Magnetosonic solitons in dense astrophysical plasmas with exchange-correlation potential effects

Abstract

Low frequency magnetosonic waves propagation in dense astrophysical electron-ion plasmas are studied in the presence of exchange-correlation potential effects of degenerate electrons. Two fluid quantum magnetohydrodynamic model (QMHD) is employed and quantum effects like temperature degeneracy, Bohm potential and exchange-correlation effects are taken into account the momentum equation of degenerate electrons fluid. The Korteweg-de Vries (KdV) equation for nonlinear magnetosonic waves is derived by employing reductive perturbation method. It is found that the phase velocity of the magnetosonic wave is enhanced in dense plasmas in the presence of exchange-correlation force in the model. The exchange-correlation force due to degenerate electrons also effects on the amplitude and width of the magnetosonic soliton in quantum plasmas, where both positive and negative polarity structures of magnetosonic waves are formed depending on the numerical value of quantum diffraction parameter (i.e., less than or greater than 6). These single pulse structures move with speed greater (for positive polarity structure) or less (for negative polarity structure) than the magnetosonic wave phase speed, respectively. The numerical plots are also illustrated by choosing the values of dense plasma parameters exist in compact stars already published in the literature.