메뉴 건너뛰기




Volumn 16, Issue 1, 2013, Pages 158-170

Microscopic model of dielectric α-relaxation in disordered media

Author keywords

Cole Cole expression; Cole Davidson expression; dielectric permittivity; excess wing; fractal kinetics; fractals

Indexed keywords


EID: 84871791675     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-013-0011-1     Document Type: Article
Times cited : (18)

References (26)
  • 3
    • 33748565282 scopus 로고
    • Dispersion and absorption in dielectrics, I. Alternating current characteristics
    • 10.1063/1.1750906
    • K.S. Cole, R.H. Cole, Dispersion and absorption in dielectrics, I. Alternating current characteristics. J. Chem. Phys. 9 (1941), 341-351.
    • (1941) J. Chem. Phys , vol.9 , pp. 341-351
    • Cole, K.S.1    Cole, R.H.2
  • 4
    • 0003151829 scopus 로고
    • Dielectric polarization and relaxation
    • R.H. Cole, Dielectric polarization and relaxation. In: Molecular Liquids. NATO ASI Ser. C 135 (1984), 59-110.
    • (1984) Molecular Liquids. NATO ASI Ser. C , vol.135 , pp. 59-110
    • Cole, R.H.1
  • 5
    • 0006042593 scopus 로고
    • Dielectric relaxation in glycerine
    • 10.1063/1.1747496
    • D.W. Davidson, R.H. Cole, Dielectric relaxation in glycerine. J. Chem. Phys. 18 (1950), 1414-1423.
    • (1950) J. Chem. Phys , vol.18 , pp. 1414-1423
    • Davidson, D.W.1    Cole, R.H.2
  • 6
    • 0345263918 scopus 로고
    • Dielectric relaxation in glycerol, propylene. Glycol, and n-propanol
    • 10.1063/1.1748105
    • D.W. Davidson, R.H. Cole, Dielectric relaxation in glycerol, propylene. Glycol, and n-propanol. J. Chem. Phys. 19 (1951), 1484-1490.
    • (1951) J. Chem. Phys , vol.19 , pp. 1484-1490
    • Davidson, D.W.1    Cole, R.H.2
  • 8
    • 0001785405 scopus 로고
    • Analysis of α-dispersions in some polymer systems
    • S. Havriliak, S. Negami, Analysis of α-dispersions in some polymer systems. J. Polymer Sci.-Pt C. 14 (1966), 99-117.
    • (1966) J. Polymer Sci.-Pt C. , vol.14 , pp. 99-117
    • Havriliak, S.1    Negami, S.2
  • 9
    • 0003066474 scopus 로고
    • An extension of the dynamical foundation for the statistical equilibrium concept
    • 1364210 10.1016/0378-4371(95)00240-8
    • R. Hilfer, An extension of the dynamical foundation for the statistical equilibrium concept. Physica A 221 (1995), 89-96.
    • (1995) Physica A , vol.221 , pp. 89-96
    • Hilfer, R.1
  • 10
    • 41349085322 scopus 로고    scopus 로고
    • H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems
    • 10.1103/PhysRevE.65.061510
    • R. Hilfer, H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems. Phys. Rev. E 65 (2002), 061510.
    • (2002) Phys. Rev. e , vol.65 , pp. 061510
    • Hilfer, R.1
  • 11
    • 0036828760 scopus 로고    scopus 로고
    • Experimental evidence for fractional time evolution in glass forming materials
    • R. Hilfer, Experimental evidence for fractional time evolution in glass forming materials. J. Chem.Phys. 284 (2002), 399-408.
    • (2002) J. Chem.Phys , vol.284 , pp. 399-408
    • Hilfer, R.1
  • 12
    • 0037061052 scopus 로고    scopus 로고
    • Fitting the excess wing in the dielectric α-relaxation of propylene carbonate
    • 10.1088/0953-8984/14/9/318
    • R. Hilfer, Fitting the excess wing in the dielectric α-relaxation of propylene carbonate. J. Phys.: Condens. Matter. 14 (2002), 2297-2301.
    • (2002) J. Phys.: Condens. Matter , vol.14 , pp. 2297-2301
    • Hilfer, R.1
  • 13
    • 21344434064 scopus 로고
    • Foundations of fractional dynamics
    • 1329029 0870.58041 10.1142/S0218348X95000485
    • R. Hilfer, Foundations of fractional dynamics. Fractals 3 (1995), 549-556.
    • (1995) Fractals , vol.3 , pp. 549-556
    • Hilfer, R.1
  • 15
    • 84867328841 scopus 로고    scopus 로고
    • Log-periodic corrections to the Cole-Cole expression in dielectric relaxation
