The average stress tensor in systems with interacting particles |
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Authors: | R J J Jongschaap D Doeksen |
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Institution: | (1) Department of Applied Physics, Twente University of Technology, P.O.B. 217, NL-7500 AE Enschede, The Netherlands |
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Abstract: | 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”T
I
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.
Paper, presented at the First Conference of European Rheologists at Graz, April 14 – 16, 1982. |
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Keywords: | Average stress tensor interacting particles ensemble averaging multiple expansion |
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