Hamiltonian gyrokinetic Vlasov–Maxwell system
نویسندگان
چکیده
منابع مشابه
Hamiltonian gyrokinetic Vlasov–Maxwell system
Article history: Received 25 June 2015 Accepted 26 June 2015 Available online 30 June 2015 Communicated by C.R. Doering
متن کاملSystem size effects on gyrokinetic turbulence.
The scaling of turbulence-driven heat transport with system size in magnetically confined plasmas is reexamined using first-principles based numerical simulations. Two very different numerical methods are applied to this problem, in order to resolve a long-standing quantitative disagreement, which may have arisen due to inconsistencies in the geometrical approximation. System size effects are f...
متن کاملAn extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system
In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =langle I_0, I_1, I_2rangle$, where $I_k(h)=int_{H=h}x^ky,dx$ and $H(x,y)=frac{1}{2}y^2+frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $hin(0,frac{1}{2})$. To this end, we use the criterion and tools developed by...
متن کاملGyrokinetic Equivalence
We compare two different derivations of the gyrokinetic equation: the Hamiltonian approach in [Dubin D H E et al 1983 Phys. Fluids 26 3524] and the recursive methodology in [Parra F I et al 2008 Plasma Phys. Control. Fusion 50 065014]. We prove that both approaches yield the same result at least to second order in a Larmor radius over macroscopic length expansion. There are subtle differences i...
متن کاملOptimal Control and Hamiltonian System
In this paper, an optimal control for Hamiltonian control systems with external variables will be formulated and analysed. Necessary and sufficient conditions which lead to Pantryagin’s principle are stated and elaborated. Finally it is shown how the Pontryagin’s principle fits very well to the theory of Hamiltonian systems. The case of Potryagin’s maximum principle will be considered in detail...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 2015
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2015.06.051