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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 1, Pages 127–138
DOI: https://doi.org/10.4213/tmf3 (Mi tmf3) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Critical Asymptotic Behavior of Correlations in a Simple Liquid

É. A. Arinstein

Tyumen State University
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DOI: https://doi.org/10.4213/tmf3
Abstract: We consider a representation of the total and the direct correlation functions in a liquid in terms of the corresponding spectral densities. Analysis of the spectral density properties reveals a mechanism responsible for changing the analytic properties of the Fourier transform of the correlation function and its asymptotic behavior in the critical domain. We show that the well-known restrictions imposed on possible values of the critical asymptotic exponent follow from this mechanism.
Keywords: spectral density, direct correlation function, critical domain, Ornstein–Zernike relation.
Received: 27.12.2002
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 1, Pages 107–117
DOI: https://doi.org/10.1023/B:TAMP.0000010638.07306.9f
Bibliographic databases:
Language: Russian
Citation: É. A. Arinstein, “Critical Asymptotic Behavior of Correlations in a Simple Liquid”, TMF, 138:1 (2004), 127–138; Theoret. and Math. Phys., 138:1 (2004), 107–117
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 107--117
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:37
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