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Using theoretical arguments, a simple scaling law for the size of theintrinsic rotation observed in tokamaks in the absence of momentum injection isfound: the velocity generated in the core of a tokamak must be proportional tothe ion temperature difference in the core divided by the plasma current,independent of the size of the device. The constant of proportionality is ofthe order of $10\,\mathrm{km \cdot s^{-1} \cdot MA \cdot keV^{-1}}$. When theintrinsic rotation profile is hollow, i.e. it is counter-current in the core ofthe tokamak and co-current in the edge, the scaling law presented in thisLetter fits the data remarkably well for several tokamaks of vastly differentsize and heated by different mechanisms.

Scaling of spontaneous rotation with temperature and plasma current in tokamaks