### 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 language | English (US) |
---|---|

Pages (from-to) | 93-105 |

Number of pages | 13 |

Journal | Journal de Physique I |

Volume | 7 |

Issue number | 1 |

State | Published - 1997 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Engineering(all)

### Cite this

*Journal de Physique I*,

*7*(1), 93-105.

}

*Journal de Physique I*, vol. 7, no. 1, pp. 93-105.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Dynamics in blends of long polymers with unentangled short chains

AU - Colby, Ralph H.

PY - 1997

Y1 - 1997

N2 - 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.

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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M3 - Article

AN - SCOPUS:0030736968

VL - 7

SP - 93

EP - 105

JO - Journal De Physique, I

JF - Journal De Physique, I

SN - 1155-4304

IS - 1

ER -