Classical hydrodynamics of Calogero-Sutherland models

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Xing, Lei

Contributors dc:contributor

• Stone, Michael
• Stack, John
• Cooper, S. Lance
• Peng, Jen-Chieh

• spin
• hydrodynamics
• Calogero
• soliton
• integrability

Statement dc:rights

• Copyright 2014 Lei Xing

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/73044

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/73044