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Critical Asymptotic Behavior of Correlations in a Simple Liquid

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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.

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  1. Tyumen State University, Tyumen, Russia

    É. A. Arinshtein

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  1. É. A. Arinshtein
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Arinshtein, É.A. Critical Asymptotic Behavior of Correlations in a Simple Liquid. Theoretical and Mathematical Physics 138, 107–117 (2004). https://doi.org/10.1023/B:TAMP.0000010638.07306.9f

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  • DOI: https://doi.org/10.1023/B:TAMP.0000010638.07306.9f

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