中子倍增介质中核燃烧类孤子波的“量子”混沌与稳定条件
"Quantum" Chaos and Stability Condition of Soliton-like Waves of Nuclear Burning in Neutron-Multiplicating Media
摘要：
本文证明了中子倍增介质中核燃烧类孤子波的稳定性条件一般由两个条件决定。第一个条件（必要条件）是由平衡浓度和临界浓度之间的关系决定的，这是玻尔-索末菲量子化条件的结果。第二个条件（充分条件）是由所谓的Wigner量子统计，或者更准确地说，由高斯单形系综关于描述核燃料活性组分燃烧波阵面宽度平方的参数的统计确定的。
英文摘要：
We show that the stability condition for the soliton-like wave of nuclear burning in neutron-multiplicating medium is determined in general by two conditions. The first condition (necessary) is determined by relationship between the equilibrium concentration and critical concentration of active (fissile) isotope, that is a consequence of the Bohr-Sommerfeld quantization condition. The second condition (sufficient) is set by the so-called Wigner quantum statistics, or more accurately, by a ststistics of the Gaussian simplectic ensembles with respect to the parameter that describes the squared width of burning wave front of nuclear fuel active component.
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