Higher-Order Corrections to Earth’s Ionosphere Shocks
Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As t...
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| Published in | Communications in theoretical physics Vol. 67; no. 1; pp. 90 - 96 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
2017
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| Online Access | Get full text |
| ISSN | 0253-6102 |
| DOI | 10.1088/0253-6102/67/1/90 |
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| Summary: | Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As the shock amplitude decreasing or enlarging,its steepness and velocity deviate from Burger equation. Burgers type equation with higher order dissipation must be obtained to avoid this deviation. Solution for the compined two equations has been derived using renormalization analysis. Effects of higher-order, positive- negative mass ratio Q, electron nonthermal parameter δ and kinematic viscosities coefficient of positive（negative） ions η1 and η2 on the electrostatic shocks in Earth’s ionosphere are also argued. |
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| Bibliography: | nonthermal electrons;ion shock waves;Burgers equation;Burger type equation;renormalization method;higher-order dissipation 11-2592/O3 Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive（negative） ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As the shock amplitude decreasing or enlarging,its steepness and velocity deviate from Burger equation. Burgers type equation with higher order dissipation must be obtained to avoid this deviation. Solution for the compined two equations has been derived using renormalization analysis. Effects of higher-order, positive- negative mass ratio Q, electron nonthermal parameter δ and kinematic viscosities coefficient of positive（negative） ions η1 and η2 on the electrostatic shocks in Earth’s ionosphere are also argued. |
| ISSN: | 0253-6102 |
| DOI: | 10.1088/0253-6102/67/1/90 |