Energy elastic effects and the concept of temperature in flowing polymeric liquids
 Markus Hütter,
 Clarisse Luap,
 Hans Christian Öttinger
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The incorporation of energy elastic effects in the modeling of flowing polymeric liquids is discussed. Since conformational energetic effects are determined by structural features much smaller than the endtoend vector of the polymer chains, commonly employed single conformation tensor models are insufficient to describe energy elastic effects. The need for a local structural variable is substantiated by studying a microscopic toy model with energetic effects in the setting of a generalized canonical ensemble. In order to examine the dynamics of flowing polymeric liquids with energy elastic effects, a thermodynamically admissible set of evolution equations is presented that accounts for the evolution of the microstructure in terms of a slow tensor, as well as a fast, local scalar variable. It is demonstrated that the temperature used in the definition of the heat flux is directly related to the Lagrange multiplier of the microscopic energy in the generalized canonical partition function. The temperature equation is discussed with respect to, first, the dependence of the heat capacity on the polymer conformation and, second, the possibility to measure experimentally the effects of the conformational energy.
 Title
 Energy elastic effects and the concept of temperature in flowing polymeric liquids
 Journal

Rheologica Acta
Volume 48, Issue 3 , pp 301316
 Cover Date
 20090401
 DOI
 10.1007/s0039700803188
 Print ISSN
 00354511
 Online ISSN
 14351528
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Energy elastic effect
 Local structural variable
 Viscoelastic fluid
 Nonequilibrium thermodynamics
 Generalized canonical ensemble
 Industry Sectors
 Authors

 Markus Hütter ^{(1)}
 Clarisse Luap ^{(1)}
 Hans Christian Öttinger ^{(1)}
 Author Affiliations

 1. Department of Materials, Polymer Physics, ETH Zürich, WolfgangPauliStr. 10, 8093, Zürich, Switzerland