Hercuflea said:
Hey I am a math major looking to do an REU (and later a masters/PhD.) in nuclear engineering and I am interested in the field of reactor physics. I hear it tossed around a lot but I don't really know the definition of it. I'm taking a radiation physics class next semester at a separate technological university, but I think that it is more related to materials. Does the field of reactor physics cover both fission and fusion? I am guessing you deal mostly with the reactor core in this field. Mainly I want to be able to develop a strong mathematical background and apply my knowledge from linear algebra, functional analysis, and PDE's to some computational problems in Nuclear engineering.
In general, nuclear reactor physics is devoted to fission systems, and one studies the neutron physics, either diffusion theory or transport theory.
There are several classic texts on Nuclear Reactor Theory or Nuclear Reactor Physics:
George Bell and Samuel Glasstone, Nuclear Reactor Theory, 1968, 1970
John Lamarsh, Introduction to Nuclear Reactor Theory, 1972
Weston Stacey, Nuclear Reactor Physics, 2001
Allan F. Henry, Nuclear-Reactor Analysis, 1975
These tend to address thermal or moderated (water or graphite) reactors, which are the basis of the commercial nuclear industry. In the case of water, it's more along the lines of pressurized water as opposed to boiling water. Emphasis at the introductory level is often on diffusion theory (Helmholtz equation), and steady-state, with some introduction to kinetics (time-dependent) theory.
J. J. Duderstadt and L. J. Hamilton, Nuclear Reactor Analysis, 1976
See also -
https://www.physicsforums.com/showthread.php?t=243543
Duderstadt and Hamilton goes more into transport and multigroup theory. It has been typically used at the graduate level.
If one is interested in fast reactors, then Alan Walter and Albert Reynolds, Fast Breeder Reactors, 1981, would be of interest. It delves into the peculiarities and nuances unique to fast reactors.
Fusion engineering deals with nuclear interactions of charged particles, nuclei and electrons, and the fusion reaction is obviously different from fission. In addition, one has to be familiar with plasma physics. Neutrons are not so important with respect to the plasma, but they are important in regard to the surrounding structure and blanket region of a fusion reactor.