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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2007 Volume 153, Number 1, Pages 124–129 (Mi tmf6125)

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

A. N. Vasiliev

National Taras Shevchenko University of Kyiv

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.

Keywords: multicomponent system, correlation function, critical state, critical index, anomalous dimension.

Received: 03.11.2006
Revised: 25.01.2007

DOI: 10.4213/tmf6125


 English version:
Theoretical and Mathematical Physics, 2007, 153:1, 1458–1462

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© Steklov Math. Inst. of RAS, 2026