Skip to main content

Dispersive and non-dispersive transport processes in polymers

  • Conference paper
  • First Online:
Relaxation in Polymers

Part of the book series: Progress in Colloid & Polymer Science ((PROGCOLLOID,volume 80))

Abstract

Based on Monte Carlo simulation techniques and analytic theory the influence of positional and energetic disorder as well as of multiple trapping on charge carrier motion in a random solid is discussed. While under realistic conditions positional disorder will not give rise to dispersive behavior on the time-scale of a carrier transit, both E-hopping and multiple trapping do so because of energetic relaxation of the carriers within the density of states (DOS). For a Gaussian DOS of width σ dynamic equilibrium can be attained under realistic experimental conditionsd resulting in a non-Arrhenius-type temperature dependence of the mobility. Representative recent literature results on dispersive and non-dispersive transport in polymeric systems are discussed in relation to the various disorder cases. Finally, the temperature dependence of the visocity of supercooled melts is shown to be tractable in terms of the concept developed for the diffusion and relaxation of excitations in a Gaussian DOS.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Stolka M, Pai DM (1978) Adv Polym Sci 29:1

    Article  CAS  Google Scholar 

  2. Mort J, Pfister G (1982) In: Mort J, Pfister G (eds) Electronic Properties of Polymers. Wiley, New York

    Google Scholar 

  3. Scher H, Montroll EW (1975) Phys Rev B 12:2455

    Article  CAS  Google Scholar 

  4. Bässler H (1981) phys stat sol (b) 107:9

    Article  Google Scholar 

  5. Eiermann R, Parkinson GM, Bässler H, Thomas JM (1983) J Phys Chem 87:544

    Article  CAS  Google Scholar 

  6. Mott NF, Davies EA (1971) Electronic Processes in Non-Crystalline Materials. Clarendon Press, Oxford

    Google Scholar 

  7. Jankowiak R, Rockwitz KD, Bässler H (1983) J Phys Chem 87:552

    Article  CAS  Google Scholar 

  8. Elschner A, Bässler H (1987) Chem Phys 112:285

    Article  CAS  Google Scholar 

  9. Ries B, Bässler H (1987) Phys Rev B 35:2295

    Article  Google Scholar 

  10. Schönherr G, Bässler H, Silver M (1981) Phil Mag B 44:47

    Article  Google Scholar 

  11. Movaghar B (1980) J Phys C 13:4915

    Article  CAS  Google Scholar 

  12. Movaghar B, Schirmacher W (1981) J Phys C 14:589

    Article  Google Scholar 

  13. Grünewald M, Pohlmann B, Movaghar B, Würtz D (1984) Phil Mag B (1984) 49:341

    Google Scholar 

  14. Movaghar B, Grünewald M, Pohlmann B, Würtz D, Schirmacher W (1987) J Stat Phys 30:315

    Article  Google Scholar 

  15. Marshall JM (1978) Phil Mag B 38:335; (1981) Phil Mag B 43:401; (1983) Phil Mag B 47:329

    Article  CAS  Google Scholar 

  16. Blumen A, Klafter J, White BS, Zumofen G (1984) Phys Rev Lett 53:1301

    Article  Google Scholar 

  17. Movaghar B, Grünewald M, Ries B, Bässler H, Würtz D (1986) Phys Rev B 33:5532

    Article  Google Scholar 

  18. Tiedje T, Rose A (1980) Solid State Comm 37:49

    Article  Google Scholar 

  19. Pfister G, Griffith CH (1978) Phys Rev Lett 40:659

    Article  CAS  Google Scholar 

  20. Richert R, Bässler H (1986) J Chem Phys 84:3567

    Article  CAS  Google Scholar 

  21. Lange J, Ries B, Bässler H (1988) Chem Phys 128:47

    Article  CAS  Google Scholar 

  22. Richert R, Bässler H, Ries B, Grünewald M, Movaghar B (1989) Phil Mag Lett 59:95

    Article  CAS  Google Scholar 

  23. Young AP (1983) Phys Rev Lett 50:917

    Article  CAS  Google Scholar 

  24. Larsen U (1985) Phys Rev B 32:1772

