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.
|Commitee:||Sundaram, Bala, del Campo, Adolfo|
|School:||University of Massachusetts Boston|
|School Location:||United States -- Massachusetts|
|Source:||MAI 56/03M(E), Masters Abstracts International|
|Keywords:||Bethe ansatz, Integrability, Mass mixture, Newton's cradle, Root systems, Thermalization|
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