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Higher-Order Corrections to Earth's Ionosphere Shocks

Communications in Theoretical Physics 2017年第1期67卷 90-96页

作者： H.G.Abdelwahed E.K.El-Shewy Plasma Technology and Material Science Unit(PTMSU) Physics DepartmentCollege of Science and Humanitarian StudiesPrince Sattam bin Abdulaziz UniversityAlkharjKSA Theoretical Physics Group Physics DepartmentFaculty of ScienceMansoura UniversityMansouraEgypt

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.

关键词： nonthermal electrons ion shock waves Burgers equation Burger type equation renormalization method higher-order dissipation

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Research on percolation model and criticality of seismicity

引用

Acta Seismologica Sinica(English Edition) 1999年第4期12卷 419-427,494页

作者：柯善明顾浩鼎翟文杰 Seismological Bureau of Liaoning Province Shenyang 110031 China

Making use of modern nonlinear physics theory and earthquake focus theory, combined with seismicity characteristics, the percolation model of earthquake activity is given in this paper. We take the seismogenic process of alarge earthquake as a phase transition process of percolation and apply the renormalization method to phase transition of percolation. The critical property of the system, which is like percolation probability exponential andcorrelative length exponential, etc, can be calculated under the fixed point as which in the renormalization transformation infinite correlative length in percolation phase transition is taken. The percolation phase transition process of two large earthquakes, which are Haicheng and Tangshan event occurred in 1975 and 1976 respectively, hasbeen discussed by means of seismicity data before and after two shocks.

关键词： percolation model seismicity percolation phase transition renormalization method critical cxponential

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