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Hydrodynamics of cold atomic gases in the limit of weak nonlinearity, dispersion and dissipation | | Manas Kulkarni
; Alexander G. Abanov
; | | Date: |
27 May 2012 | | Abstract: | Dynamics of interacting cold atomic gases have recently become a focus of
both experimental and theoretical studies. Often cold atom systems show
hydrodynamic behavior and support the propagation of nonlinear dispersive
waves. Although this propagation depends on many details of the system, a great
insight can be obtained in the rather universal limit of weak nonlinearity,
dispersion and dissipation (WNDD). In this limit, using a reductive
perturbation method we map some of the hydrodynamic models relevant to cold
atoms to well known chiral one-dimensional equations such as KdV, Burgers,
KdV-Burgers, and Benjamin-Ono equations. These equations have been thoroughly
studied in literature. The mapping gives us a simple way to make estimates for
original hydrodynamic equations and to study the interplay between
nonlinearity, dissipation and dispersion which are the hallmarks of nonlinear
hydrodynamics. | | Source: | arXiv, 1205.5917 | | Services: | Forum | Review | PDF | Favorites | |
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