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Interpolation formula for propagators in systems with intermediate degree of transport coherence

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Zeitschrift für Physik B Condensed Matter

Abstract

We present an interpolation formula for the probability propagators of the generalized master equation appropriate for the description of the motion of quasiparticles in systems with an intermediate degree of transport coherence. Although highly simplified in form, the formula is convenient for practical computations on complex systems whose exact dynamics would be essentially impossible to obtain. The formula has features analogous to some in the relaxation time prescription for the calculation of the Boltzmann distribution function. We point out the manner in which the interpolation formula may be used in conjuction with experimental data as well as with model calculations.

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References

  1. Pope, M., Swenberg, C.E.: Electronic processes in organic solids. Oxford: Clarendon 1982

    Google Scholar 

  2. Kenkre, V.M., Reineker, P.: Exciton dynamics in molecular crystals and aggregates. In: Springer Tracts in Modern Physics. Höhler, G. (ed.), Vol. 94. Berlin, Heidelberg, New York: Springer 1982

    Google Scholar 

  3. Energy transfer processes in condensed matter. Di Bartolo, B. (ed.). New York: Plenum Press 1984

    Google Scholar 

  4. Francis, A.H., Kopelman, R.: Excitation Dynamics in Molecular Solids. Laser spectroscopy of solids. In: Topics in Applied Physics. Yen, W.M., Selzer, P.M. (eds.), Vol. 49. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  5. Silbey, R.: Annu. Rev. Phys. Chem.27, 203 (1976)

    Google Scholar 

  6. Kenkre, V.M., Wong, Y.M.: Phys. Rev. B22, 5716 (1980)

    Google Scholar 

  7. Wong, Y.M., Kenkre, V.M.: Z. Phys. B — Condensed Matter46, 185 (1982)

    Google Scholar 

  8. Kenkre, V.M., Phatak, S.M.: Phys. Lett.100A, 101 (1984)

    Google Scholar 

  9. See e.g. Ziman, J.M.: Principles of the theory of solids. Cambridge: University Press 1972

    Google Scholar 

  10. Lakatos-Lindenberg, K., Hemenger, R.P., Pearlstein, R.M.: J. Chem. Phys.56, 4852 (1972)

    Google Scholar 

  11. Bilek, O., Skala, L.: Czech. J. Phys. B28, 1003 (1978)

    Google Scholar 

  12. Skala, L.: Czech. J. Phys. B27, 1152 (1977)

    Google Scholar 

  13. Kenkre, V.M.: Phys. Rev. B18, 4064 (1978)

    Google Scholar 

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Work supported in part by the National Science Foundation under grant nos. DMR-8513058 and DMR-8111434

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Skala, L., Kenkre, V.M. Interpolation formula for propagators in systems with intermediate degree of transport coherence. Z. Physik B - Condensed Matter 63, 259–265 (1986). https://doi.org/10.1007/BF01309246

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  • DOI: https://doi.org/10.1007/BF01309246

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