Particle-in-Cell simulations of electron spin effects in plasmas
  We have here developed a particle-in-cell code accounting for the magnetic dipole force and for the magnetization currents associated with the electron spin. The electrons is divided into spin-up and spin-down populations relative to the magnetic field, where the magnetic dipole force acts in opposite directions for the two species. To validate the code, we have studied the wakefield generation by an electromagnetic pulse propagating parallel to an external magnetic field. The properties of the generated wakefield is shown to be in good quantitative agreement with previous theoretical results. Generalizations of the code to account for more quantum effects is discussed 
G. Brodin, A. Holkundkar, M. Marklund
physics.plasm-ph hep-ph