Comment on “Temperature dependence of nuclear fission time in heavy-ion fusion-fission reactions”

Kulik

et al. 2022

J. Phys.: Conf. Ser.

We present results of the numerical modeling of the relaxation process for the Brownian motion in a bistable potential. Such a process is relevant for the recent nanoscale experiments reported in the literature. The modeling is based on the Langevin equations for the generalized coordinate and its conjugated momentum. First, the calculations are validated for the case of low thermal energy using a comparison with the analytical expressions for the harmonic oscillator. Next, the time evolution of the particle distribution in the bistable potential is analyzed.

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Section: Equilibration Of the Coordinate Probability Density In Both ...mentioning

confidence: 99%

“…These equations are also applied for modeling electrical systems [4]. In our previous works [5][6][7], we concentrated on employing these equations for describing the thermally activated decay process of a metastable state (the so-called Kramers problem, see [8][9][10]).…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of the Brownian motion in a bistable potential at medium friction

Kulik

et al. 2022

J. Phys.: Conf. Ser.

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“…Accuracy of the Kramers formulas for the decay rate derived in [11] was studied in several articles (see, e.g., [15][16][17]). Unfortunately, sometimes the Kramers formulas were misinterpreted (see, for example, [18][19][20] and detailed discussion of this problem in [21,22]). Usually, they consider the Kramers formulas obtained for the parabolic barrier.…”

Section: Introductionmentioning

confidence: 99%

Accuracy of the analytical escape rate for a cusp barrier in the overdamping regime

Захаров

2020

J. Phys.: Conf. Ser.

For the first time, the accuracy of the approximate analytical Kramers formula for the thermal decay rate over a cusp barrier, , is checked numerically for the overdamping regime. The numerical quasistationary rate, , which is believed to be exact within the statistical errors is evaluated by means of computer modeling of the stochastic Langevin-type dynamical equations. The agreement between and significantly depends upon the friction strength and the height of the barrier in comparison to the thermal energy. The difference between and decreases with the dimensionless damping parameter , however, does not become smaller than 10-20%. The unexpected growth of the difference between and with the governing parameter is observed.

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Precision Numerical Modeling of the Decay of a Metastable State at High Temperatures

2019

Braz J Phys