A possibility of self-organization of magnetized four-component dusty plasmas to double Beltrami (DB) state is explored. It is found that for a specific set of Beltrami parameters, the four-component dusty plasma self-organizes to DB state. The DB state characterized by two scale parameters may represent a paramagnetic or diamagnetic field structure. The impact of Beltrami parameters, charge and densities of dust grains on formation of self-organized structures has also been investigated. This study has potential relevance to the formation of large-scale structures in astrophysical plasmas.
K E Y W O R D SBeltrami parameters, dusty plasma, self-organization
INTRODUCTIONRecently, dusty plasmas have become very popular because of their presence in laboratory as well as in space [1][2][3] and astrophysical environments, for example, they are found in Jupiter's magnetosphere, [1,2,4] upper mesosphere, [5] cometary tails, [2,6,7] planetary rings, [8] and so on. A dusty plasma is a collection of bulky charged dust fluids which also contain electrons and ions. The dusty plasmas comprising of a mixture of electrons, ions, and negatively charged dust grains have been studied extensively [9][10][11][12][13][14][15][16] because in low temperature plasmas, the electrons have high thermal speed in comparison to ions and are more likely to attach the massive dust particles. However, the plasmas containing positively charged dust grains have also been found in Jupiter's magnetosphere, [4] upper mesosphere, [5] and cometary tails. [3,7,16] The positively charged dust grains are created due to three emission processes namely photoemission, [17] secondary emission, [7] and thermionic emission. [18] It has also been observed that both type of negatively and positively charged dust grains are found in a variety of space [1-3] and astrophysical objects namely Jupiter's magnetosphere, [4] upper mesosphere, [5] and cometary tails. [3,7,16] It has been investigated theoretically that the dimensions of dust particles play an important role in the creation of positive and negative dust grains. It is found that dust grains with smaller sizes are more likely to be charged positively while the heavier ones get negatively charged. [7] However, through mechanism of triboelectric charging, it is possible that heavy dust grains become positively charged and the smaller ones become negatively charged. [11,19,20] A variety of eigenmodes in dusty plasmas [21] like dust acoustic waves, [22] dust drift mode, [23] dust cyclotron acoustic waves, [24] dust lattice waves, [25,26] and so on have been investigated in dusty plasmas. The ion-acoustic solitons having large amplitudes have been studied in dusty plasmas composed of electrons, cold ions, and negatively charged dust grains by Bharuthram [12] while in four-component (two ions of opposite polarities, electrons and immobile dust particles) collisional dusty plasma, the acoustic solitary waves have been studied by Misra. [27] The dynamics of charged dust in the solar atmosphere has been studied by Ho...