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International audienceThe non-linear evolution of a magnetic island is studied using the ă Vlasov gyro-kinetic code GKW. The interaction of electromagnetic ă turbulence with a self-consistently growing magnetic island, generated ă by a tearing unstable Delta' > 0 current profile, is considered. The ă turbulence is able to seed the magnetic island and bypass the linear ă growth phase by generating structures that are approximately an ion ă gyro-radius in width. The non-linear evolution of the island width and ă its rotation frequency, after this seeding phase, is found to be ă modified and is dependent on the value of the plasma beta and ă equilibrium pressure gradients. At low values of beta the island evolves ă largely independent of the turbulence, while at higher values the ă interaction has a dramatic effect on island growth, causing the island ă to grow exponentially at the growth rate of its linear phase, even ă though the island is larger than linear theory validity. The turbulence ă forces the island to rotate in the ion-diamagnetic direction as opposed ă to the electron diamagnetic direction in which it rotates when no ă turbulence is present. In addition, it is found that the mode rotation ă slows as the island grows in size

The non-linear evolution of the tearing mode in electromagnetic turbulence using gyrokinetic simulations