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• W2019213384 abstract "We extend our earlier study of magnetic systems to give a unifying statistical–mechanical treatment of nonlinear effects in dielectrics in the presence of an external electric field. In so doing, we make contact with—and broaden the scope of−the Ho/ye–Stell mean‐field theory of such effects. In particular, we find that when the applied field is fully eliminated in favor of the macroscopic field, our P1HNC approximation (a hypernetted chain approximation truncated after the first spherical harmonic) yields the Ho/ye–Stell expression for dielectric susceptibility χ as a function of macroscopic field. We also show the equivalence of our formalism and an open‐system version of the nonlinear formalism of Nienhuis and Deutch as well as the correspondences between our results and the nonlinear results of Ramshaw. Similarly, we note the direct connection between our approach and the wall‐particle approach used by Rasaiah, Isbister, and Stell and by Martina and Stell. The latter approach permits the extension of our P1HNC approximation for the one‐particle correlation function of the dielectric medium into the immediate vicinity of a surface of that medium defined by a spherical macrocavity through which an applied field E0 is passing (although we do not focus on that extension here). The wall‐particle approach yields expressions initially in terms of applied field E0 rather than macroscopic field E. We compare our microscopic method of eliminating E0 with the use of the most complete macroscopic relation between E and E0 currently available and conclude that microscopic elimination of E0 is decidedly advantageous, at least in the regime we study here, which is far from the wall on a microscopic scale. We also make some comparisons with the computer simulation results of Adams and Adams. Other specific results we obtain include a new microscopic derivation of the electrostriction effect exact through O(E2) as well as the P1HNC result for the dielectric‐saturation coefficient. It predicts for an open system a crossover from ’’normal’’ saturation (i.e., negative ∂χ/∂E) to ’’anomalous’’ saturation (positive ∂χ/∂E) as a dielectric liquid approaches its critical point. We note that, although not exact, the P1HNC theory yields a dielectric susceptibility that is exact in the low‐density limit (where it reduces to the celebrated Debye–Langevin result for noninteracting particles). In contrast to the oversimple Debye–Langevin result, which gives anomalous saturation for all states of an open system, the P1HNC result yields normal saturation in the liquid‐state region." @default.
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• W2019213384 date "1982-07-15" @default.
• W2019213384 modified "2023-10-18" @default.
• W2019213384 title "Electrostriction and dielectric saturation in a polar fluid" @default.
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• W2019213384 doi "https://doi.org/10.1063/1.443913" @default.
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