Date of Award


Document Type

Open Access Thesis

Degree Name

Master of Science (MS)


Physics, Applied

First Advisor

Maxim Olshanii

Second Advisor

Adolfo del Campo

Third Advisor

Bala Sundaram


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.

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