AI 中文总结
研究球形原子核模型费米系统在动力学理论扩散近似下的耗散性质，通过非线性扩散方程解析解表明分布函数趋近平衡费米分布，得出不同弛豫时间，解释了弛豫时间差异。
AI 中文摘要
本文在动力学理论的扩散近似下，对球形原子核模型的费米系统耗散性质进行了研究。利用能量空间中具有恒定动力学系数的非线性扩散方程的解析解，表明分布函数渐近趋近平衡费米分布。发现有限时间内偏离平衡以有效弛豫时间\(\tau_\mathrm{eff}\approx 1.0\times10^{-23}\) s衰减，渐近区域以弛豫时间\(\tau_\mathrm{eq}\approx 3.2\times10^{-23}\) s的指数衰减为特征。这些结果解释了从弛豫过程积分特征和渐近长时间演化中提取的弛豫时间差异。
英文摘要
The dissipative properties of a Fermi system are studied within the diffusion approximation of kinetic theory for a model of a spherical atomic nucleus. An analytical solution of the nonlinear diffusion equation in energy space with constant kinetic coefficients is used to show that the distribution function asymptotically approaches the equilibrium Fermi distribution. It is found that the deviation from equilibrium at finite times decays with an effective relaxation time of $τ_\mathrm{eff}\approx 1.0\times10^{-23}$ s, whereas the asymptotic regime is characterized by an exponential decay with a relaxation time of $τ_\text{eq}\approx 3\,τ_\text{eff}$. These results explain the difference between the relaxation times extracted from integral characteristics of the relaxation process and from the asymptotic long-time evolution.
Comments7 pages, 4 figures
