On a semiclassical model for damped dust ion-acoustic solitons with analysis of quantum electron exchange-correlation potential

Abstract

The semiclassical hydrodynamic model is used to study the effect of electron exchange-correlation potential, quantum Bohm term, and degenerate pressure on the dynamics of dust ion acoustic waves by following the two-fluid theory in collisional, unmagnetized dusty plasma. For linear analysis, the dispersion relation modified by the exchange-correlation coefficient is derived. For nonlinear analysis, the standard perturbative approach is used to derive a deformed Korteweg–deVries equation with a linear damping term for finite amplitude waves. The analytical and numerical investigations in the presence of low collisional frequencies reveal the existence of compressive dissipative solitons. Considering the dense astrophysical objects, the dissipative compressive solitons are numerically investigated with the effect of different plasma parameters including collisions and exchange-correlation potential.

Nonlinear Langmuir oscillations in an ultrarelativistic degenerate quantum electron-ion plasma

“…The Poisson's equation, equation (19), and the physical quantities (before normalization) used in this paper are written in CGS metrics. Equation (9) gives the number density of electrons, n e , and n i is the number density of ions and ÿ stands for the reduced Planck's constant. The quantum force that results from the Bohm potential is denoted by the term proportional to ÿ 2 [25].…”

“…Masood et al [8] studied the effect of unmagnetized quantum plasma in dust ion acoustic shock wave by using the quantum hydrodynamic (QHD) model. The effect of quantum Bohm, electron exchange correlation potential and degenerate pressure on the dynamics of dust ion acoustic waves using the semi classical hydrodynamic model are studied [9] by using the semi classical hydrodynamic model. However, till now, few papers which focused on the theory of Langmuir waves (LWs) in quantum plasma are established [10][11][12][13][14][15][16][17][18], some of them are restricted to the dispersion of LWs in the linear approximation [4,10].…”

Average conservative chaos in quantum dusty plasmas

“…Consequently, ρ is expected to be close to zero. Just to set some reference values, for plasmas in semiconductor quantum wells [36] typical parameter values can be taken as n e0 = 4 × 10 16 cm −3 , n i0 = 5 × 10 16 cm −3 , n d0 = 10 13 cm −3 , for the electron, ion and dust densities, respectively. These values lead to a ratio Z d0 = 10 3 , which allows to estimate the order of N d in the forthcoming section.…”

“…Nevertheless, the statistical effects due to ions are taken into consideration to some extent by assuming some degeneracy ion pressure [31][32][33]. Finally, we disregard exchange-correlation effects as well, which can have important consequences in a region where the electron density is high and the temperature is very low [34][35][36]. In Sec.…”

Quantum Effects on Cylindrical Dust-ion Acoustic Waves in a Semiclassical Dense Dusty Plasma

“…In such plasmas, the dynamics of dust grains may be taken into account along with ions dynamics. Accordingly, several authors have investigated the propagation characteristics of quantum DIAWs in dusty plasmas, including the dynamics of dust grains as well as ions [21][22][23][24][25]. For example, Emadi and Zahed [24] have investigated the linear and nonlinear properties of DIAWs in a magnetized multi-component quantum dusty plasma composed of inerialess degenerate electrons and positrons, inertial cold ions and negatively charged dust particles.…”