    • 10.1016/j.physa.2012.08.011
    • A.A. Khamzin, R.R. Nigmatullin, I.I. Popov, Log-periodic corrections to the Cole-Cole expression in dielectric relaxation. Physica A. 392 (2013), 136-148.
    • (2013) Physica A , vol.392 , pp. 136-148
    • Khamzin, A.A.1    Nigmatullin, R.R.2    Popov, I.I.3
  • 17
    • 0000447507 scopus 로고
    • A continued-fraction representation of the time correlation function
    • 10.1143/PTP.34.399
    • H. Mori, A continued-fraction representation of the time correlation function. Prog. Theor. Phys. 34 (1965), 399-416.
    • (1965) Prog. Theor. Phys , vol.34 , pp. 399-416
    • Mori, H.1
  • 18
    • 33644868129 scopus 로고    scopus 로고
    • 'Fractional' kinetic equations and 'universal' decoupling of a memory function in mesoscale region
    • 10.1016/j.physa.2005.08.033
    • R.R. Nigmatullin, 'Fractional' kinetic equations and 'universal' decoupling of a memory function in mesoscale region. Physica A 363 (2006), 282-298.
    • (2006) Physica A , vol.363 , pp. 282-298
    • Nigmatullin, R.R.1
  • 19
    • 15344350826 scopus 로고    scopus 로고
    • Theory of dielectric relaxation in non-crystalline solids: From a set of micromotions to the averaged collective motion in the mesoscale region
    • 10.1016/j.physb.2005.01.173
    • R.R. Nigmatullin, Theory of dielectric relaxation in non-crystalline solids: From a set of micromotions to the averaged collective motion in the mesoscale region. Physica B 358 (2005), 201-215.
    • (2005) Physica B , vol.358 , pp. 201-215
    • Nigmatullin, R.R.1
  • 20
    • 84869169381 scopus 로고    scopus 로고
    • The derivation of the generalized functional equations describing self-similar processes
    • 2974329
    • R.R. Nigmatullin, D. Baleanu, The derivation of the generalized functional equations describing self-similar processes. Fract. Calc. Appl. Anal. 15, No 4 (2012), 718-740; DOI:10.2478/s13540-012-0049-5; http://link.springer. com/article/10.2478/s13540-012-0049-5.
    • (2012) Fract. Calc. Appl. Anal , vol.15 , Issue.4 , pp. 718-740
    • Nigmatullin, R.R.1    Baleanu, D.2
  • 22
    • 0033717918 scopus 로고    scopus 로고
    • Excess wing in the dielectric loss of glass formers: A Johari-Goldstein β Relaxation?
    • 10.1103/PhysRevLett.84.5560
    • U. Schneider, R. Brand, P. Lunkenheimer and A. Loidl, Excess wing in the dielectric loss of glass formers: A Johari-Goldstein β Relaxation? Phys. Rev. Lett., 84 (2000), 5560-5563.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 5560-5563
    • Schneider, U.1    Brand, R.2    Lunkenheimer, P.3    Loidl, A.4
  • 23
    • 18344376003 scopus 로고    scopus 로고
    • Broadband dielectric spectroscopy on glass-forming propylene carbonate
    • 10.1103/PhysRevE.59.6924
    • U. Schneider, P. Lunkenheimer, R. Brand, A. Loidl, Broadband dielectric spectroscopy on glass-forming propylene carbonate. Phys. Rev. E. 59 (1999), 6924-6936.
    • (1999) Phys. Rev. e , vol.59 , pp. 6924-6936
    • Schneider, U.1    Lunkenheimer, P.2    Brand, R.3    Loidl, A.4
  • 24
    • 0001946873 scopus 로고
    • Use of the dipole correlation function in dielectric relaxation
    • 10.1021/cr60275a003
    • G. Williams, Use of the dipole correlation function in dielectric relaxation. J. Chem. Rev. 72 (1972), 55-69.
    • (1972) J. Chem. Rev , vol.72 , pp. 55-69
    • Williams, G.1
  • 25
    • 0014699523 scopus 로고
    • Non-symmetrical dielectric behaviour arising from a simple empirical decay function
    • 10.1039/tf9706600080
    • G. Williams, D. C. Watts, Non-symmetrical dielectric behaviour arising from a simple empirical decay function. Trans. Faraday Soc. 66 (1970), 80-85.
    • (1970) Trans. Faraday Soc , vol.66 , pp. 80-85
    • Williams, G.1    Watts, D.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.