cordial greeting community
I am currently working on the development and simulation of a semiconductor diode, and I am not aware of how to generate the equations that properly govern the physical behavior of the semiconductor diode.
My question is how to generate this equation from the beginning, from mathematical operators available in Elmer. This equation is described mathematically as follows:
– ∇ ⋅ ( ε ∇ ψ ) = q ( p – n + N )
– ∇ ⋅ J n = – qRSRH
– ∇ ⋅ J p = qRSRH
These equations contain the following variables:
• ψ indicates electrostatic potential
• q equals the elementary charge
• p and n are the hole and electron concentrations, respectively
• N represents the fixed charge associated with ionized donors
You can express the electron and hole current densities, J n and J p , in terms of ψ, n
and p:
J n = – qnμ n ∇ ψ + qD n ∇ n
J p = – qpμ p ∇ ψ – qD p ∇ p
where μ n and μ p are the carrier mobilities, and D n and D p are the carrier diffusivities.
I would greatly appreciate your contributions !
how to generate solver ?
Re: how to generate solver ?
Hi,
you can find information on solver creation in Elmer in the Solver Manual and in the Programmer's Tutorial.
HTH,
Matthias
you can find information on solver creation in Elmer in the Solver Manual and in the Programmer's Tutorial.
HTH,
Matthias
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Re: how to generate solver ?
Hi julilo
This is still relevant:
viewtopic.php?f=15&t=2990&p=17853&hilit=ModelPDE#p9292
Do you have any idea whether your system can be solved weakly coupled or as a monolithic system?
-Peter
This is still relevant:
viewtopic.php?f=15&t=2990&p=17853&hilit=ModelPDE#p9292
Do you have any idea whether your system can be solved weakly coupled or as a monolithic system?
-Peter