The fusion of nuclei generates prodigious amounts of energy, as in the Sun’s core. Harnessing that energy is the primary goal of researchers who work on tokamaks—large toroidal machines in which a plasma can be confined by magnetic fields and held at high enough temperatures and densities to engender fusion. (See the article by Donald Batchelor in Physics Today, February 2005, page 35.) Yet the goal remains elusive, in no small part due to myriad instabilities that arise on a multitude of length and time scales, degrading the magnetic confinement of the hot plasmas. In the 1990s researchers discovered that sheared rotation of the plasma and a specific plasma current profile could generate so-called internal transport barriers (ITBs) that inhibit plasma transport across a magnetic surface within a tokamak. The nonlinear, multiscale physics at the heart of ITBs, however, proved to be difficult to unravel. In particular, still...

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