I am curious about how extremely relativistic electrons (10s of GeVs to single TeVs) scatter when going through the interplanetary and interstellar medium, which is a thin plasma. I have read about beam power and beam weapons producing these, but I have not found a lot of consistent information on how to model this or even make approximations for how much scattering could be expected at what ranges, which would limit the use of either.
Please note, I am NOT a scientist, just a curious person with some programming acumen, and a few science courses from college over a long time ago. I am happy to learn and have done as much as I can before asking here, of course, but I am not at the level of many people here.
Obviously, particle beams with with gammas in the millions are not likely to bloom much in a true vacuum, but I was told Mott scattering could cause lots of slight deflections to add up. Very slight perturbations can indeed add up over distances measured in light seconds to light minutes! The issue is is that I am not interested in single electrons, I am interested in the collective beam physics of bunches of them, and relativistic ones at that.
How could I approach this? Is this something truly out of the reach of a layperson?