A Note for Kohlrausch-Williams-Watts Relaxation Function

• Kawasaki Yohji

  Institute for Chemical Research, Kyoto University

• Watanabe Hiroshi

  Institute for Chemical Research, Kyoto University

• Uneyama Takashi

  Institute for Chemical Research, Kyoto University

抄録

The Kohlrausch-Williams-Watts (KWW) relaxation function, F_KWW(t) = exp{-(t/τ_KWW)^β} with 0 < β ≤ 1 has been often utilized to describe relaxation processes in systems governed by cooperativity/coupling of molecules therein. Nevertheless, this function has not been well addressed in the general, phenomenological framework of linear relaxation phenomena, for which the relaxation function is expressed as F(t) = Σ_p g_pexp{-t/τ_p} with g_p and τ_p being the normalized intensity and characteristic time of pth (exponential) relaxation mode. In this study, the KWW function is analyzed to address this function in this general framework and derive analytical expressions of average relaxation times.

収録刊行物

• 日本レオロジー学会誌

  日本レオロジー学会誌 39 (3), 127-131, 2011

  一般社団法人 日本レオロジー学会

キーワード

• KWW relaxation function
• Framework of linear relaxation phenomena
• Average relaxation times

詳細情報

• CRID: 1390001205095618176
• NII論文ID: 10030208101
• NII書誌ID: AN00198812
• DOI: 10.1678/rheology.39.127
• ISSN: 21864586
• ISSN: 03871533
• NDL書誌ID: 11157088
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11157088
• Web Site: http://www.jstage.jst.go.jp/article/rheology/39/3/39_3_127/_pdf
• 本文言語コード: en
• データソース種別:
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