Ion temperature gradient modes in the presence of a sheared ion flow

Recently, a theory of spontaneous momentum generation due to the toroidally asymmetric excitation of ion temperature gradient (ITG) modes in the presence of a radial profile of toroidal ion velocity has been formulated [1]. We present a systematic study of the dispersion equation relevant to the electrostatic slab modes driven by an ITG perpendicular to a uniform magnetic field, in the presence of an inhomogeneous equilibrium fluid velocity of the ions.