    Article  CAS  Google Scholar 

  25. Bässler H, Schönherr G, Abkowitz M, Pai DM (1982) Phys Rev B 26:3105

    Article  Google Scholar 

  26. Silver M, Schönherr G, Bässler H (1982) Phys Rev Lett 48:352

    Article  Google Scholar 

  27. Silver M, Cohen L (1977) Phys Rev B 15:3276

    Article  CAS  Google Scholar 

  28. Noolandi J (1977) Phys Rev B 16:4466

    Article  CAS  Google Scholar 

  29. Schmidlin FW (1977) Phys Rev B 16:2362

    Article  CAS  Google Scholar 

  30. Arkhipov VI, Iovu MS, Rudenko AI, Shuton SD (1979) phys stat sol (a) 54:67

    Article  CAS  Google Scholar 

  31. Orenstein J, Kastner M (1981) Phys Rev Lett 46:1421

    Article  CAS  Google Scholar 

  32. Monroe D (1985) Phys Rev Lett 54:146

    Article  CAS  Google Scholar 

  33. Seynhaeve G, Adriaenssens GJ, Michiel H, Overhoff H (1988) Phil Mag B 58:421

    Article  CAS  Google Scholar 

  34. Schnörer H, Domes H, Blumen A, Haarer D (1988) Phil Mag Lett 58:101

    Article  Google Scholar 

  35. Tahmasbi AR, Hirsch J (1980) Solid State Comm 34:75

    Article  CAS  Google Scholar 

  36. M7:uller-Horsche E, Haarer D, Scher H (1987) Phys Rev B (1987) 35:1273

    Article  Google Scholar 

  37. Bos CF, Burland DM (1987) Phys Rev Lett 58:152

    Article  CAS  Google Scholar 

  38. Stolzenburg F, Ries B, Bässler H (1987) Ber Bunsenges Phys Chem (1987) 91:853

    CAS  Google Scholar 

  39. Nespurek S, Cimarovà V (1988) 6th International Seminar on Polymer Physics: Relaxation in Polymers, Gomadingen

    Google Scholar 

  40. Schein LB, Mack JX (1988) Chem Phys Lett 149:109

    Article  CAS  Google Scholar 

  41. Stolka M, Yanus JF, Pai DM (1984) J Phys Chem 88:4707

    Article  CAS  Google Scholar 

  42. Schein LB, Rosenberg A, Rice SL (1986) J Appl Phys 40:4287

    Article  Google Scholar 

  43. Abkowitz MA, Pai DM (1986) Phil Mag B 53:193

    Article  CAS  Google Scholar 

  44. Yuh H-J, Stolka M (1988) Phil Mag B 58:539

    Article  CAS  Google Scholar 

  45. Abkowitz MA, Knier FE, Yuh H-J, Weagley RJ, Stolka M (1987) Solid State Comm 62:547

    Article  CAS  Google Scholar 

  46. Abkowitz MA, Stolka M, Weagley RJ, McGrane K, Knier FE, In: Advances in Silicon Based Polymer Science, ACS Book, to be published

    Google Scholar 

  47. Santos Lemus SJ, hirsch J (1986) Phil Mag B 53:25

    Article  CAS  Google Scholar 

  48. Abkowitz MA, Stolka M, Phil Mag Lett, in press

    Google Scholar 

  49. Richert R, Pautmeier L, Bässler H (1989) Phys Rev Letts, in press

    Google Scholar 

  50. Goldstein M (1969) J Chem Phys 51:3728

    Article  CAS  Google Scholar 

  51. Bässler H (1987) Phys Rev Lett 58:767

    Article  Google Scholar 

  52. Fulcher GS (1925) J Am Ceram Soc 8:339

    Article  CAS  Google Scholar 

  53. Bengtzelius U, Götze W, Sjölander A (1984) J Phys C 17:5915

    Article  CAS  Google Scholar 

  54. Richert R, Bässler H, submitted for publication

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. Pietralla W. Pechhold

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Dr. Dietrich Steinkopff Verlag GmbH & Co. KG

About this paper

Cite this paper

Bässler, H. (1989). Dispersive and non-dispersive transport processes in polymers. In: Pietralla, M., Pechhold, W. (eds) Relaxation in Polymers. Progress in Colloid & Polymer Science, vol 80. Steinkopff. https://doi.org/10.1007/BFb0115411

Download citation

  • DOI: https://doi.org/10.1007/BFb0115411

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Steinkopff

  • Print ISBN: 978-3-7985-0832-3

  • Online ISBN: 978-3-7985-1689-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics