### Abstract

The relaxation modes and rates of a single polymer chain in the two-dimensional space with periodically placed obstacles are studied by Monte Carlo simulations. The bond fluctuation model is used as a model of a polymer chain. The excluded volume interactions between segments are taken into account. Each segment of the polymer chain occupies a square of width 2a, where a is the lattice constant of the square lattice used in the bond fluctuation model. The obstacles are squares of width 8a and form a square lattice with the lattice constant 16a. From the lattice model of reptation, it is expected that a polymer chain in the periodic array of obstacles shows the reptation behavior. The behavior of the pth slowest relaxation rate of a polymer chain of N segments is found to agree with the prediction λ_{p} α p^{2}/N_{3}. The behaviors of the diffusion constant of the center of mass and the radius of gyration are also consistent with the relation D_{G}/λ_{p=1} α R^{2}_{g}, which is expected from the reptation theory.

Original language | English |
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Pages (from-to) | 400-401 |

Number of pages | 2 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 138 |

Publication status | Published - 2000 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics Supplement*, (138), 400-401.

**Relaxation modes and rates of a single polymer chain in a periodic array of obstacles.** / Hagita, Katsumi; Takano, Hiroshi.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, no. 138, pp. 400-401.

}

TY - JOUR

T1 - Relaxation modes and rates of a single polymer chain in a periodic array of obstacles

AU - Hagita, Katsumi

AU - Takano, Hiroshi

PY - 2000

Y1 - 2000

N2 - The relaxation modes and rates of a single polymer chain in the two-dimensional space with periodically placed obstacles are studied by Monte Carlo simulations. The bond fluctuation model is used as a model of a polymer chain. The excluded volume interactions between segments are taken into account. Each segment of the polymer chain occupies a square of width 2a, where a is the lattice constant of the square lattice used in the bond fluctuation model. The obstacles are squares of width 8a and form a square lattice with the lattice constant 16a. From the lattice model of reptation, it is expected that a polymer chain in the periodic array of obstacles shows the reptation behavior. The behavior of the pth slowest relaxation rate of a polymer chain of N segments is found to agree with the prediction λp α p2/N3. The behaviors of the diffusion constant of the center of mass and the radius of gyration are also consistent with the relation DG/λp=1 α R2g, which is expected from the reptation theory.

AB - The relaxation modes and rates of a single polymer chain in the two-dimensional space with periodically placed obstacles are studied by Monte Carlo simulations. The bond fluctuation model is used as a model of a polymer chain. The excluded volume interactions between segments are taken into account. Each segment of the polymer chain occupies a square of width 2a, where a is the lattice constant of the square lattice used in the bond fluctuation model. The obstacles are squares of width 8a and form a square lattice with the lattice constant 16a. From the lattice model of reptation, it is expected that a polymer chain in the periodic array of obstacles shows the reptation behavior. The behavior of the pth slowest relaxation rate of a polymer chain of N segments is found to agree with the prediction λp α p2/N3. The behaviors of the diffusion constant of the center of mass and the radius of gyration are also consistent with the relation DG/λp=1 α R2g, which is expected from the reptation theory.

UR - http://www.scopus.com/inward/record.url?scp=0034337357&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034337357&partnerID=8YFLogxK

M3 - Article

SP - 400

EP - 401

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 0375-9687

IS - 138

ER -