Dynamics in blends of long polymers with unentangled short chains

Research output: Contribution to journalArticle

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Abstract

Scaling ideas for dynamics of polymer solutions are extended to the case of a solution of long chains (of N monomers) in unentangled short chains (of P monomers). The P chains can be sufficiently short to make the long chains partially swell (P < TV1'2). While the configurational statistics of the partially swollen long chains are perfectly analogous to the case of a long chain in marginal solvent, the dynamics are qualitatively different because of differences in the screening of hydrodynamic interactions. When the long chains are dilute and partially swollen (N > P2), hydrodynamic interactions control their terminal relaxation. When N < P2, excluded volume is fully screened, and the dilute long chains relax by Rouse motion (with hydrodynamic interactions fully screened). The assumptions about hydrodynamic screening in dilute solution have consequences in the semidilute regimes of unentangled and entangled behavior, where we calculate the viscosity and the tracer diffusion coefficients. We end with a discussion of assumptions about hydrodynamic screening, and experiments are suggested to test those assumptions using binary blends with one unentangled component.

Original languageEnglish (US)
Pages (from-to)93-105
Number of pages13
JournalJournal de Physique I
Volume7
Issue number1
StatePublished - 1997

Fingerprint

Hydrodynamics
hydrodynamics
polymers
Polymers
Screening
Monomers
screening
monomers
Polymer solutions
tracers
Viscosity
diffusion coefficient
interactions
viscosity
scaling
Experiments

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Engineering(all)

Cite this

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Dynamics in blends of long polymers with unentangled short chains. / Colby, Ralph H.

In: Journal de Physique I, Vol. 7, No. 1, 1997, p. 93-105.

Research output: Contribution to journalArticle

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AU - Colby, Ralph H.

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AB - Scaling ideas for dynamics of polymer solutions are extended to the case of a solution of long chains (of N monomers) in unentangled short chains (of P monomers). The P chains can be sufficiently short to make the long chains partially swell (P < TV1'2). While the configurational statistics of the partially swollen long chains are perfectly analogous to the case of a long chain in marginal solvent, the dynamics are qualitatively different because of differences in the screening of hydrodynamic interactions. When the long chains are dilute and partially swollen (N > P2), hydrodynamic interactions control their terminal relaxation. When N < P2, excluded volume is fully screened, and the dilute long chains relax by Rouse motion (with hydrodynamic interactions fully screened). The assumptions about hydrodynamic screening in dilute solution have consequences in the semidilute regimes of unentangled and entangled behavior, where we calculate the viscosity and the tracer diffusion coefficients. We end with a discussion of assumptions about hydrodynamic screening, and experiments are suggested to test those assumptions using binary blends with one unentangled component.

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