Consider you have a plasma, and then you use a laser to heat it so that the part of the plasma that the laser went through is heated to 150 million degrees. The rest of the plasma temperature is not altered drastically. I was wonder if a maxwellian boltzmann distribution will appear. Since, the particles have extremely high kinetic energies, almost all collisions will result in fusion. For a plasma to resort to the maxwell boltzmann distribution, elastic collisions need to take place. But since, in this case almost all collisions result in fusion, do elastic collisions even happen? I know that helium would be produced and then it will resort to the distribution, but that is not what I am interested in. Do elastic collisions even happen if a part of the plasma is almost instantaneously heated or If a high energy particle beam hit the dense plasma?
There is one major misunderstanding in your question: even if you heat up the plasma to very high temperatures, elastic collisions are still more likely to occur than fusion reactions.