Date of Award
8-1-2013
Document Type
Campus Access Thesis
Degree Name
Master of Science (MS)
Department
Physics, Applied
First Advisor
Maxim Olshanii
Second Advisor
Steven G. Jackson
Third Advisor
Stephen Arnason
Abstract
In this thesis, we study mixtures of one-dimensional Tonks-Girardeau (i.e. hard-core), with an emphasis on mass ratios for which some mass triplets constitute an integrable system. The work extends the links between crystallographic root systems and integrable dynamical systems explored by Girardeau, Lieb & Liniger, McGuire, and Gaudin in the 1960's to the non-crystallographic root systems. While genuine integrability exists exclusively on an infinite line, for particular mass triplets in a particular spatial order, we nevertheless find some traces of it--such as a slowdown of thermalization--in both three-body systems on a ring and in many-body mass mixtures.
Recommended Citation
Cao, Frank Thanh, "Thermalization of One-Dimensional Tonks-Girardeau Gas Mixtures, at and around the Kaleidoscopic Mass Ratios" (2013). Graduate Masters Theses. 187.
https://scholarworks.umb.edu/masters_theses/187
Comments
Free and open access to this Campus Access Thesis is made available to the UMass Boston community by ScholarWorks at UMass Boston. Those not on campus and those without a UMass Boston campus username and password may gain access to this thesis through resources like Proquest Dissertations & Theses Global or through Interlibrary Loan. If you have a UMass Boston campus username and password and would like to download this work from off-campus, click on the "Off-Campus UMass Boston Users" link above.