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The property of scrape-off layer (SOL) currents induced by a biased electrode is investigated by fully kinetic collisionless two-dimensional particle-in-cell (PIC) simulations.A reduced Vlasov-Darwin model is employed,which is capable of describing the low-frequency kinetic behavior without electromagnetic vacuum modes (ω2 =ωpe2+ c2k2).A linear decay distribution of electron currents parallel to the background magnetic field is exhibited.Simulation analyses indicate that the cross field ion current is a key factor in sheath formation and global current balance.The influences of electrode area,biasing voltage and plasma source on the SOL current profile are studied,respectively.Characteristic plasma parameters in the far SOL region of the EAST tokamak are used in simulations to assess the current driving ability of the electrode biasing method.Due to the limitations of computational power,the geometrical size of the simulation domain is significantly smaller than the realistic SOL,which may lead to an absence of the quasi-neutral region in the upstream plasma.At last,a heuristic method is proposed to calculate the upper bound of the total current strength.