Date of Award
12-31-2016
Document Type
Open Access Thesis
Degree Name
Master of Science (MS)
Department
Physics, Applied
First Advisor
Maxim Olshanii
Second Advisor
Adolfo del Campo
Third Advisor
Bala Sundaram
Abstract
Among systems with many hard-core point particles that only interact by elastic collisions in one-dimension, it has long been thought that only those with equal mass particles were completely integrable, where the final state of the system through time evolution could be easily predicted from its initial state due to the existence of a maximal number of conserved quantities. In this thesis, we introduce a new class of integrable three-particle systems that contain two unequal masses. These integrable triplets can affect the rate of thermalization in a much larger system composed of particles with two unequal masses, the effect of which is demonstrated with a numerical simulation.
Recommended Citation
Hwang, Zaijong, "A New Class of Integrable Two-Mass Mixtures in One-Dimension" (2016). Graduate Masters Theses. 417.
https://scholarworks.umb.edu/masters_theses/417