Log in

Optimal barrier subdivision for Kramers’ escape rate

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We examine the effect of subdividing the potential barrier along the reaction coordinate on Kramers’ escape rate for a model potential. Using the known supersymmetric potential approach, we show the existence of an optimal number of subdivisions that maximizes the rate.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H A Kramers,Physica 7, 284 (1940)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. P Hanggi, P Talkner and M Borkovee,Rev. Mod. Phys. 62, 251 (1990)

    Article  ADS  Google Scholar 

  3. G Fleming and P Hanggi (eds),Activated barrier crossing: Applications in physics, chemistry and biology (World Scientific, Singapore, 1993)

    Google Scholar 

  4. V I Mel’nikov,Phys. Rep. 209, 1 (1991)

    Article  ADS  Google Scholar 

  5. See example, Lubert Stryer,Biochemistry. 2nd edn. (W.H. Freeman and Co., New York, 1980) Ch. 6

    Google Scholar 

  6. M Bernstein and L S Brown,Phys. Rev. Lett. 52, 1933 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  7. H R Jauslin,J. Phys. A21, 2337 (1988)

    ADS  MathSciNet  Google Scholar 

  8. K Schonhammer,Z. Phys. B78, 63 (1990)

    Article  ADS  Google Scholar 

  9. I Gefen and Y Goldhirsch,Phys. Rev. A35, 1317 (1987)

    ADS  MathSciNet  Google Scholar 

  10. R Landauer,J. Stat. Phys. 53, 233 (1988)

    Article  ADS  Google Scholar 

  11. N G van Kampen,IBM J. Res. Dev. 32, 107 (1988)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bekele, M., Ananthakrishna, G. & Kumar, N. Optimal barrier subdivision for Kramers’ escape rate. Pramana - J. Phys. 46, 403–410 (1996). https://doi.org/10.1007/BF02852266

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02852266

Keywords

PACS Nos

Navigation