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We develop a classical kinetic theory of magnetotransport of 2D electrons innarrow channels with partly diffusive boundary scattering and apply it todescription of magnetoresistance measured in the temperature interval 4.2-30 Kin long mesoscopic bars fabricated from high-purity GaAs quantum wellstructures. Both experiment and theory demonstrate a number of characteristicfeatures in the longitudinal and Hall resistances caused by the size effect intwo dimensions owing to the high ballisticity of the transport. In addition tothe features described previously, we also reveal a change in the slope of thefirst derivative of magnetoresistance when the cyclotron orbit diameter equalsto half of the channel width. These features are suppressed with increasingtemperature as a result of the electronic viscosity due to electron-electroninteraction. By comparing theory and experiment, we determine thecharacteristic time of relaxation of angular distribution of electrons causedby electron-electron scattering.

Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment