Energy gap and thermal properties of selfsimilar structures: An application to epoxy resin

Normal vibrational modes with local selfsimilarity, i.e. fractons, may explain the temperature dependence of the specific heat of epoxy resin and, more generally, other amorphous materials above 1 K. A gap in the phonon-fracton energy spectrum at the cross-over length scale between translational inv...

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Bibliographic Details
Published inPhysics letters. A Vol. 98; no. 7; pp. 357 - 360
Main Authors Tua, P.F., Putterman, S.J., Orbach, R.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.1983
Elsevier Science
Subjects
Applied sciences
Exact sciences and technology
Organic polymers
Physicochemistry of polymers
Properties and characterization
Thermal and thermodynamic properties
Thermal properties
Specific heat
Energy gap
Temperature
Mathematical analysis
Epoxy resin
Thermal conductivity
Influence
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Summary:Normal vibrational modes with local selfsimilarity, i.e. fractons, may explain the temperature dependence of the specific heat of epoxy resin and, more generally, other amorphous materials above 1 K. A gap in the phonon-fracton energy spectrum at the cross-over length scale between translational invariance and selfsimilarity is proposed. From the specific heat for T > 10 K we calculate the fracton spectral dimensionality of epoxy resin. A phonon-fracton interaction may account for the “plateau” in the thermal conductivity.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(83)90236-0