Abstract
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 language | English |
|---|---|
| Article number | 082023 |
| Journal | Journal of Physics: Conference Series |
| Volume | 312 |
| Issue number | SECTION 8 |
| DOIs | |
| Publication status | Published - 2011 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Applying Kramers formula for the nuclear fission problem : How accurate is it? / Gontchar, I. I.; Aktaev, N. E.; Litnevsky, A. L.; Pavlova, E. G.
In: Journal of Physics: Conference Series, Vol. 312, No. SECTION 8, 082023, 2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Applying Kramers formula for the nuclear fission problem
T2 - How accurate is it?
AU - Gontchar, I. I.
AU - Aktaev, N. E.
AU - Litnevsky, A. L.
AU - Pavlova, E. G.
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
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U2 - 10.1088/1742-6596/312/8/082023
DO - 10.1088/1742-6596/312/8/082023
M3 - Article
VL - 312
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - SECTION 8
M1 - 082023
ER -