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Reconstruction of the potential of an intermolecular interaction on the basis of the virial coefficients

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Abstract

Some formulations of the problem of reconstructing the potential of the two-body interaction from the temperature dependence of the second virial coefficient are considered. For three-parameter potential models (Morse and Kihara) the formalism of the Fisher matrix is used to calculate the coefficients of the amplification of the errors in the determination of each of the parameters. For the general case of the nonparametric approach a scheme of formal linearization of the problem is given and conditions for unique solution of it found. The example of the reconstruction of the potential of Maxwellian molecules is given. Some new possibilities are noted for the unique reconstruction on the basis of the temperature dependences of the transport coefficients.

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Authors and Affiliations

  1. Institute of Theoretical and Applied Mechanics, Siberian Branch, USSR Academy of Sciences, USSR

    N. G. Preobrazhenskii & L. L. Frumin

Authors
  1. N. G. Preobrazhenskii
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  2. L. L. Frumin
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 30–33, June, 1980.

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Preobrazhenskii, N.G., Frumin, L.L. Reconstruction of the potential of an intermolecular interaction on the basis of the virial coefficients. Soviet Physics Journal 23, 484–487 (1980). https://doi.org/10.1007/BF00892312

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  • DOI: https://doi.org/10.1007/BF00892312

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