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Escape over a fluctuating barrier: The white noise limit

Publication ,  Journal Article
Stein, DL; Doering, CR; Plamer, RG; Van Hemmen, JL; McLaughlin, RM
Published in: Journal of Physics A: General Physics
December 1, 1990

The authors examine the problem of diffusion over a fluctuating barrier in the limit where the barrier fluctuations are extremely fast compared with all other timescales in the problem. In the white noise limit, the decay of probability from the metastable state is exponential with a characteristic timescale exhibiting Arrhenius behaviour. For small but finite correlation times for the fluctuating part of the potential, the effective barrier increases with the correlation time. Implications for liquids above the glass transition are discussed.

Duke Scholars

Published In

Journal of Physics A: General Physics

DOI

ISSN

0305-4470

Publication Date

December 1, 1990

Volume

23

Issue

5

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Stein, D. L., Doering, C. R., Plamer, R. G., Van Hemmen, J. L., & McLaughlin, R. M. (1990). Escape over a fluctuating barrier: The white noise limit. Journal of Physics A: General Physics, 23(5). https://doi.org/10.1088/0305-4470/23/5/004
Stein, D. L., C. R. Doering, R. G. Plamer, J. L. Van Hemmen, and R. M. McLaughlin. “Escape over a fluctuating barrier: The white noise limit.” Journal of Physics A: General Physics 23, no. 5 (December 1, 1990). https://doi.org/10.1088/0305-4470/23/5/004.
Stein DL, Doering CR, Plamer RG, Van Hemmen JL, McLaughlin RM. Escape over a fluctuating barrier: The white noise limit. Journal of Physics A: General Physics. 1990 Dec 1;23(5).
Stein, D. L., et al. “Escape over a fluctuating barrier: The white noise limit.” Journal of Physics A: General Physics, vol. 23, no. 5, Dec. 1990. Scopus, doi:10.1088/0305-4470/23/5/004.
Stein DL, Doering CR, Plamer RG, Van Hemmen JL, McLaughlin RM. Escape over a fluctuating barrier: The white noise limit. Journal of Physics A: General Physics. 1990 Dec 1;23(5).

Published In

Journal of Physics A: General Physics

DOI

ISSN

0305-4470

Publication Date

December 1, 1990

Volume

23

Issue

5

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences