IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i26p6484-6496.html
   My bibliography  Save this article

Macroscopic thermodynamics of flowing polymers derived from systematic coarse-graining procedure

Author

Listed:
  • Ilg, Patrick

Abstract

Macroscopic thermodynamics of flowing polymeric liquids in terms of a single conformation tensor is derived from atomistic or mechanical bead-spring models via a systematic coarse-graining procedure. The macroscopic equations derived here are consistent with earlier works where they have been proposed on more phenomenological grounds. The present approach provides a microscopic justification of these equations including expressions for the transport coefficients. In addition, the macroscopic equations derived here consider second-order dissipative processes that arise due to cross-correlated fluctuations on the macroscopic variables and insofar offer an extension of the previously chosen level of description.

Suggested Citation

  • Ilg, Patrick, 2008. "Macroscopic thermodynamics of flowing polymers derived from systematic coarse-graining procedure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6484-6496.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6484-6496
    DOI: 10.1016/j.physa.2008.08.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108007516
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.08.032?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ilg, Patrick & Karlin, Iliya V. & Kröger, Martin & Öttinger, Hans Christian, 2003. "Canonical distribution functions in polymer dynamics. (II). Liquid-crystalline polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 134-150.
    2. Dukek, G. & Karlin, Iliya V. & Nonnenmacher, T.F., 1997. "Dissipative brackets as a tool for kinetic modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 239(4), pages 493-508.
    3. Rubı́, J.M. & Pérez-Madrid, A., 2001. "Mesoscopic non-equilibrium thermodynamics approach to the dynamics of polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 298(1), pages 177-186.
    4. Taniguchi, Tooru, 1997. "Thermodynamical properties in nonequilibrium statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 448-484.
    5. Louis, A.A. & Bolhuis, P.G. & Finken, R. & Krakoviack, V. & Meijer, E.J. & Hansen, J.P., 2002. "Coarse-graining polymers as soft colloids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 251-261.
    6. Ilg, Patrick & Karlin, Iliya V. & Öttinger, Hans Christian, 2002. "Canonical distribution functions in polymer dynamics. (I). Dilute solutions of flexible polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 367-385.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gorban, Alexander N. & Karlin, Iliya V., 2006. "Quasi-equilibrium closure hierarchies for the Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 325-364.
    2. Gorban, Alexander N. & Karlin, Iliya V. & Zinovyev, Andrei Yu., 2004. "Invariant grids for reaction kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 106-154.
    3. Rienäcker, G. & Kröger, M. & Hess, S., 2002. "Chaotic and regular shear-induced orientational dynamics of nematic liquid crystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 537-568.
    4. Lelièvre, Tony & Samaey, Giovanni & Zieliński, Przemysław, 2020. "Analysis of a micro–macro acceleration method with minimum relative entropy moment matching," Stochastic Processes and their Applications, Elsevier, vol. 130(6), pages 3753-3801.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6484-6496. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.