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A kinetic model describing the energy deposition of fast electrons is established by considering both binary collisions and contributions due to collective process. The collision term is exactly simplified by taking into account relativistic effects within the context of fast ignition, and the explicit formulation of relativistic kinetic equation in three-dimensional momentum space is obtained with the help of spherical harmonic expansion. The corresponding numerical code is developed and benchmarked physically. Typical case studies in fast ignition are also presented

Kinetic model for energy deposition in fast ignition