Singular behavior of Rouse-like spectra

A.I.M. Denneman, R.J.J. Jongschaap, J. Mellema

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)


In this study an extended Rouse formalism is used to obtain results belonging to (i) linear chains (K beads; K−1 Hookean springs), (ii) K×K cubic networks, or (iii) K×K×K cubes immersed in a Newtonian fluid. These three systems are subjected to small-amplitude oscillatory shear flow of frequency ω and the resulting dynamic moduli G′(ω) and G″(ω) show significant differences. For large K, the corresponding relaxation spectra H(λ) appear to be smooth functions of time λ, in which some obvious discontinuities are observed, i.e., the so-called Van Hove singularities (well known in solid-state physics). Actually, for these three systems a relation is obtained between H(λ) and the frequency spectra g(ω) used in solid-state physics.
Original languageEnglish
Pages (from-to)327-337
Number of pages11
JournalJournal of rheology
Issue number2
Publication statusPublished - 1999


  • IR-73501
  • METIS-128960


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