### Abstract

Relaxation modes and rates of a single polymer chain confined in a tube or a slit by repulsive walls are studied by Monte Carlo simulations of the bond fluctuation model, where only the excluded volume interaction is taken into account. The relaxation modes and rates of a polymer chain of N segments in the directions parallel and perpendicular to the walls are estimated by solving generalized eigenvalue problems for the equilibrium time correlation matrices of positions of the segments. For the parallel component, the behavior of the pth slowest relaxation rate λ_{p}^{∥} of a polymer chain of N segments agrees with the scaling prediction λ_{p}^{∥}≈λ_{b}(gp/N)^{x} for gp/N≪1, where x = 2 for a tube and x = 2.5 for a slit. Here, λ_{b} and g are the slowest relaxation rate within each blob and the number of segments per blob, respectively. The corresponding relaxation modes show the Rouse-like behavior. For the perpendicular component, the behavior of the pth slowest relaxation rate λ_{p}^{⊥} is consistent with the scaling prediction λ_{p}^{⊥}≈λ_{b} for gp/N<1. The behavior of the corresponding relaxation modes is consistent with the blob picture.

Original language | English |
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Title of host publication | Journal De Physique. IV : JP |

Publisher | Editions de Physique |

Volume | 10 |

Edition | 7 |

Publication status | Published - 2000 |

Event | International Workshop on Dynamics in Confinement - Grenoble, France Duration: 2000 Jan 26 → 2000 Jan 29 |

### Other

Other | International Workshop on Dynamics in Confinement |
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City | Grenoble, France |

Period | 00/1/26 → 00/1/29 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal De Physique. IV : JP*(7 ed., Vol. 10). Editions de Physique.

**Relaxation of a polymer chain confined in a tube or a slit.** / Hagita, K.; Takano, Hiroshi.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Journal De Physique. IV : JP.*7 edn, vol. 10, Editions de Physique, International Workshop on Dynamics in Confinement, Grenoble, France, 00/1/26.

}

TY - CHAP

T1 - Relaxation of a polymer chain confined in a tube or a slit

AU - Hagita, K.

AU - Takano, Hiroshi

PY - 2000

Y1 - 2000

N2 - Relaxation modes and rates of a single polymer chain confined in a tube or a slit by repulsive walls are studied by Monte Carlo simulations of the bond fluctuation model, where only the excluded volume interaction is taken into account. The relaxation modes and rates of a polymer chain of N segments in the directions parallel and perpendicular to the walls are estimated by solving generalized eigenvalue problems for the equilibrium time correlation matrices of positions of the segments. For the parallel component, the behavior of the pth slowest relaxation rate λp∥ of a polymer chain of N segments agrees with the scaling prediction λp∥≈λb(gp/N)x for gp/N≪1, where x = 2 for a tube and x = 2.5 for a slit. Here, λb and g are the slowest relaxation rate within each blob and the number of segments per blob, respectively. The corresponding relaxation modes show the Rouse-like behavior. For the perpendicular component, the behavior of the pth slowest relaxation rate λp⊥ is consistent with the scaling prediction λp⊥≈λb for gp/N<1. The behavior of the corresponding relaxation modes is consistent with the blob picture.

AB - Relaxation modes and rates of a single polymer chain confined in a tube or a slit by repulsive walls are studied by Monte Carlo simulations of the bond fluctuation model, where only the excluded volume interaction is taken into account. The relaxation modes and rates of a polymer chain of N segments in the directions parallel and perpendicular to the walls are estimated by solving generalized eigenvalue problems for the equilibrium time correlation matrices of positions of the segments. For the parallel component, the behavior of the pth slowest relaxation rate λp∥ of a polymer chain of N segments agrees with the scaling prediction λp∥≈λb(gp/N)x for gp/N≪1, where x = 2 for a tube and x = 2.5 for a slit. Here, λb and g are the slowest relaxation rate within each blob and the number of segments per blob, respectively. The corresponding relaxation modes show the Rouse-like behavior. For the perpendicular component, the behavior of the pth slowest relaxation rate λp⊥ is consistent with the scaling prediction λp⊥≈λb for gp/N<1. The behavior of the corresponding relaxation modes is consistent with the blob picture.

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UR - http://www.scopus.com/inward/citedby.url?scp=0033687218&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0033687218

VL - 10

BT - Journal De Physique. IV : JP

PB - Editions de Physique

ER -