Self-diffusion of a polymer chain in a melt

Katsumi Hagita, Hiroshi Takano

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Self-diffusion of a polymer chain in a melt is studied by Monte Carlo simulations using the bond fluctuation model, where only the excluded volume interaction is taken into account. Polymer chains, each of which consists of N segments, are located on an L × L × L simple cubic lattice under periodic boundary conditions, where each segment occupies 2 × 2 × 2 unit cells. The results for N = 32, 48, 64, 96, 128, 192, 256, 384 and 512 at the volume fraction φ ≃ 0.5 are reported, where L = 128 for N ≤ 256 and L = 192 for N ≥ 384. The N-dependence of the self-diffusion constant D is examined. Here, D is estimated from the mean square displacements of the center of mass of a single polymer chain at times longer than the longest relaxation time. From the data for N = 256, 384 and 512, the apparent exponent x d, which describes the apparent power law dependence of D on N as D ∝ N-xd, is estimated to be xd ≃ 2.4. The ratio Dτ/〈Re 2〉 seems to be a constant for N = 192, 256, 384 and 512, where τ and 〈Re 2〉 denote the longest relaxation time and the mean square end-to-end distance, respectively.

Original languageEnglish
Pages (from-to)1824-1827
Number of pages4
JournalJournal of the Physical Society of Japan
Volume72
Issue number8
DOIs
Publication statusPublished - 2003 Aug

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polymers
relaxation time
cubic lattices
center of mass
exponents
boundary conditions
cells
simulation
interactions

Keywords

  • Bond fluctuation model
  • Diffusion constant
  • Lattice model
  • Melt
  • Monte Carlo simulations
  • Polymer chain
  • Reptation
  • Self-diffusion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Self-diffusion of a polymer chain in a melt. / Hagita, Katsumi; Takano, Hiroshi.

In: Journal of the Physical Society of Japan, Vol. 72, No. 8, 08.2003, p. 1824-1827.

Research output: Contribution to journalArticle

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