A new continuum approach for nonlinear kinetic simulation and transport analysis

Physics of Plasmas - Tập 22 Số 2 - 2015
Zhujiang Dai1, Yingfeng Xu2, Lei Ye2, Xiaotao Xiao2, Shaojie Wang1
1University of Science and Technology of China 1 Department of Modern Physics, , Hefei 230026, China
2Institute of Plasma Physics 2 , Chinese Academy of Science, Hefei 230031, China

Tóm tắt

A numerical code based on the I-transform approach is developed to solve the nonlinear Vlasov equation and carry out the transport analysis. The numerical results given by the I-transform approach agree with the conservative semi-Lagrangian approach in the Landau damping case and the bump-on-tail instability case. The diffusivities induced by the random fields and the quasilinear transport are also successfully demonstrated by using the new approach. It is found that the nonlinear transport in the one-dimensional Langmuir turbulence cannot be well-described by a simple diffusion model, due to the strong particle trapping at the nonlinear stage.

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Tài liệu tham khảo

1968, Sov. Phys. JETP-USSR, 26, 233

1976, Rev. Mod. Phys., 48, 239, 10.1103/RevModPhys.48.239

1969, Dokl. Akad. Nauk SSSR, 189, 1204

2005, Aspects of Anomalous Transport in Plasmas, 79

2010, Nucl. Fusion, 50, 043002, 10.1088/0029-5515/50/4/043002

2005, Phys. Plasmas, 12, 122305, 10.1063/1.2118729

2008, Phys. Rev. Lett., 101, 095001, 10.1103/PhysRevLett.101.095001

1999, J. Comput. Phys., 149, 201, 10.1006/jcph.1998.6148

2010, Phys. Rev. Lett., 104, 235001, 10.1103/PhysRevLett.104.235001

2012, Phys. Plasmas, 19, 062504, 10.1063/1.4729660

2013, Phys. Rev. E, 87, 063103, 10.1103/PhysRevE.87.063103

2013, Phys. Plasmas, 20, 082312, 10.1063/1.4818593

2014, Phys. Plasmas, 21, 042505, 10.1063/1.4871726

2014, Phys. Plasmas, 21, 072312, 10.1063/1.4890356

1982, J. Math. Phys., 23, 742, 10.1063/1.525429

2007, Rev. Mod. Phys., 79, 421, 10.1103/RevModPhys.79.421

1997, Phys. Rev. Lett., 79, 2815, 10.1103/PhysRevLett.79.2815

1976, J. Comput. Phys., 22, 330, 10.1016/0021-9991(76)90053-X

2010, J. Comput. Phys., 229, 1927, 10.1016/j.jcp.2009.11.007

1974, Phys. Fluids, 17, 2030, 10.1063/1.1694662