High-frequency time-domain modeling of GaAs FETs using hydrodynamic model coupled with Maxwell's equations

The diffusive relaxation limit of non-isentropic Euler–Maxwell equations for plasmas

“…In a medium, the Euler-Maxwell system including natural collision terms is written as the following (nonconservative) form (see [1][2][3][4][5]):…”

“…In this regime, a complicated system may asymptotically be replaced by a much simpler hyperbolic or parabolic system, the behavior of the latter is either already well understood or easier to analyze. This work concerns the following scaled non-isentropic Euler-Maxwell equations for semiconductors or plasmas (see Appendix A and [1][2][3][4][5]):…”

“…There have been numerical simulations (cf. [3,5]), but the only rigorous study appears to be that made by Chen et al in [13], where a global weak solution is proved in one spatial dimension. In [2], Jerome establishes a local smooth solution theory for the Cauchy problem of compressible hydrodynamic-Maxwell systems by the modification of the classical semigroup-resolvent approach of Kato.…”

The combined relaxation and non-relativistic approximation of the drift-diffusion model

“…There have been numerical simulations 3,4 , but the only rigorous study appears to be that made by Chen etc. in Ref.…”

Electron-wave interaction in submicrometer gate field-effect transistors

“…Recently, a 3D finite-difference time domain model consisting of a solution of Maxwell's equations coupled to the hydrodynamic equations representing active device simulation has been developed [5]. The improved efficiency of numerical schemes and the advent of supercomputers allows steady-state small and large-signal operations of FET microwave devices to be investigated over several tens of picoseconds.…”