### Abstract

The initial decay rate Ω(k(combining right arrow above sign)) of the dynamical scattering factor of a single regular star polymer is investigated with the chain conformational renormalization group method up to first order in ε. The reduced relaxation rate Ω(k(combining right arrow above sign))/k^{3} is expressed as the ratio of the mobility to the static structure factor, and we have analyzed the two contributions separately. At the Gaussian fixed point we have found a qualitatively different result to that of the standard calculation in three dimensions, and the difference comes from the effect of the ε-expansion on the mobility. The renormalization group result at the self-avoiding fixed point describes qualitatively well the behavior of Ω(k(combining right arrow above sign))/k^{3} observed in neutron scattering experiments for 12-arm stars in a good solvent.

Original language | English |
---|---|

Pages (from-to) | 3444-3449 |

Number of pages | 6 |

Journal | Macromolecules |

Volume | 28 |

Issue number | 9 |

Publication status | Published - 1 Dec 1995 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Materials Chemistry

### Cite this

*Macromolecules*,

*28*(9), 3444-3449.

**Dynamical response of a single star polymer chain.** / Carignano, Marcelo; Alessandrini, J. L.

Research output: Contribution to journal › Article

*Macromolecules*, vol. 28, no. 9, pp. 3444-3449.

}

TY - JOUR

T1 - Dynamical response of a single star polymer chain

AU - Carignano, Marcelo

AU - Alessandrini, J. L.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - The initial decay rate Ω(k(combining right arrow above sign)) of the dynamical scattering factor of a single regular star polymer is investigated with the chain conformational renormalization group method up to first order in ε. The reduced relaxation rate Ω(k(combining right arrow above sign))/k3 is expressed as the ratio of the mobility to the static structure factor, and we have analyzed the two contributions separately. At the Gaussian fixed point we have found a qualitatively different result to that of the standard calculation in three dimensions, and the difference comes from the effect of the ε-expansion on the mobility. The renormalization group result at the self-avoiding fixed point describes qualitatively well the behavior of Ω(k(combining right arrow above sign))/k3 observed in neutron scattering experiments for 12-arm stars in a good solvent.

AB - The initial decay rate Ω(k(combining right arrow above sign)) of the dynamical scattering factor of a single regular star polymer is investigated with the chain conformational renormalization group method up to first order in ε. The reduced relaxation rate Ω(k(combining right arrow above sign))/k3 is expressed as the ratio of the mobility to the static structure factor, and we have analyzed the two contributions separately. At the Gaussian fixed point we have found a qualitatively different result to that of the standard calculation in three dimensions, and the difference comes from the effect of the ε-expansion on the mobility. The renormalization group result at the self-avoiding fixed point describes qualitatively well the behavior of Ω(k(combining right arrow above sign))/k3 observed in neutron scattering experiments for 12-arm stars in a good solvent.

UR - http://www.scopus.com/inward/record.url?scp=0006319570&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006319570&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0006319570

VL - 28

SP - 3444

EP - 3449

JO - Macromolecules

JF - Macromolecules

SN - 0024-9297

IS - 9

ER -