Applying Kramers formula for the nuclear fission problem: How accurate is it?

I. I. Gontchar, N. E. Aktaev, A. L. Litnevsky, E. G. Pavlova

    Research output: Contribution to journalArticlepeer-review


    We compare results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation these are two: the integral rate RI and its approximation RO . As the ratio of the fission barrier height Bf to the temperature T, ε, reaches 4, any analytical rate is expected to agree with the dynamical quasistationary value RD within 2%. We perform modeling using several potentials and find that the difference between the RO and the RD sometimes exceeds 20% even for ε > 4. Such discrepancy is not acceptable nowadays because it is comparable to the quantum, non-markovian and multidimensional effects. The features of the potentials which cause this disagreement are identified and studied. It is demonstrated that this is the RI, not the RO, which meets the expectation above irrespectively of the potential profile.

    Original languageEnglish
    Article number082023
    JournalJournal of Physics: Conference Series
    Issue numberSECTION 8
    Publication statusPublished - 2011

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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