Abstract:
In the framework of the Bogoliubov method of reduced description of nonequilibrium states, which is based on his functional hypothesis, we obtain a kinetic equation for arbitrary inhomogeneous electron states in a polar crystal in the presence of a strong electric field. Using the reduced description method, we study the equalization of velocities and temperatures of the polaron gas with a small density and the phonon subsystem in the presence of a weak electric field in the spatially homogeneous case. We establish that the nonequilibrium distribution function of a polaron differs from the Maxwell distribution even in the approximation that is linear in small differences between the subsystem velocities and temperatures. We calculate the corresponding relaxation times and polaron mobility.
Citation:
S. A. Sokolovsky, “Toward polaron kinetics in the Bogoliubov reduced description method”, TMF, 168:2 (2011), 341–357; Theoret. and Math. Phys., 168:2 (2011), 1150–1164
This publication is cited in the following 12 articles:
Sokolovsky I A., Sokolovsky S.A., Hrinishyn O.A., “On Relaxation Processes in a Completely Ionized Plasma”, East Eur. J. Phys., 2020, no. 3, 19–30
Sokolovsky S., Dikarev B., Sokolovsky A., “Mobility of Polarons in Semiconductors”, 2019 IEEE 39Th International Conference on Electronics and Nanotechnology (Elnano), IEEE, 2019, 317–321
Sergey Sokolovsky, Alexander Sokolovsky, 2019 IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON), 2019, 783
Sokolovsky S., Dikarev B., Sokolovsky A., “On Polaron Hydrodynamics With Account of Relaxation Processes”, 2018 IEEE 38Th International Conference on Electronics and Nanotechnology (Elnano), IEEE, 2018, 181–185
Sokolovsky S.A., “On Theory Nonlinear Relaxation in Polyaron Sybsystem of Polar Semiconductors”, 2017 Xxiind International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (Diped), Proceedings of the International Seminar Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, IEEE, 2017, 242–247
Lyagushyn S.F., Sokolovsky A.I., Yarlik V.V., Sokolovsky S.A., “Basic Ideas of Quantum Mechanics of Open Systems in Application to Electron and Optic Processes”, 2017 IEEE First Ukraine Conference on Electrical and Computer Engineering (Ukrcon), IEEE, 2017, 726–731
Gorev V.N., Sokolovsky A.I., “Generalization of the Grad Method in Plasma Physics”, Condens. Matter Phys., 20:2 (2017), 23001
V.N. Gorev, A.I. Sokolovsky, 2016 II International Young Scientists Forum on Applied Physics and Engineering (YSF), 2016, 112
V. N. Gorev, A. I. Sokolovsky, “Plasma kinetic coefficients with account for relaxation processes”, Int. J. Mod. Phys. B, 29:32 (2015), 1550233
Sokolovsky S.A., “On the hydrodynamics of polaron gas in the Bogolyubov reduced description method”, Problems of Atomic Science and Technology, 3rd International Conference on Quantum Electrodynamics and Statistical Physics (QEDSP), v. 1, 2012, 217–220
Sokolovsky S.A., “Hydrodynamic states of phonons in insulators”, Condens. Matter Phys., 15:4 (2012), 43007, 10 pp.
Sokolovsky S., “On theory of conductivity taking into account relaxation phenomena”, 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET), IEEE Computer Soc., 2012, 213–216
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