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Stochastic Flow Dynamics of Polymer Melts

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Recent Developments in Micromechanics

Abstract

The problem of the flow of polymer melts when subjected to external influences is of considerable interest in chemical engineering practice.

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References

  1. de Gennes, P.G., J. Chem. Phys., 1971, 55, 572.

    Article  ADS  Google Scholar 

  2. de Gennes, P.G., Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, 1979.

    Google Scholar 

  3. Doi, M., Edwards, S.F., J. Chem. Soc. Faraday Trans. 2, 1978, 74, 1789, 1802, 1818.

    Article  Google Scholar 

  4. Hess, W., Generalized Rouse Theory for Entangled Polymeric Liquids, Macro-molecules, 1988, 21, 2620–2632.

    Article  ADS  Google Scholar 

  5. Hess, W., Self-Diffusion and Reptation in Semidilute Polymer Solutions, Macro-molecules, 1986, 19, 1395–1404.

    Article  ADS  Google Scholar 

  6. Meister, B.J., Uniting Molecular Network Theory and Reptation Theory to Predict the Rheological Behaviour of Entangled Linear Polymers, Macromolecules, 1989, 22, 3611–3619.

    Article  ADS  Google Scholar 

  7. Kavassalis, T.A., Noolandi, J., A New Theory of Entanglements and Dynamics in Dense Polymer Systems, Macromolecules, 1988, 21, 2869–2879.

    Article  ADS  Google Scholar 

  8. Kavassalis, T.A., Noolandi, J., New View of Entanglements in Dense Polymer Systems, Physical Review Letters, 1987, 59, 2674.

    Article  ADS  Google Scholar 

  9. Flory, P.J., Spatial Configuration of Macromolecular Chains, Nobel Foundation Reprint: John Wiley & Sons, Inc., 1975.

    Google Scholar 

  10. Axelrad, D.R., Foundations of the Probabilistic Mechanics of Discrete Media, Pergammon Press, Oxford, 1984.

    MATH  Google Scholar 

  11. Kuratowski, K., Mostowski, A., Set Theory, North-Holland Publishing Company, Amsterdam, 1976.

    MATH  Google Scholar 

  12. Choquet-Bruhat, Yvonne, de Witt-Morette, Cecile, Dillard-Bleick, Margaret, Analysis, Manifolds and Physics, North-Holland Publishing Company, Amsterdam, 1977.

    MATH  Google Scholar 

  13. Prohorov, Yu. V., Rozanov, Yu A., Probability Theory, Springer, New York, 1969.

    Google Scholar 

  14. Bharucha-Reid, A.T., Elements of the Theory of Markov Processes and its Applications, McGraw-Hill, N.Y., 1960.

    Google Scholar 

  15. Doob, J.L., Stochastic Processes, Wiley, New York, 1961.

    Google Scholar 

  16. Feller, W., An Introduction to Probability Theory and its Application, Vols. I and II, Wiley, New York, 1966.

    Google Scholar 

  17. Adke, S.R., Manjunath, S.M., An Introduction to Finite Markov Processes, J. Wiley & Sons, New York, 1984.

    MATH  Google Scholar 

  18. Axelrad, D.R., On the Transient Behaviour of Structured Solids, in “Trends in Applications of Pure Mathematics to Mechanics”, Eds. Kröner E. and Kirchgässner K., Springer, Berlin, 1986.

    Google Scholar 

  19. Axelrad, D.R., Stochastic Analysis of the Structural Changes in Solids, in “Constitutive Laws and Microstructure”, Eds., Axelrad, D.R., Muschik, W., Springer, Berlin, 1988.

    Chapter  Google Scholar 

  20. Gihman, I.L, Skorohod, A.V., The Theory of Stochastic Processes, Vols. I and II, Springer, Berlin, 1975.

    MATH  Google Scholar 

  21. Lipster, R.S., Shiryayev, A.N., Statistics of Random Processes, Vol. II, Applications, Springer, New York, 1978.

    Google Scholar 

  22. Axelrad, D.R., Theory of Bond Failure in Hydrogen-Bonded Solids, Advances in Molecular Relaxation and Interaction Processes, 15, 1979, 51–69.

    Article  Google Scholar 

  23. Flory, P.J., Statistical Mechanics of Chain Molecules, Wiley & Sons, New York, 1969.

    Google Scholar 

  24. Richter, D. and Frick, B., Polymer Dynamics Near the Glass Transition in “Dynamics of Disordered Materials”, Edrs: D. Richter, A.J., Dianoux, W. Petry and J. Teixeira, Springer, Berlin, 1989.

    Google Scholar 

  25. Axelrad, D.R., Stochastic Theory for Porous Media, ZAMP, 41, No. 2, 1990.

    Google Scholar 

  26. Elliot, R.H., Stochastic Calculus and Applications, Springer, Berlin, 1982.

    Google Scholar 

  27. Horsthemke, W. and Lefever, R., Noise Induced Transitions: Theory and Application in Physics, Chemistry and Biology, Springer, Berlin, 1984.

    Google Scholar 

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© 1991 Springer-Verlag Berlin, Heidelberg

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Axelrad, D.R., Kamal, M.R., Frydrychowicz, W. (1991). Stochastic Flow Dynamics of Polymer Melts. In: Axelrad, D.R., Muschik, W. (eds) Recent Developments in Micromechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84332-7_11

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  • DOI: https://doi.org/10.1007/978-3-642-84332-7_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84334-1

  • Online ISBN: 978-3-642-84332-7

  • eBook Packages: Springer Book Archive

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