Abstract
The nonlinear aspects of dust motion in one- (1D) and two-dimensional (2D) dust lattices are reviewed. Horizontal (longitudinal, acoustic) as well as vertical (transverse, optic-like) dust grain motion in 1D monolayer is studied. Dust crystals are shown to support nonlinear kink-shaped solitary excitations (density solitons), related to longitudinal (in-plane) dust grain displacement, as well as modulated envelope localized modes associated with either longitudinal (in-plane, acoustic) or transverse (off-plane, inverse-optic) oscillations. Highly localized excitations (Discrete Breathers), associated with transverse dust-grain motion in 1D dust crystals, may also exist, as recently shown from first principles. Hexagonal (2D) dust lattices sustain modulated envelope structures, formed via modulational instability of in-plane vibrations. Discrete analysis of hexagonal crystals also suggests the occurrence of ultra-localized modes and vortices. With the exception of longitudinal density solitons, the above theoretical predictions have not yet been tested in the laboratory. This provides a challenging test-bed for experimental investigations, which will hopefully confirm these results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
