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考虑处于量子非欧姆阻尼环境下的重核熔合及热核裂变系统的动力学,给出了数值模拟相应c数量子广义朗之万方程的方法。其中提出的产生任意关联量子色噪声的数值方法,适用于任意非马尔科夫过程噪声的产生。利用此方法计算了重核熔合概率,结果表明量子涨落对重核熔合具有“低抬高压”的效应:当粒子的初始动能小于(大于)临界初始动能时,量子涨落会增大(减小)粒子鞍点通过概率。非欧姆阻尼环境中粒子稳定通过概率随δ值的变化是非单调的,且当粒子初始动能小于(大于)临界初始动能,量子涨落会使稳定通过概率随δ值变化曲线的极大值位置向右(向左)漂移。此外,在热核裂变系统中,超欧姆阻尼环境会增大裂变速率,而量子涨落不仅显著增大裂变速率,还使裂变速率随δ值变化曲线的极大值位置发生漂移。
Considering the dynamics of the heavy nuclear fission and thermonuclear fission systems under quantum non-ohmic damping, a method of numerical simulation of the corresponding c-quantum generalized Longwand equation is given. The proposed numerical method for generating any associated quantum color noise is suitable for the generation of any non-Markov process noise. The fusion probability of heavy nuclei was calculated by this method. The results show that the quantum fluctuations have the effect of “low elevated pressure” on the fusion of heavy nuclei: when the initial kinetic energy of particles is less than (greater than) the critical initial kinetic energy, the quantum fluctuations will increase (Decrease) particle saddle point probability of passage. Non-ohmic damping particles in the environment through the probability of stability with the change of δ is non-monotonic, and when the particle initial kinetic energy is less than (greater than) the critical initial kinetic energy, the quantum fluctuations will stabilize the probability of δ Right (left) drift. In addition, in the thermonuclear fission system, the hyper-ohmic damping environment increases the fission rate, which not only significantly increases the fission rate but also shifts the fission rate with the maximum value of the δ value curve.