Numerical Solution for Vlasov Equation

  • The Vlasov equahon is solved by expansion in terms of generalized Laguerre polynomials. Some stUdies on microwave instability are done based on the code and some resultS are obtained.
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  • [1] Chao A. Physics of Collective Beam Instabijities in High Energy Accelerator. New York: Wiley, 19932 Sacherer F. IEEE Trans. Nucl. Science NS–24,1977, (3): 13933 Chao A, Gareyte J. Part. Accel., 1990, 25:229 4 Qin Q et al. Proc. of the Workshop on Beam Instabilities in Storage mug. Hefei, 1994, 72–775 Oide K, Yokoya K KEK–Preprint 90–10, 1990; Oide K KEK Preprint 94–138, 19946 Fang S X et al. KEK Proceedings, 95–7, 1995, 115–128 7 Chen B. The Longitudinal Collechve instabilihes of Nonlinear Hamiltonian Systems in a Circular Accelerator(Ph. D Deseration). Unly. of Texas, Austin; 1994, 10 8 Baartman R. D'yachkov M. Proc. IEEE Par. Accel. Conf. Dallas: 19959 Wang Guangwei. Measuring the Longitudinal Impedance of ComponentS in the BEPC Storage Ring, Ph. D.–Thesis (in Chinese). Beijing: IHEP. 1989(王光伟.BEPC储存环纵向阻抗的测量(博士论文)北京:高能所1989) 10 Hhuang Wenhui. Proceedings of the sixth Particle Accelerator Physics Symposium (in Chinese). 1997,223– 227(黄文会第六届全国加速器物理学术交流会论文集1997,223–227)
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Huang Wenhui and Wang Guangwei. Numerical Solution for Vlasov Equation[J]. Chinese Physics C, 1999, 23(12): 1216-1222.
Huang Wenhui and Wang Guangwei. Numerical Solution for Vlasov Equation[J]. Chinese Physics C, 1999, 23(12): 1216-1222. shu
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Received: 1998-10-21
Revised: 1900-01-01
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Numerical Solution for Vlasov Equation

    Corresponding author: Huang Wenhui,
  • Department of engineer Physics, Tsinghua Universing, Beijing 100084

Abstract: The Vlasov equahon is solved by expansion in terms of generalized Laguerre polynomials. Some stUdies on microwave instability are done based on the code and some resultS are obtained.

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