. Hartley, D. T. Jacobs, R. C. Mockler, W. J. O'Sullivan, Observation of the anomalous refractive index of a critical binary fluid. [Methanol-cyclohexane] Physical Review Letters. ,vol. 33, pp. 1129- 1132 ,(1974) , 10.1103/PHYSREVLETT.33.1129
Joel Louis Lebowitz, Cyril Domb, Melville S. Green, Phase Transitions and Critical Phenomena ,(1972)
P. Mazur, M. Mandel, ON THE THEORY OF THE REFRACTIVE INDEX OF NON-POLAR GASES. II. STATISTICAL PART. Physica D: Nonlinear Phenomena. ,vol. 22, pp. 299- 310 ,(1956) , 10.1016/S0031-8914(56)80041-4
B. D. Ripley, R. McIntosh, THE COMPLEX DIELECTRIC CONSTANT OF SOLUTIONS OF TRIMETHYLPENTANE AND NITROBENZENE NEAR THE CONSOLUTE TEMPERATURE Canadian Journal of Chemistry. ,vol. 39, pp. 526- 534 ,(1961) , 10.1139/V61-063
Franz J. Wegner, Corrections to scaling laws Physical Review B. ,vol. 5, pp. 4529- 4536 ,(1972) , 10.1103/PHYSREVB.5.4529
B.A. Scheibner, C.M. Sorensen, D.T. Jacobs, R.C. Mockler, W.J. O'Sullivan, Thermal expansion of methanol + cyclohexane near the critical solution point Chemical Physics. ,vol. 31, pp. 209- 216 ,(1978) , 10.1016/0301-0104(78)87038-4
J.M. Lucas, B.L. Smith, Variation of the Lorentz-Lorenz function of xenon near the critical point Physics Letters. ,vol. 19, pp. 22- 23 ,(1965) , 10.1016/0031-9163(65)90947-9
I. Lubezky, R. McIntosh, Dielectric Constants of a Binary Solution Near the Critical Solution Temperature Canadian Journal of Chemistry. ,vol. 51, pp. 545- 550 ,(1973) , 10.1139/V73-083
A.J. Bray, Critical correlation function to order ϵ3 Physics Letters A. ,vol. 55, pp. 453- 455 ,(1976) , 10.1016/0375-9601(76)90218-8
Graham Morrison, Charles M. Knobler, Thermal expansion of isobutyric acid+water near the upper critical solution temperature Journal of Chemical Physics. ,vol. 65, pp. 5507- 5517 ,(1976) , 10.1063/1.433008