Factorization of 3-Point Static Structure Functions in 3D Yukawa Liquids

P. Magyar, P. Hartmann, G. J. Kalman, K. I. Golden, Z. Donkó

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2 Citations (Scopus)


In many-body systems the convolution approximation states that the 3-point static structure function, S(3)(k1, k2), can approximately be “factorized” in terms of the 2-point counterpart, S(2)(k1). We investigate the validity of this approximation in 3-dimensional strongly-coupled Yukawa liquids: the factorization is tested for specific arrangements of the wave vectors k1 and k2, with molecular dynamics simulations. With the increase of the coupling parameter we find a breakdown of factorization, of which a notable example is the appearance of negative values of S(3)(k1, k2), whereas the approximate factorized form is restricted to positive values. These negative values – based on the quadratic Fluctuation-Dissipation Theorem – imply that the quadratic part of the density response of the system changes sign with wave number. Our simulations that incorporate an external potential energy perturbation clearly confirm this behavior. (

Original languageEnglish
Pages (from-to)816-829
Number of pages14
JournalContributions to Plasma Physics
Issue number9
Publication statusPublished - Oct 1 2016



  • Structure functions
  • molecular dynamics simulation
  • response functions

ASJC Scopus subject areas

  • Condensed Matter Physics

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