Jacob Schwartz Scientist & HTML fan
Interpolating in log-log space is often nice
In nuclear and atomic physics it’s common to have data spanning many order of magnitude, like cross sections or reaction rates. If we want to plot, integrate, or generally do calculations on the data, we usually need an interpolation scheme to generate values between the existing data points. The interpolation scheme one chooses affects the accu... Read more 28 Sep 2024
Radial profiles of deposition in a disk: a tricky Taylor series
The previous post calculated the fraction of particles encountering a 2D disk which pass though the disk before being absorbed (deposited) with some mean free path $\lambda$. This post calculates the radial profile of the intensity of deposition in the disk: the number of particles are deposited per unit area at radius $0 \lt \rho \lt 1.$ Read more 20 Jul 2024
Particles from a Maxwellian distribution in a slab with a time-based decay probability
This problem is explored in rough analogy to the problem of ionization of neutrals coming from the wall in the edge plasma of a magnetic fusion device. This problem is almost the same as the one in the previous post, but explores a time-based interaction rather than a distance-based interaction. This allows us to consider the effect of a full ve... Read more 21 Apr 2024
Interaction of particles at depth in a slab
Motivation This problem is explored in rough analogy to the problem of neutron deposition in the first wall of a fusion reactor. Of course, this lacks any number of complexities, but I’m interested in this set up as a very simple model. Read more 14 Apr 2024