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Nonlinear Polymer Diffusion with Interchange Reactions

  • A. Garcia
  • C. Van den Broeck
Conference paper
Part of the Woodward Conference book series (WOODWARD)

Abstract

Polymers in a solvent move by Brownian motion with a diffusion rate D(n) where n is the number of bonds in the polymer. By interchange reactions, polymers may exchange bonds (change length). Under the assumption that the polymer lengths are Flory distributed, we obtain a pair of coupled nonlinear diffusion equations in the particle density and average bond number. We introduce a simulation algorithm, borrowed from rarefied gas dynamics, which is useful for general polymer transport problems. Solutions of the nonlinear diffusion equations are found to be in good agreement with simulation results. An example is presented where the diffusion equations fail while the simulation yields the correct results.

Keywords

Brownian Motion Bond Number Collision Operator Polymer Suspension Nonlinear Diffusion Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    D.K. Kondenpudi, J.Pojman and M. Malek-Mansour, J. Chem. Phys. 93 5931 (1989)CrossRefGoogle Scholar
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    J.G. Kirkwood, J. Riseman, J. Chem. Phys. 16 565 (1948)ADSCrossRefGoogle Scholar
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    G.A. Bird, Molecular Gas Dynamics Claredon Press, Oxford (1976).Google Scholar
  4. 4.
    A. Garcia, J. Pojman, D. Kondenpudi, and C. Van den Broeck, in preperation.Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 1990

Authors and Affiliations

  • A. Garcia
    • 1
  • C. Van den Broeck
    • 2
  1. 1.Dept. of PhysicsSJSUSan JoseUSA
  2. 2.Dept. of PhysicsThe Univ. of Texas at AustinAustinUSA

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