Date of Award
5-2024
Document Type
Campus Access Thesis
Degree Name
Master of Science (MS)
Department
Physics, Applied
First Advisor
Olga Goulko
Second Advisor
Maxim Olchanyi
Third Advisor
Jason Green
Abstract
This research focuses on the simulation of ultracold Fermi gases to investigate spin transport. We focus on the high-temperature weak-coupling regime where particles follow the Maxwell-Boltzmann distribution. In our simulations, we use a 3-dimensional box setup to initially separate opposite spin species into two halves of the box and then allow the species to diffuse into each other. The opposite spin particles scatter semi-classically as the system relaxes to equilibrium. We vary parameters such as temperature and scattering length for each simulation, and the results from the simulations are used to calculate an equation for the diffusion coefficient. The equation moderately agrees with the theoretical diffusion coefficient within a range of temperatures and scattering lengths.
Recommended Citation
Lau, Jason, "Numerical Simulation of the Boltzmann Equation" (2024). Graduate Masters Theses. 843.
https://scholarworks.umb.edu/masters_theses/843
Comments
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