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Volumn 60, Issue 2, 1999, Pages 1906-1912

Microscopic basis of free-volume concept as studied by quasielastic neutron scattering and positron annihilation lifetime spectroscopy

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000168928     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.1906     Document Type: Article
Times cited : (60)

References (31)
  • 1
    • 85036311455 scopus 로고    scopus 로고
    • Dynamics of Glass Transition and Related Topics, Proceedings of the Yukawa International Seminar (YKIS’96), edited by T. Odagaki, Y. Hiwatari, and J. Matsui [Prog. Theor. Phys. Suppl.126 (1997), and references herein]
    • Dynamics of Glass Transition and Related Topics, Proceedings of the Yukawa International Seminar (YKIS’96), edited by T. Odagaki, Y. Hiwatari, and J. Matsui [Prog. Theor. Phys. Suppl.126 (1997), and references herein].
  • 12
    • 85036253759 scopus 로고    scopus 로고
    • The relation (Formula presented) is valid only for one-dimensional motions; for three-dimensional isotropic motions, (Formula presented) should be replaced by (Formula presented) In this paper, we use the above relation to evaluate (Formula presented) because it is not obvious whether the motions observed here are one-, two-, or three-dimensional and the numerical factor (Formula presented) is not essential in the discussion of this paper
    • The relation (Formula presented) is valid only for one-dimensional motions; for three-dimensional isotropic motions, (Formula presented) should be replaced by (Formula presented) In this paper, we use the above relation to evaluate (Formula presented) because it is not obvious whether the motions observed here are one-, two-, or three-dimensional and the numerical factor (Formula presented) is not essential in the discussion of this paper.
  • 17
  • 18
    • 85036242108 scopus 로고    scopus 로고
    • J. D. Ferry, Viscoelastic Properties of Polymers (WLF Parameter) (John Wiley & Sons Inc., New York, 1980), p. 277
    • J. D. Ferry, Viscoelastic Properties of Polymers (WLF Parameter) (John Wiley & Sons Inc., New York, 1980), p. 277.
  • 23
    • 85036207118 scopus 로고    scopus 로고
    • Strictly speaking, the relation of Eq. (11) is valid only for a two-dimensional case. In one-and three-dimensional cases, more complex expressions are obtained [see Eqs. (6) and (7) in Ref. 21], giving a temperature-dependent preexponential factor. However, since the variation of the prefactors with temperature is very small compared with the variation of the exponential term, the deviation due to the prefactors is unobservable
    • Strictly speaking, the relation of Eq. (11) is valid only for a two-dimensional case. In one-and three-dimensional cases, more complex expressions are obtained [see Eqs. (6) and (7) in Ref. 21], giving a temperature-dependent preexponential factor. However, since the variation of the prefactors with temperature is very small compared with the variation of the exponential term, the deviation due to the prefactors is unobservable.
  • 24
    • 85036141770 scopus 로고    scopus 로고
    • As described in Sec. II, the mean-square displacement observed by LAM-80 and GP-TAS are related to motions in time ranging faster than (Formula presented) and (Formula presented) respectively. The slower motions are observed in the LAM-80 measurements, so that the mean-square displacement observed by LAM-80 is larger and the temperature dependence is stronger than those observed by GP-TAS, respectively. Hence the apparent critical value (Formula presented) evaluated from the LAM-80 data is smaller than that from GP-TAS
    • As described in Sec. II, the mean-square displacement observed by LAM-80 and GP-TAS are related to motions in time ranging faster than (Formula presented) and (Formula presented) respectively. The slower motions are observed in the LAM-80 measurements, so that the mean-square displacement observed by LAM-80 is larger and the temperature dependence is stronger than those observed by GP-TAS, respectively. Hence the apparent critical value (Formula presented) evaluated from the LAM-80 data is smaller than that from GP-TAS.
  • 28
    • 85036265232 scopus 로고    scopus 로고
    • This assumption corresponds to (Formula presented) at (Formula presented)
    • This assumption corresponds to (Formula presented) at (Formula presented)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.