Higher‐order generalized hydrodynamics of carriers and phonons in semiconductors in the presence of electric fields: Macro to nano

Publisher： John Wiley & Sons Inc

E-ISSN： 1521-3951|252|12|2802-2819

ISSN： 0370-1972

Source： PHYSICA STATUS SOLIDI (B) BASIC SOLID STATE PHYSICS, Vol.252, Iss.12, 2015-12, pp. : 2802-2819

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Abstract

AbstractThe hydrodynamics of carriers (charge and heat motion) and phonons (heat motion) in semiconductors is analyzed in the presence of constant electric fields. This is done in terms of the so‐called higher‐order generalized hydrodynamics (HOGH), also referred to as mesoscopic hydro‐thermodynamics (MHT), that is, covering phenomena involving motions displaying variations short in space and fast in time and being arbitrarily removed from equilibrium, as it is the case in modern electronic devices. The particular case of an MHT of order 1 is described, covering wire samples from macro to nano sizes. Electric and thermal conductivities are obtained. As the size decreases toward the nanometric scale, the MHT of order 1 produces results that in some cases greatly differ from those of the usual hydro‐thermodynamics. The so‐called Maxwell times associated to the different fluxes present in MHT are evidenced and analyzed; they have a quite relevant role in determining the characteristics of the motion.