https://doi.org/10.1140/epjb/e2002-00201-3
Breakdown of waves described by exact solutions of the Thomas-Fermi model
1
Central Design Bureau for Unique Instrumentation, Russian Academy of Sciences, Butlerov Street 15, Moscow 117342, Russia
2
Department of Plasma Physics, Umeå University, 90187 Umeå, Sweden
Corresponding author: a ps@tp4.ruhr-uni-bochum.de
Received:
22
March
2002
Published online:
9
July
2002
The dynamics of large localized repulsive clouds is examined by means of exact non-stationary solutions of the one-dimensional Thomas-Fermi model. The nonlinear flattening of the cloud peak, the wave breakdown at the cloud peripheries, and the condensate velocity distributions are thus described. Our solutions, which can contain an arbitrary amount of free parameters, show the nonlinear evolution of an arbitrary initial wave form. A unique procedure for analyzing these solutions is presented. The difference between our breakdown matter wave solutions and the well known Riemann shock waves is stressed.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena 04. General relativity and gravitation / 03.65.Ge – Solutions of wave equations: bound states / 02.70.Ns – Molecular dynamics and particle methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
