From first principles, basing on the averaging of the equation for exact fluctuating distribution functions, the classical kinetic equation is derived for a two-dimensional electron gas (2DEG), interacting with a random potential of an external system. Using the approximation of a Fermi function with a shifted argument for the 2DEG distribution function the frequencies of energy and momentum relaxation are obtained. In the case of equilibrium external system the frequencies are expressed in terms of the dielectric functions of the 2DEG and external system. Energy and momentum relaxation frequencies of ZDEG, scattered on the three-dimensional electron gas, are calculated. 113 nepBbIX npAHUEiIIOB, MeTOnOM YCpeAHeHIlX YpaBHeHAk AJIX TOYHbIX @JIyKTyApyIoLUAX (PYHKUUfi PaCIIpeneJIeHHX, BbIBeAeHO KJIaCCAYeCKOe KHHeTAYeCKOe YpaBHeHHe Anll ABYMePHOrO 3JIeKTPOHHOTO Ta3a (2M3r), B3aAMORefiCTByWLLWO CO CJIyYaEHbIM IIOTeHUUaJIOM BHeLUHe% CUCTCMbI. B npH-6nuxeH~U @epMUeBCKOk cpyHKUAA CO CABAHYTbIM apryMeHTOM AJIX @YHKUUU paCnpeAeneHAs HakAeHbl YaCTOTbI PeJlaKCa~AEi 3HCPTHA U UMIIyJIbCa 2M3r. B CJIy'iae PaBHOBeCHOfi BHeIIIHek CUCTeMbl YaCTOTbI BbIpaXeHbI Yepe3 nkI3JIeKTPEi'ieCKEie @YHKqUA 2 M 3 r U BHeIIlHefi CUCTCMbI. PaCCYATaHbI YaCTOTbI PeJIaKCaUAU 3HeprAH A AMIlyJIbCa 2 M 3 r npU PaCCeRHUki Ha IIOJIyOrpaHAYeHHOM TpeXMepHOM 3JleKTPOHHOM Ta3e.
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