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

Vitaliy D Rusov,Vladimir N Vaschenko,Sergey I Kosenko,Igor V Sharph,Margarita E Beglaryan,Olga A Byegunova,Tatiana N Zelentsova,Victor A Tarasov,Sergey I Saulenko,Sergey A Chernezhenko,Elena P Linnik,Pavel A Molchinikolov

doi:10.3390/en4091337

Vitaliy D Rusov, Vladimir N Vaschenko + Show 10 more

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Journal: Energies	Publication Date: Sep 9, 2011
Citations: 30	License type: CC BY 3.0

Affiliation: Odessa National Polytechnic University

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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.

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In spite of obvious efficiency of the nuclear power engineering of new generation, the main difficulties of its acceptance are predetermined by non-trivial properties which a future ideal nuclear reactor must possess
Feoktistov have shown for the first time that the soliton-like propagation of neutron-fission wave of nuclear burning is possible in 238 U medium only at definite ratio between the equilibrium and critical plutonium concentrations, which is imposed by the Bohr–Sommerfeld quantization condition
Change in a random manner?” It is obvious that in this case formulation of the problem (with consideration of Equations (34) and (68)) comes to finding the probability density distribution function p(a∗ ) of the random value of effective thickness of a nuclear burning concentration wave. This function, in its turn, is iss predetermined by a “random” nature of the equilibrium ñf iss and critical nfcrit concentration of nuclear fuel active component, and thereby sets a random nature of wave velocity (see Equation (34)): π a∗ =

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Introduction

In spite of obvious efficiency of the nuclear power engineering of new generation, the main difficulties of its acceptance are predetermined by non-trivial properties which a future ideal nuclear reactor must possess. Feoktistov have shown for the first time that the soliton-like propagation of neutron-fission wave of nuclear burning is possible in 238 U medium only at definite ratio between the equilibrium and critical plutonium concentrations (ñP u > ncrit ), which is imposed by the Bohr–Sommerfeld quantization condition.

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