Newton's second law analogy for the traveling wave of nuclear burning

We consider a model of neutron-nuclear wave burning. The traveling wave of nuclear burning of the medium is initiated by an external neutron source and is the basis for the new generation reactors, the so-called 'traveling-wave reactors'. We develop a model of nuclear traveling wave burning, for which it is possible to draw a Newton's second law analogy with a mechanical dissipative system. On the basis of this analogy, we find that the values of the burning wave rates have a continuous distribution and are bounded at the bottom, that is, they have a continuous spectrum. Within the framework of the new model, we show the auto-wave to be possible for certain neutron energies only. Also we find that two burning modes are possible depending on the control parameters: a traveling auto-wave and a wave driven by an external neutron source