The classical hydrodynamics of the Calogero-Sutherland model
arXiv:0803.3735 · doi:10.1088/1751-8113/41/27/275401
Abstract
We explore the classical version of the mapping, due to Abanov and Wiegmann, of Calogero-Sutherland hydrodynamics onto the Benjamin-Ono equation ``on the double.'' We illustrate the mapping by constructing the soliton solutions to the hydrodynamic equations, and show how certain subtleties arise from the need to include corrections to the naive replacement of singular sums by principal-part integrals.
21 pages, RevTeX, one figure. Typos fixed; reference added; more details in appendix
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- Dissipationless kinetics of one dimensional interacting fermions
- Multi-solitons of the half-wave maps equation and Calogero-Moser spin-pole dynamics
- Some connections between the Classical Calogero-Moser model and the Log Gas
- Solitons in a continuous classical Haldane-Shastry spin chain
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- Emptiness Formation in Polytropic Quantum Liquids
- Laminar flow of charged quantum fluids of the Calogero-Sutherland universality class
- Conformal field theory, solitons, and elliptic Calogero--Sutherland models