Geodesic
Critical Asymptotic Behavior of Correlations in a~Simple Liquid
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 127-138

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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. 
@article{TMF_2004_138_1_a9,
     author = {\'E. A. Arinstein},
     title = {Critical {Asymptotic} {Behavior} of {Correlations} in {a~Simple} {Liquid}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {127--138},
     publisher = {mathdoc},
     volume = {138},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a9/}
}
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É. A. Arinstein. Critical Asymptotic Behavior of Correlations in a~Simple Liquid. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 127-138. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a9/