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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 (CC BY 3.0).
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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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