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Volumn 48, Issue 21, 1993, Pages 15638-15645

Non-Arrhenius response of glass-forming liquids

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EID: 0001098050     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.48.15638     Document Type: Article
Times cited : (127)

References (59)
  • 37
    • 84931526282 scopus 로고    scopus 로고
    • and N. A. Clark and M. A. Glaser (private communication).
  • 48
    • 84931526283 scopus 로고    scopus 로고
    • The mechanism could involve the Riemann ζ function, since ζ (4) = Σj=1inf(1/j)4= π4/ 90 = 2(0.5412), and ζ (4) occurs commonly in condensed matter physics. One example is the Van der Waals interaction summed over a sequence of spherical shells with radii rj= jr0: tsumj=1inf[ tint d Ωj(rj)-6] prop ζ (4). Another example is the Debye model for the energy of Boson-like waves at low temperatures: tint0infdE (E)3( eE/kBT -1)-1 = tint0infdE (E)3[ tsumj=1infe-jE/kBT ] = 6 tsumj=1inf(kBT/j)4 = 6 (kBT)4ζ (4).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.