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- W4386908130 abstract "We have investigated the peculiarities of nuclear descent from a parabolic fission barrier within a generalized Langevin equation with power--law $f(t-t')=(|t-t'|/tau)^{-alpha}$ memory function. We have observed much stronger slowing down of the nuclear descent in the presence of long--range memory effects, caused by the power--law memory function at $0<alpha<1$, than in the presence of short--range memory effects, generated by exponential $f(t-t')={rm exp}(-|t-t'|/tau)$ memory function. At a specific value of the exponent $alpha=1/2$ of the power--law memory function, it turned out possible to find analytically the trajectory of the descent and demonstrate that the long--range memory effects give rise to complex time oscillations of nuclear shape, becoming more frequent and damped with the correlation time $tau$. We have found fairly long ($>10^{-20}~{rm s}$) times of the descent of $^{rm 236}{rm U}$ at the values of the correlation time $tau sim [10^{-24}div 10^{-23}]~{rm s}$." @default.
- W4386908130 created "2023-09-21" @default.
- W4386908130 creator A5062116268 @default.
- W4386908130 date "2023-09-19" @default.
- W4386908130 modified "2023-09-28" @default.
- W4386908130 title "Nuclear descent from the fission barrier in the presence of long--range memory effects" @default.
- W4386908130 doi "https://doi.org/10.48550/arxiv.2309.10696" @default.
- W4386908130 hasPublicationYear "2023" @default.
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