Nonlinear dissipative wave structures in planar and nonplanar geometry with quantum electron exchange-correlation potential |
| |
| Institution: | 1. Department of Physics, College of Science and Humanities and in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;2. Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura, Egypt;3. Theoretical Physics Group, Department of Physics, Faculty of Science, Damietta University, New Damietta, Egypt;4. Department of Physics, Faculty of Science, The New Valley University, El-Kharja 72714, Egypt |
| |
| Abstract: | Taking into account the effects of electron exchange-correlation potential, particle collisions, the nonlinear dynamical properties of planar and nonplanar (cylindrical and spherical) electrostatic ion-acoustic waves (IAWs) are investigated theoretically and numerically in quantum plasmas. With the aid of quantum hydrodynamic model and the reductive perturbation technique, the planar and nonplanar dispersive-dissipative equations (modified Kakutani–Kawahara equations) are obtained to elucidate the nonlinear quantum IAW profiles. The influences of the electron exchange-correlation potential, Bohm potential and collisional effects in the wave dynamics are studied. For a typical parametric range, relevant for laboratory and astrophysical environments, it is found that the contribution from exchange-correlation potential to be prominent in comparison to the effect due to the Bohm potential. Also, numerical simulation predicts that the dissipation induced by the particle collisions leads to the evolution of low frequency shock structures in dense quantum plasmas. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
