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arXiv 2103.14145nucl-th
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nuclear fission过程Langevin方法的记忆效应

Memory effects in Langevin approach to the nuclear fission process

F. A. Ivanyuk, S. V. Radionov, C. Ishizuka, S. Chiba

摘要:

为了研究低温下裂变宽度对记忆时间和激发能的依赖关系,我们采用Langevin方法进行了计算.对于这一点,我们考虑简单的一维情况下的势能由两个抛物型潜在的(Kramers潜在的)。对于摩擦和质量参数,我们使用与变形无关的值拟合到先前在微观线性响应理论中获得的结果。我们发现,在小激发能(与裂变势垒高度相当)时,摩擦力和随机力的记忆效应对裂变宽度的影响方向相反。总的效果不是那么大,但仍然相当明显(取决于弛豫时间的值)。与记忆效应相比,在扩散系数中使用有效温度变得更加重要。在很低的激发能下计算出的裂变宽度太大,不切实际。

英文摘要:

We present the schematic calculations within the Langevin approach in order to investigate the dependence of fission width on the memory time and the excitation energy at low temperatures where the quantum fluctuations play an important role. For this we consider the simple one-dimensional case with the potential energy given by two parabolic potentials (Kramers potential). For friction and the mass parameters we use the deformation independent values fitted to the results obtained earlier within the microscopic linear response theory. We have found out that at small excitation energies (comparable with the fission barrier height) the memory effects in the friction and random force acts on the fission width in opposite direction. The total effect is not so large, but still quite noticeable (depending on the value of the relaxation time). The use of effective temperature in the diffusion coefficient turns out to be much more important compared with the memory effects. The calculated fission width at very low excitation energies is unrealistically too big.

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