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Thermodynamic formulation of flowing soft matter with transient forces

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Abstract

The Responsive Particle Dynamics model is a very efficient method to account for the transient forces present in complex fluids, such as solutions of entangled polymers. This coarse-grained model considers a solution of particles that are made of a core and a corona. The cores typically interact through conservative interactions, while the coronae transiently penetrate each other to form short-lived temporary interactions, typically of entropic origin. In this study, we reformulate the resulting rheological model within the general framework of nonequilibrium thermodynamics called General Equation for the Nonequilibrium Reversible–Irreversible Coupling. This allows us to determine the consistency of the model, from a mechanistic and thermodynamic point of view, and to isolate the reversible and irreversible contributions to the dynamics of the model system.

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Notes

  1. For a more detailed discussion of the Onsager–Casimir symmetry of the dissipative bracket, see Section 3.2.1 in Öttinger (2005); for a very detailed level of description, the dissipative bracket might not possess any well-defined symmetry properties, as is elaborated in Section 7.2.4 of Öttinger (2005).

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Acknowledgements

The authors thank Martin Kröger for insightful discussions. Support provided by the European Commission through the MODIFY (FP7-NMP-2008-SMALL-2, Code 228320) research project is greatly acknowledged.

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Authors and Affiliations

  1. Department of Materials, ETH Zürich, 8093, Zürich, Switzerland

    Thierry Savin & Hans Christian Öttinger

  2. Computational Biophysics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands

    Wim J. Briels

Authors
  1. Thierry Savin
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  2. Wim J. Briels
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  3. Hans Christian Öttinger
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Correspondence to Thierry Savin.

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Savin, T., Briels, W.J. & Öttinger, H.C. Thermodynamic formulation of flowing soft matter with transient forces. Rheol Acta 52, 23–32 (2013). https://doi.org/10.1007/s00397-012-0661-7

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  • DOI: https://doi.org/10.1007/s00397-012-0661-7

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