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oai:www.ideals.illinois.edu:2142/73044 2023-07-11 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

Stone, Michael Stack, John Cooper, S. Lance Peng, Jen-Chieh Stone, Michael Xing, Lei 2015-01-21T19:58:50Z 2015-01-21T19:58:50Z 2017-01-22T10:15:29Z 2014-12 2015-01-21 2014-12 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. Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-07-21T22:07:40Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 thesis_Lei_Xing.pdf: 1820398 bytes, checksum: bc21ce5c13ad47d9e5c6786d0694a567 (MD5) dissertation_Lei_Xing.pdf: 1820723 bytes, checksum: 5114afb422a47701f09721e20066ee10 (MD5) Made available in DSpace on 2015-01-21T19:58:50Z (GMT). No. of bitstreams: 1 Lei_Xing.pdf: 1820689 bytes, checksum: 9c67500f26f00003c20ac323e9966226 (MD5) Embargo set by: Seth Robbins for item 73233 Lift date: 2017-01-21T19:59:39Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system Limited Restriction Lifted for Item 73233 on 2017-01-22T10:15:29Z. http://hdl.handle.net/2142/73044 en Copyright 2014 Lei Xing spin hydrodynamics Calogero soliton integrability Classical hydrodynamics of Calogero-Sutherland models text Physics 1244 Physics 0240 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Physics -UIUC 10KS0240PHD