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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Neutron fluctuations in a multiplying medium randomly varying in time
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Neutron fluctuations in a multiplying medium randomly varying in time

机译：时间随机变化的倍增介质中的中子涨落

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摘要

The master equation approach, which has traditionally been used for the calculation of neutron fluctuations in multiplying systems with constant parameters, is extended to a case when the parameters of the system change randomly in time. A forward type master equation is considered for the case of a multiplying system whose properties jump randomly between two discrete states, both with and without a stationary external source. The first two factorial moments are calculated, including the covariance. This model can be considered as the unification of stochastic methods that were used either in a constant multiplying medium via the master equation technique, or in a fluctuating medium via the Langevin technique. The results obtained show a much richer characteristic of the zero power noise than that in constant systems. The results are relevant in medium power subcritical nuclear systems where the zero power noise is still significant, but they also have a bearing on all types of branching processes, such as evolution of biological systems, spreading of epidemics etc, which are set in a time-varying environment.
机译：传统上用于计算具有恒定参数的乘法系统中子波动的主方程方法已扩展到系统参数随时间随机变化的情况。对于一个乘法系统，考虑其属性在两个离散状态之间随机跳变（带或不带固定外部源），均考虑了正向型主方程。计算前两个阶乘矩，包括协方差。该模型可以被认为是随机方法的统一，这些方法既可以通过主方程技术在恒定的乘积介质中使用，也可以通过兰格文技术在波动的介质中使用。所获得的结果显示出零功率噪声的特性要比恒定系统的特性丰富得多。该结果与零功率噪声仍然很大的中功率亚临界核系统有关，但是它们也影响所有类型的分支过程，例如生物系统的演化，流行病的传播等，这些时间是在一定时间内确定的。变化的环境。

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