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Fusion Science and Technology
Latest News
Smarter waste strategies: Helping deliver on the promise of advanced nuclear
At COP28, held in Dubai in 2023, a clear consensus emerged: Nuclear energy must be a cornerstone of the global clean energy transition. With electricity demand projected to soar as we decarbonize not just power but also industry, transport, and heat, the case for new nuclear is compelling. More than 20 countries committed to tripling global nuclear capacity by 2050. In the United States alone, the Department of Energy forecasts that the country’s current nuclear capacity could more than triple, adding 200 GW of new nuclear to the existing 95 GW by mid-century.
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.