Effect of magnetic shear on E x B instability in collisional inhomogeneous plasma

The cross field instability is pervasive in all electromagnetic system. Here we have considered a sheared magnetic field to study the ExB instability which is observed in the internal transport barrier of fusion machines like Tokamak etc. The benefits of shear for tokamak is to improve the confinement and also the transport reduction. The fundamental physics involved in transport reduction is the synergistic effect of ExB shear in the growth, radial extent and phase correlation of turbulent eddies in the plasma. Magnetic shear can extenuate the potentially harmful effects of ExB shear and reinforced the turbulent stabilization. Here we have investigated the behavior of collisional plasma in the presence of sheared magnetic field. Magnetic shear stabilization requires a shear length comparable to or less than density gradient length