The average stress tensor in systems with interacting particles

R.J.J. Jongschaap, D.K. Doeksen

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The derivation of an expression of the macroscopic stress tensor in terms of microscopic variables in systems of finite interacting particles is discussed from different points of view. It is shown that in volume averaging the introduction of a fictitious “interaction stress field”TI with special boundary conditions on the boundary of the averaging volume is needed. In ensemble averaging similar results are obtained by using a multipole expansion of the local stress and force fields. In the appropriate limiting cases, the obtained results are shown to be consistent with the results of kinetic theories of polymer solutions.
Original languageUndefined
Pages (from-to)4-11
JournalRheologica acta
Issue number1
Publication statusPublished - 1983


  • interacting particles
  • multiple expansion
  • IR-85747
  • Average stress tensor
  • ensemble averaging

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