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Hall effect thrusters (HETs) are one of the developed electric devices for space propulsion since the late 1960s. Great technological and scientific advances in this domain have been achieved. Nevertheless, the physics involved is not completely mastered. One of the unknowns is the cross-field electron mobility in the EtimesB thruster configuration: classical electron mobility is not sufficient to explain thruster general performance. One of the most convincing theories is the presence of an azimuthal turbulence that is responsible for the so-called ldquoanomalous transport.rdquo The aim of this paper is to shed light on the ldquoanomalous transportrdquo through a study of electron trajectories in a HET.