### Abstract

The relaxation modes and rates of a single polymer chain are studied by Monte Carlo simulations of the bond fluctuation model. On the basis of the method proposed by Takano and Miyashita [J. Phys. Soc. Jpn. 64 (1995) 3688], the approximate relaxation modes and rates are obtained by solving a generalized eigenvalue problem for the correlation matrices C_{i},_{j}(t) = <R_{i}(t) · R_{i}(t)>/3, where R_{i}(t) denotes the position of the ith segment relative to the center of mass of the polymer chain. For a chain of N segments with the excluded volume interaction, the contribution g̃_{i,p} of the pth slowest mode to R_{i} shows the i-dependence g̃_{i,p} α cos[(i - 1/2)pπ/N], which is the same as that of the Rouse model. The behavior of the relaxation rate λ_{p} of the pth slowest mode is in good agreement with the theoretical prediction λ_{p} ∼ (P/N)^{2v+1}, where v ≃ 0.588 is the exponent for the swelling of a polymer chain in good solvent.

Original language | English |
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Pages (from-to) | 1631-1637 |

Number of pages | 7 |

Journal | Journal of the Physical Society of Japan |

Volume | 66 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1997 Jun |

### Keywords

- Bond fluctuation model
- Excluded volume interaction
- Monte Carlo simulations
- Relaxation modes
- Single polymer

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Journal of the Physical Society of Japan*,

*66*(6), 1631-1637. https://doi.org/10.1143/JPSJ.66.1631