Low-dimensional chaos and wave turbulence in plasmas.
نویسندگان
چکیده
We investigated drift-wave turbulence in the plasma edge of a small tokamak by considering solutions of the Hasegawa-Mima equation involving three interacting modes in Fourier space. The resulting low-dimensional dynamics presented periodic as well as chaotic evolution of the Fourier-mode amplitudes, and we performed the control of chaotic behaviour through the application of a fourth resonant wave of small amplitude.
منابع مشابه
Extensive chaos in the nikolaevskii model
We carry out a systematic study of a different type of chaos at onset ("soft-mode turbulence") based on numerical integration of the simplest one-dimensional model. The chaos is characterized by a smooth interplay of different spatial scales, with defect generation being unimportant. The Lyapunov exponents are calculated for several system sizes for fixed values of the control parameter epsilon...
متن کاملExperimental Study of Zonal Flow, Geodesic Acoustic Mode and Turbulence Regulation in Edge Plasmas of the HL-2A Tokamak
The coexistence of intensive low frequency zonal flows (LFZFs) and geodesic acoustic modes (GAMs) has been observed by identifying the spatial characteristics, i.e. the symmetries in poloidal and toroidal directions, and the finite radial wave number, using three-dimensional Langmuir probe arrays in the edge plasmas of HL-2A tokamak. The analysis of three wave coupling with ambient turbulence s...
متن کاملSynchronization of Chaos and the Transition to wave turbulence
The onset of turbulence is one of the outstanding problems of theoretical physics [Landau & Lifshitz, 1987; Frisch, 1995]. A seminal contribution to this study was brought about by Ruelle and Takens, who described the onset of turbulence as a sequence of Hopf bifurcations yielding a chaotic attractor in the system phase space [Ruelle & Takens, 1971; Newhouse et al., 1978]. In spite of the recen...
متن کاملSelf-consistent chaos and Arnold diffusion in a cyclotron-maser wave-particle system.
In this work, we search for the presence of chaos in a self-consistent model for the cyclotronresonance maser accelerator. Two characteristic regimes are identified. If the initial action variable of the accelerating particles is small, rapid phase bunching occurs and the particle population is condensed into a single macroparticle in phase space. As a result, this low-dimensional state is pred...
متن کاملIon stochastic heating by obliquely propagating magnetosonic waves
Related Articles Transport formulation of the gyrokinetic turbulence Phys. Plasmas 19, 062504 (2012) Convective cell generation by kinetic Alfvén wave turbulence in the auroral ionosphere Phys. Plasmas 19, 062901 (2012) Continuum limit of electrostatic gyrokinetic absolute equilibrium Phys. Plasmas 19, 062304 (2012) Magnetoplasma waves on the surface of a semiconductor nanotube with a superlatt...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
دوره 366 1865 شماره
صفحات -
تاریخ انتشار 2008