Zheng, B.C.B.C.ZhengWang, K.K.WangGrotjohn, T.T.GrotjohnSchuelke, T.T.SchuelkeFan, Q.H.Q.H.Fan2022-03-062022-03-062019https://publica.fraunhofer.de/handle/publica/26007110.1088/1361-6595/ab419d2-s2.0-85073221051In low-pressure capacitively coupled discharges, a heating mode transition from a pressure-heating dominated state to an Ohmic-heating dominated state is known by applying a small transverse magnetic field. Here we demonstrate via particle-in-cell simulations and a moment analysis of the Boltzmann equation that the enhancement of Ohmic heating is induced by the Hall current in the ${\boldsymbol{E}}\times {\boldsymbol{B}}$ direction. As the magnetic field increases, the Ohmic heating in the ${\boldsymbol{E}}\times {\boldsymbol{B}}$ direction dominates the total electron power absorption. The Ohmic heating induced by the Hall current can be well approximated from the Ohmic heating of unmagnetized capacitively coupled discharges.en530journal article