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arXiv · 0906.3620

"Quantum" Chaos and Stability Condition of Soliton-like Waves of Nuclear Burning in Neutron-Multiplicating Media

V. D. Rusov·E. P. Linnik·V. A. Tarasov·T. N. Zelentsova·I. V. Sharf·S. A. Chernezhenko·O. A. Byegunova
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Abstract

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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V. D. Rusov, E. P. Linnik, V. A. Tarasov, T. N. Zelentsova, I. V. Sharf, S. A. Chernezhenko, O. A. Byegunova. 2009-06-19. "Quantum" Chaos and Stability Condition of Soliton-like Waves of Nuclear Burning in Neutron-Multiplicating Media. https://arxiv.org/abs/0906.3620

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