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Correlation functions in the anomalous-dimension approximation for a multicomponent liquid

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Abstract

We analyze the features of solutions for pair correlation functions in the case of a multicomponent liquid. We obtain these solutions based on the Ornstein-Zernike equation. In the anomalous-dimension approximation, we find expressions for pair correlation functions in the case of a spatially unbounded multicomponent liquid. We show that all pair correlation functions for a system in the close vicinity of the critical state are described by a general expression similar to the expression for a pair correlation function in the case of a one-component liquid.

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Correspondence to A. N. Vasil’ev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 153, No. 1, pp. 124–129, October, 2007.

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Vasil’ev, A.N. Correlation functions in the anomalous-dimension approximation for a multicomponent liquid. Theor Math Phys 153, 1458–1462 (2007). https://doi.org/10.1007/s11232-007-0127-8

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  • DOI: https://doi.org/10.1007/s11232-007-0127-8

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