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Exact solution of Kramers' problem for piecewise parabolic potential profiles

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  • Malakhov, A.N.
  • Pankratov, A.L.

Abstract

This paper presents a general procedure for deducing exact time characteristics of Brownian diffusion in the high damping limit in piecewise parabolic pontential profiles.

Suggested Citation

  • Malakhov, A.N. & Pankratov, A.L., 1996. "Exact solution of Kramers' problem for piecewise parabolic potential profiles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(1), pages 109-126.
    • Handle: RePEc:eee:phsmap:v:229:y:1996:i:1:p:109-126
    DOI: 10.1016/0378-4371(95)00395-9
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    References listed on IDEAS

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    1. Edholm, O. & Leimar, O., 1979. "The accuracy of Kramers' theory of chemical kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 313-324.
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    Cited by:

    1. Gustavo Deco & Daniel Martí & Anders Ledberg & Ramon Reig & Maria V Sanchez Vives, 2009. "Effective Reduced Diffusion-Models: A Data Driven Approach to the Analysis of Neuronal Dynamics," PLOS Computational Biology, Public Library of Science, vol. 5(12), pages 1-10, December.

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