Skip to main content
SpringerLink
Log in

Supersymmetry and Kramers' reaction rate

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

In Brinckman's generalization of Kramers' expression for the reaction rate to overcome a high barrier in the large friction limit assumptions about local equilibrium in the wells and the current density at the top of the barrier were made which have been questioned by various authors. It is shown that supersymmetric quantum mechanics can be used to justify Brinckman's result. Exact results for a simple model potential are compared with the asymptotic rate formula.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Kramers, H.A.: Physica7, 284 (1940)

    Google Scholar 

  2. Brinckman, H.C.: Physica22, 149 (1956)

    Google Scholar 

  3. For a review see e.g. Weiß, G.H.: J Stat. Phys.42, 3 (1986)

    Google Scholar 

  4. Brenig, W., Müller, H., Sedlmaier: Phys. Lett.54A, 109 (1975)

    Google Scholar 

  5. Brenig, W., Schönhammer, K.: Z. Phys. B—Condensed Matter and Quanta24, 91 (1976)

    Google Scholar 

  6. Kampen, N.G. von: J. Stat. Phys.17, 71 (1977)

    Google Scholar 

  7. Larson, R.S., Kostin, M.D.: J. Chem. Phys.69, 4821 (1978)

    Google Scholar 

  8. Edholm, O., Leimar, O.: Physica98A, 313 (1979)

    Google Scholar 

  9. Bernstein, M., Brown, L.: Phys. Rev. Lett.52, 1933 (1984)

    Google Scholar 

  10. Keung, W.Y., Kovacs, E., Sukhatme, U.: Phys. Rev. Lett.60, 41 (1988)

    Google Scholar 

  11. Witten, E.: Nucl. Phys.B185, 513 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Göttingen, Bunsenstrasse 9, D-3400, Göttingen, Germany

    K. Schönhammer

Authors
  1. K. Schönhammer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Professor W. Brenig on the occasion of his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schönhammer, K. Supersymmetry and Kramers' reaction rate. Z. Physik B - Condensed Matter 78, 63–67 (1990). https://doi.org/10.1007/BF01317358

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01317358

Keywords

Search

Navigation