With use of laser-induced fluorescence in the Caltech Encore tokamak, anomalously fast (40×classical) ion heating has been observed and found to correlate with the presence of large-amplitude drift-Alfvén waves. Using numerical simulations we demonstrate that the heating is stochastic and occurs when ion displacement due to polarization drift becomes comparable to the perpendicular wavelength, i.e., when $k_{\perp }^2$φ̃/${\omega }_{\mathrm{ci}}$$B_0$≃1. Stochastic heating may also be the cause of the anomalously high ion temperatures observed in reverse-field pinches.

• Received 23 April 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.1436