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Latest News
Can hydrogen be the transportation fuel in an otherwise nuclear economy?
Let’s face it: The global economy should be powered primarily by nuclear power. And it probably will by the end of this century, with a still-significant assist from renewables and hydro. Once nuclear systems are dominant, the costs come down to where gas is now; and when carbon emissions are reduced to a small portion of their present state, it will become obvious that most other sources are only good in niche settings. I mean, why use small modular reactors to load-follow when they can just produce that power instead of buffering it?
R. Balescu
Fusion Science and Technology | Volume 33 | Number 2 | March 1998 | Pages 192-206
Transport in Tokamaks | doi.org/10.13182/FST98-A11947010
Articles are hosted by Taylor and Francis Online.
The methods of modern theory of stochastic processes appear to provide a useful tool for transport theory in magnetized plasmas. The Langevin equation formalism provides important, but limited information about diffusive processes. A quite promising new approach to modelling complex situations, such as transport in incompletely destroyed magnetic surfaces, is provided by the theory of Continuous Time Random Walks (CTRW), which is presented in some detail. A test problem is discussed in detail: transport of particles in a fluctuating magnetic field, in the limit of infinite perpendicular correlation length. The well-known subdiffusive behavior of the Mean Square Displacement (MSD), proportional to t1/2, is recovered by a CTRW, but the complete density profile is only recovered under some additional conditions. The quasilinear approximation of the kinetic equation has the form of a non-markovian diffusion equation and can thus be generated by a CTRW. Finally, a new iterative map, called “tokamap” is presented and its relation to transport and CTRW is displayed.