H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems.

@article{Hilfer2002HfunctionRF,
  title={H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems.},
  author={R. Hilfer},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={65 6 Pt 1},
  pages={
          061510
        }
}
  • R. Hilfer
  • Published 2002
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • Analytical expressions in the time and frequency domains are derived for non-Debye relaxation processes. The complex frequency-dependent susceptibility function for the stretched exponential relaxation function is given for general values of the stretching exponent in terms of H-functions. The relaxation functions corresponding to the complex frequency-dependent Cole-Cole, Cole-Davidson, and Havriliak-Negami susceptibilities are given in the time domain in terms of H-functions. It is found that… CONTINUE READING

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