مشخصات پژوهش

In this paper, we use the conventional quantum hydrodynamics (QHD) model in combination with th e Sagdeev ps eud opot enti al met hod t o expl ore t he ef fect s of Thomas -Fer mi non unif or m elect ron distribution, Coulomb interactions, electron exchange, and ion correlation on the large-amplitude nonlinear soliton dynamics in Fermi-Dirac plasmas. It is found that in the presence of strong in ter acti ons , s ig nifi cant di ff er ences in nonl inear w ave dynamics of Fer mi- Dir ac plas mas in t he tw o distinct regimes of nonrelativistic and relativistic degeneracies exist. Furthermore, it is remarked that first-order corrections due to such interactions (which are proportional to the fine-structure constant) ar e mo re s igni ficant on s oli ton char acter is tics ( par ti cul arl y t he amp li tud e) i n th e nonr elat ivi sti c plasma degeneracy regime rather than the relativistic one. In the relativistic degeneracy regime, however, these effects become less important and the electron quantum-tunneling and Pauli-exclusion dominate the nonlinear wave dynamics. Hence, application of non-interacting Fermi-Dirac QHD model t o s tudy t he nonl inear w ave dynamics in quant um p las mas , s uch as i n compact s tars is m os t appropriate for the relativistic degeneracy regime rather than nonrelativistic one.