Concepedia

On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement

Thomas Koprucki, Nella Rotundo, Patricio Farrell, Duy Hai Doan, Jürgen Fuhrmann

Optical and Quantum Electronics · 2014 · 31 citations · 12 references

Concepts

EngineeringPhysicsDifferential EquationsThermodynamicsTransport PhenomenaBoltzmann Transport EquationDiffusion In SolidsDiffusion ProcessesHeat ConductionHeat Transfer ModelingStochastic Differential EquationsDrift-diffusion ModelingNon-equilibrium Thermal TransportThermal DiffusionThermodynamic ConsistencyThermodynamic Consistency TestingThermodynamic Relationships

References

12

Large-signal analysis of a silicon Read diode oscillator

D.L. Scharfetter, H.K. Gummel · IEEE Transactions on Electron Devices · 1969 · 2.2K citations

Engineering, Electrical Engineering, Microelectronics +16

Some Error Estimates for the Box Method

Randolph E. Bank, Donald J. Rose · SIAM Journal on Numerical Analysis · 1987 · 462 citations

Computing, Computational Engineering, Computational Mechanics +11

An asymmetrical finite difference network

Richard H. MacNeal · Quarterly of Applied Mathematics · 1953 · 188 citations · Full text

Computing, Electrical Engineering, Topology +4

Effect of Gaussian disorder on the voltage dependence of the current density in sandwich-type devices based on organic semiconductors

S. L. M. van Mensfoort, R. Coehoorn · Physical Review B · 2008 · 176 citations · Full text

Engineering, Electrical Engineering, Materials Science +17

A finite volume scheme for convection–diffusion equations with nonlinear diffusion derived from the Scharfetter–Gummel scheme

Marianne Bessemoulin‐Chatard · Numerische Mathematik · 2012 · 97 citations · Full text

Natural Sciences, Mathematics, Physics +15