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Author(s):
T.-H. Watanabe, H. Sugama and T. Sato
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Title:
Non-dissipative Kinetic Simulation and Analytical Solution of Three-mode Equations of Ion Temperature Gradient Instability
Date of publication:
Dec. 1999
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Key words:
Computer simulation, numerical algorithm, drift waves
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Abstract:
A non-dissipative drift kinetic simulation scheme, which regorously satisfies the time-reversibility, is applies to the three-mode coupling problem of the ion temperature gradient (ITG) instability. It is found from the simulation that the three-mode ITG system repeats growth and decay with a period which shows a logarithmic divergence for infinitesimal initial perturbations. Accordingly, time average of the mode amplitude vanishes, as the initial amplitude approaches to zero. An exact solution is analytically given for a class of initial conditions. An excellent agreement is confirmed between the analytical solution and numerical results. The results obtained here provide a useful reference for basic benchmarking of theories and simulations of the ITG modes.
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