Traveling-wave reactors were first proposed in the 1950s and have been studied intermittently. The concept of a reactor that could breed its own fuel inside the reactor core was initially proposed and studied in 1958 by
Savely Moiseevich Feinberg, who called it a "breed-and-burn" reactor. Further research was published by multiple teams from the late 1970s to the early 2000s. The TWR was discussed at the Innovative Nuclear Energy Systems (INES) symposiums in 2004, 2006 and 2010 in Japan where it was called "CANDLE" Reactor, an abbreviation for
Constant Axial shape of Neutron flux, nuclides densities and power shape During Life of Energy production. In 2012 it was shown that fission waves are a form of bi-stable reaction diffusion phenomenon. It has also been shown that fission waves can be stable, unstable or undergo a
Hopf birfurcation depending on thermal feedback. Irradiation damage has been shown to be an obstacle to the use of conventional materials in wave reactors, but it has been shown that fuel enrichment can be used to reduce this problem. No TWR has yet been constructed, but in 2006
Intellectual Ventures launched a spin-off named
TerraPower to model and commercialize a working design of such a reactor, which later came to be called a "traveling-wave reactor". TerraPower has developed TWR designs for low- to medium- () as well as high-power () generation facilities.
Bill Gates featured TerraPower in his 2010
TED talk. In September 2015 TerraPower and
China National Nuclear Corporation (CNNC) signed a memorandum of understanding to jointly develop a TWR. TerraPower planned to build a demonstration Plant, the TWR-P, by 2018 to 2022 followed by larger commercial plants of in the late 2020s. However, in January 2019 it was announced that the project had been abandoned due to technology transfer limitations placed by the
Trump administration. ==Reactor physics==