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Energies 2011, 4(9), 1337-1361; doi:10.3390/en4091337
Article

Traveling Wave Reactor and Condition of Existence of Nuclear Burning Soliton-Like Wave in Neutron-Multiplying Media

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1 Odessa National Polytechnic University, Shevchenko Av. 1, Odessa 65044, Ukraine 2 Bielefeld University, 25 University Str., Bielefeld 33615, Germany 3 State Ecological Academy for Postgraduate Education and Management, Uritskogo Str. 35, Kyiv 03035, Ukraine
* Author to whom correspondence should be addressed.
Received: 16 June 2011 / Revised: 1 August 2011 / Accepted: 2 August 2011 / Published: 9 September 2011
(This article belongs to the Special Issue Advances in Nuclear Energy)
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Abstract

Physical fundamentals of traveling wave reactor are considered. We show that the condition of existence of nuclear burning soliton-like wave in a neutron-multiplying 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 (fissionable) 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 statistics of the Gaussian simplectic ensembles with respect to the parameter that describes the squared width of burning wave front of nuclear fuel active component.
Keywords: traveling wave reactor; nuclear burning wave; nuclear fuel; neutron concentration traveling wave reactor; nuclear burning wave; nuclear fuel; neutron concentration
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Rusov, V.D.; Linnik, E.P.; Tarasov, V.A.; Zelentsova, T.N.; Sharph, I.V.; Vaschenko, V.N.; Kosenko, S.I.; Beglaryan, M.E.; Chernezhenko, S.A.; Molchinikolov, P.A.; Saulenko, S.I.; Byegunova, O.A. Traveling Wave Reactor and Condition of Existence of Nuclear Burning Soliton-Like Wave in Neutron-Multiplying Media. Energies 2011, 4, 1337-1361.

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