# Geometry dependence of stellarator turbulence

## Related Articles

- Kolmogorov spectra of Langmuir and optical turbulence. Falkovich, G. E.; Ryzhenkova, I. V. // Physics of Fluids B: Plasma Physics;Mar92, Vol. 4 Issue 3, p594
Weak developed turbulence in the framework of both scalar and vector nonlinear SchrÃ¶dinger equations is considered. It corresponds to waves with a quadratic dispersion law Ï‰k=Ï‰0+Î²k2 and with a zero scaling exponent of the interaction coefficient. The consideration thus embraces the...

- Geometry of wave functions. Aminov, Yu. // Doklady Mathematics;Oct2011, Vol. 84 Issue 2, p656
The article explores the possible existence of a close relationship between the intrinsic geometry of the submanifolds and the quantum numbers of the wave functions. It provides information on the stationary wave functions of an electron with discrete spectrum in a hydrogen or a hydrogen like...

- Geometric Phase of an Open System. Buric, N.; Radonjic, M. // Acta Physica Polonica, A.;Oct2009, Vol. 116 Issue 4, p483
Quantum state diffusion unraveling of the Linblad master equation is utilized to define a geometric phase of an open quantum system. It is then shown that such geometric phase is invariant under unitary symmetry transformations of the Linblad equation, which is important property not shared by...

- Statistical approach to cubic Langmuir turbulence. Sun, Guo-Zheng; Nicholson, D. R.; Rose, Harvey A. // Physics of Fluids (00319171);Apr86, Vol. 29 Issue 4, p1011
Previous work on the cubic direct interaction approximation applied to the truncated (in Fourier space) cubically nonlinear SchrÃ¶dinger equation model of Langmuir turbulence is extended to more modes. In the undriven, undamped case, excellent agreement between the statistical theory and a...

- Structural invariance of the SchrÃ¶dinger equation and chronoprojective geometry. Burdet, G.; Perrin, M. // Journal of Mathematical Physics;Feb85, Vol. 26 Issue 2, p292
We describe an extension of the chronoprojective geometry and show how its automorphisms are related to the invariance properties of the SchrÃ¶dinger equation describing a quantum test particle in any Newtonâ€“Cartan structure.

- An extension of Fourier analysis for the n-torus in the magnetic field and its application to spectral analysis of the magnetic Laplacian. Sakamoto, Makoto; Tanimura, Shogo // Journal of Mathematical Physics;Nov2003, Vol. 44 Issue 11, p5042
We solved the SchrÃ¶dinger equation for a particle in a uniform magnetic field in the n-dimensional torus. We obtained a complete set of solutions for a broad class of problems; the torus T[sup n]=R[sup n]/Î› is defined as a quotient of the Euclidean space R[sup n] by an arbitrary...

- Vortex Filament Equation and Non-linear SchrÃ¶dinger Equation in SÂ³. Hongning Zhang; Faen Wu // Kyungpook Mathematical Journal;2007, Vol. 47 Issue 3, p381
In 1906, da Rios, a student of Leivi-Civita, wrote a master's thesis modeling the motion of a vortex in a viscous fluid by the motion of a curve propagating in RÂ³, in the direction of its binormal with a speed equal to its curvature. Much later, in 1971 Hasimoto showed the equivalence of this...

- Supersymmetry and the Atiyahâ€“Singer index theorem. II. The scalar curvature factor in the SchrÃ¶dinger equation. Mostafazadeh, Ali // Journal of Mathematical Physics;Mar1994, Vol. 35 Issue 3, p1125
The quantization of the superclassical system used in the proof of the index theorem results in a factor of (h2/8)R in the Hamiltonian. The path integral expression for the kernel is analyzed up to and including the two-loop order. The existence of the scalar curvature term is confirmed by...

- Particle Deposition in Industrial Duct Bends. PETERS, THOMAS M.; LEITH, DAVID // Annals of Occupational Hygiene;Jul2004, Vol. 48 Issue 5, p483
A study of particle deposition in industrial duct bends is presented. Particle deposition by size was measured by comparing particle size distributions upstream and downstream of bends that had geometries and flow conditions similar to those used in industrial ventilation. As the interior...