Dissertation/Thesis Abstract

A new class of integrable two-mass mixtures in one-dimension
by Hwang, Zaijong, M.S., University of Massachusetts Boston, 2016, 41; 10247448
Abstract (Summary)

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.

Indexing (document details)
Advisor: Olshanii, Maxim
Commitee: Sundaram, Bala, del Campo, Adolfo
School: University of Massachusetts Boston
Department: Applied Physics
School Location: United States -- Massachusetts
Source: MAI 56/03M(E), Masters Abstracts International
Subjects: Theoretical physics
Keywords: Bethe ansatz, Integrability, Mass mixture, Newton's cradle, Root systems, Thermalization
Publication Number: 10247448
ISBN: 978-1-369-47742-9
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