Collision-less shocks and solitons in dense laser-produced Fermi plasma

Abstract

The theoretical investigation of shocks and solitary structures in a dense quantum plasma containing electrons at finite temperature, nondegenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered collisions to be absent, and the shocks arise out of viscous force. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. Under limiting cases, we have also obtained the KdV solitary profiles and studied the parametric dependence. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects.

Investigation of dust ion acoustic shock and solitary waves in a viscous dusty plasma

“…In this whole discussion, we have considered the ion velocity at about ten times greater than the velocity of dust particles. As we said in the previous result that we have discussed most of the results in the supersonic region so the effect of the dust streaming velocity is very less but it is the opposite of the result previously found for electro-static [16] or electron-acoustic [48,49] cases. In these papers, when the streaming velocities of the constituent particles increase the nonlinearity decrease, and the dispersive effect increases significantly.…”

“…There are two kinds of shock that can form in the case of fluids the first and mostly found in a viscous plasma is the strong shock when two fluids are propagating or colliding with each other with a velocity greater than the local acoustic waves, i.e. (M > 1) and the second kind of shock when two fluids collide a subsonic speed (M < 1) which is known as weak shock, this type of shock is very well known in case of fluids [64,65] and for laser-plasma interaction [16] but till now no report has been made in the case of dusty plasma. In figure 5 Now as we have discussed in section 4.2 when there is no viscous term the KdVB transforms into the KdV equation and here we will discuss the analytical solution of the KdV equation, i.e the solitary waves.…”

“…Applying this pressure term without considering the Bohm diffraction term we get the equation (3). Following the same procedure as used by Akbari-Moghanjoughi and Eliasson [42] and Goswami et al [16] we get the σ as…”

“…Furthermore, the ion-acoustic (IA) [14], electron acoustic (EA) [15] and electron-static (ES) [16] modes can also be present in a dusty plasma environment.…”

Shocks and solitons in collisional dense laser produced plasmas

“…Depending on the inter-particle interaction, shocks are again classified into non-collisional and collisional types. In the absence of collisional effects, shocks experience instabilities due to collective phenomena in plasma which provide the excess energy to be dissipated at the shock front and in the presence of collisions the kinetic energy is supplied by the binary collisions and the shock fronts are narrower with a width of a few mean free path of binary collisions [6,7].…”