Equations of evolution of a hybrid soliton nuclear reactor

AbstractIn this article we give a detailed presentation of a new concept of nuclear reactor which was introduced in [G. Maurel, J. Silva, B. Gaveau, J. Maillard, Hybrid soliton nuclear reactors: a model and simulation, Nucl. Eng. Des. 235 (15) (2005) 1665]. This reactor is an accelerator-driven-system functioning without core intervention during its full life time and which can be used to destroy its own waste products. A mathematical model is developed and we show that this system is stable if the velocity of the neutron source is high enough. Numerical simulations, using GEANT3, give more precise description of the behavior