Axially and spherically symmetric solitons in warm plasma

Abstract

We study the existence of stable axially and spherically symmetric plasma structures on the basis of the new nonlinear Schrödinger equation (NLSE) accounting for nonlocal electron nonlinearities. The numerical solutions of NLSE having the form of spatial solitions are obtained and their stability is analyzed. We discuss the possible application of the obtained results to the theoretical description of natural plasmoids in the atmosphere.

Effective attraction between oscillating electrons in a plasmoid via acoustic wave exchange

“…Unlike Vlasov & Yakovlev (1978), in the present work we will suggest that the stability of a plasma structure is provided by some other mechanisms, like various nonlinear (Škorić & ter Haar, 1980;Laedke & Spatschen, 1984;Dvornikov, 2011), or quantum (Haas & Shukla, 2009)…”

“…In this work we will mainly discuss spherically symmetric plasma oscillations. The possibility of the existence of such a plasma structure is pre-dicted in both classical (Škorić & ter Haar, 1980;Laedke & Spatschen, 1984;Dvornikov, 2011) and quantum (Dvornikov & Dvornikov, 2007;Haas & Shukla, 2009) cases. Stable classical plasmoids can exist due to the various plasma nonlinearities, which arrest the collapse of oscillations (Goldman, 1984), whereas the stability of quantum plasmoids is provided by the additional quantum pressure.…”

“…In the present work, using the formalism of Vlasov & Yakovlev (1978), we will study the effective attraction between charged particles participating in spherically symmetric oscillations of a low temperature plasma. Recently radial plasma pulsations were considered by Dvornikov & Dvornikov (2007); Dvornikov (2010Dvornikov ( , 2011, in frames of both quantum and classical approaches, as a theoretical model of natural plasmoids (Stenhoff, 1999).…”

Stable Langmuir solitons in plasma with diatomic ions

“…It should be noticed that in this case higher harmonics are generated in the system. However, a plasma structure, supported by this nonlinearity, was demonstrated by Dvornikov (2011) to exist only in the upper ionosphere, where the density is very low. We remind that the majority of the BL observations indicate that this phenomenon happens in the lower troposphere (Bychkov et al, 2010).…”

“…Despite the existence of numerous BL models (Bychkov et al, 2010), it is likely to be a plasma based phenomenon. Dvornikov and Dvornikov (2006);Dvornikov (2011Dvornikov ( , 2012aDvornikov ( ,b, 2013 put forward a hypothesis that BL is based on a radial oscillation of plasma and discussed both classical and quantum approaches to this problem. Note that analogous BL model was also considered by Fedele (1999);Shmatov (2003); Tennakone (2011).…”