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- W Dorland, F Jenko, M Kotschenreuther, B N Rogers
- Physical review letters
- 2000

The first toroidal, gyrokinetic, electromagnetic simulations of small scale plasma turbulence are presented. The turbulence considered is driven by gradients in the electron temperature. It is found that electron temperature gradient (ETG) turbulence can induce experimentally relevant thermal losses in magnetic confinement fusion devices. For typical… (More)

- T. Görler, X. Lapillonne, +4 authors D. Told
- J. Comput. Physics
- 2011

The understanding and prediction of transport due to plasma microturbulence is a key open problem in modern plasma physics, and a Grand Challenge for fusion energy research. Ab initio simulations of such small-scale, low-frequency turbulence are to be based on the gyrokinetic equations, a set of nonlinear integro-differential equations in reduced… (More)

- Frank Jenko
- 2000

We use a hybrid model of drift-kinetic electrons and fluid ions to treat electromagnetic drift-wave turbulence in an inhomogeneous collisionless plasma confined by a strong external magnetic field. The electrons are described in terms of a distribution function in five-dimensional phase space, and the basic nonlinear equations are solved numerically on a… (More)

The anomalous (i.e., non-Gaussian) dynamics of particles subject to a deterministic acceleration and a series of "random kicks" is studied. Based on an extension of the concept of continuous time random walks to position-velocity space, a new fractional equation of the Kramers-Fokker-Planck type is derived. The associated collision operator necessarily… (More)

- José E. Román, Matthias Kammerer, Florian Merz, Frank Jenko
- Parallel Computing
- 2010

Article history: Received 14 October 2008 Received in revised form 31 July 2009 Accepted 2 December 2009 Available online 31 December 2009

- R Friedrich, F Jenko, A Baule, S Eule
- Physical review. E, Statistical, nonlinear, and…
- 2006

In order to describe non-Gaussian kinetics in weakly damped systems, the concept of continuous time random walks is extended to particles with finite inertia. One thus obtains a generalized Kramers-Fokker-Planck equation, which retains retardation effects, i.e., nonlocal couplings in time and space. It is shown that despite this complexity, exact solutions… (More)

- S Eule, R Friedrich, F Jenko, I M Sokolov
- Physical review. E, Statistical, nonlinear, and…
- 2008

We formulate the generalized master equation for a class of continuous-time random walks in the presence of a prescribed deterministic evolution between successive transitions. This formulation is exemplified by means of an advection-diffusion and a jump-diffusion scheme. Based on this master equation, we also derive reaction-diffusion equations for… (More)

- T. Hauff, M. J. Pueschel, T. Dannert, F. Jenko
- 2009

Analytical and numerical work is used in tandem to address the problem of turbulent transport of energetic ions in magnetized plasmas. It is shown that orbit averaging is not valid under rather generic conditions, and that perpendicular decorrelation effects lead to a slow 1=E decay of the electrostatic particle diffusivity of beam ions, while the… (More)

The experimental conditions under which tokamak turbulence at hyperfine (electron gyroradius) scales is predicted to be significant and observable are described. The first quantitative predictions of fluctuation amplitudes, spectral features, and the associated electron energy transport are presented. A novel theoretical model which quantitatively describes… (More)

- Daniel Grošelj, Frank Jenko, Erwin Frey
- Physical review. E, Statistical, nonlinear, and…
- 2015

Cyclic, nonhierarchical interactions among biological species represent a general mechanism by which ecosystems are able to maintain high levels of biodiversity. However, species coexistence is often possible only in spatially extended systems with a limited range of dispersal, whereas in well-mixed environments models for cyclic competition often lead to a… (More)