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Title:Classical hydrodynamics of Calogero-Sutherland models
Author(s):Xing, Lei
Director of Research:Stone, Michael
Doctoral Committee Chair(s):Stack, John
Doctoral Committee Member(s):Cooper, S. Lance; Peng, Jen-Chieh; Stone, Michael
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):spin
hydrodynamics
Calogero
soliton
integrability
Abstract:The Calogero Sutherland model is system of particle moving on a line and interacting with long-range forces. In this thesis we consider the classical case where the particles may or may not possess a spin degree of freedom. We demonstrate the intimate connection between the Calogero-Sutherland system and the Benjamin Ono equation. We then directly obtain a classical hydrodynamical limit of both the spineless and spinful Calogero system. The continuum limit of the spinless system is known to exhibit solition solutions. We show numerically that the spinful system also exhibits localized solutions with the soliton property. This is a strong evidence that the continuum spin-Calogero model is exactly integrable.
Issue Date:2015-01-21
URI:http://hdl.handle.net/2142/73044
Rights Information:Copyright 2014 Lei Xing
Date Available in IDEALS:2015-01-21
Date Deposited:2014-12


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