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Linear Response Theory for the Mechanical Energy Relaxation of Solid High Polymers at Low Temperature
Linear Response Theory for the Mechanical Energy Relaxation of Solid High Polymers at Low Temperature
Journal of the Korean Chemical Society. 1976. Oct, 20(5): 340-350
  • Published : October 30, 1976
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Eu, Byung Chan

Abstract
Linear response theory is proposed to be applied for theoretical description of the phenomena in mechanical spectroscopy of solid high polymers below glass transition temperatures. The energy dissipation by sample is given in terms of certain time correlation functions. It is shown that the result leads to the result by Kirkwood on the energy loss and relaxation of cross-linked polymers, if the Liouville operator is replaced by the diffusion equation operator of Kirkwood. An approximation method of calculating the correlation functions is considered in order to show a way to calculate relaxation times. Using the approximation method, we consider a double-well potential model for energy relaxation, in order to see a connection between the present theory and a model theory used in mechanical energy relaxation phenomena of solid polymers containing pendant cyclohexyl groups at low temperature.