Linear and nonlinear dust lattice waves in plasma crystals

✍ Scribed by B Farokhi; P.K Shukla; N.L Tsintsadze; D.D Tskhakaya

• Book ID: 104337981
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 61 KB
• Volume: 264
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00820-8

✦ Synopsis

Linear and nonlinear studies of dust lattice waves in a dusty plasma crystal have been carried out on the basis of the Schrodinger equation which is deduced from Poisson's equation for small dust grain potentials. The spatial distribution of ẗhe potential in the dust-lattice includes the effect of the whole system of the dust particles. Such a self-consistent analysis gives a dispersion relation for the dust lattice wave, which is different from the expression found earlier. The frequency of the lattice oscillation increases considerably for large grain charges. Furthermore, it is found that an ideal lattice can only exist if the dusty plasma parameters satisfy a definite relationship between the dusty plasma Debye radius, the inter-grain Ž . separation, and the grain size. Finally, accounting for the weak nonlinearities, we also derive a Korteweg-de Vries KdV Ž . equation for the nonlinear dust lattice waves in the long wavelength approximation kd < 1 , where k is the wave number and d the inter-grain spacing.