"$Withionmove" 修訂間的差異

於 2019年8月18日 (日) 11:15 的修訂

When the system has ion to perform as drift-diffusion equations, we solve the time dependent drift-diffusion for slow ion move simulation. Since the ion moves may not be governed fermi-level concept. We simply treat is a tradiational drift-diffusion equations.

 $\frac{\partial M_{ion}}{\partial t} = \nabla \left( (q_{sign}) e\mu M_{ion} \vec{E} - q D_{M} \nabla M_{ion} \right)$

Ideally, the ion density is given by initial setting. The total ion number should be fixed. The program is aim to model multi-ions drift-diffusion. The command is as following.

$Withionmove
 $N_sweep$   $N_output$ 
 $T_{1,stop}$    $dt_{1}$   $T_{2,stop}$    $dt_{2}$  ...  $T_{N_{sweep},stop}$    $dT_{M_{sweep}}$ 
 $N_{ions} ~~ q_{sign,1} ~~ q_{sign,2} ~~ q_{sign,3} ....~~ q_{sign,N_{ions}}$ 
 $Parameter_{type,1} ~~ M_{ions,1} \mu$  p3 p4 Parameters of the 1 layer
 $Parameter_{type,2} ~~ M_{ions,2} \mu$  p3 p4 Parameters of the 2 layer
 $Parameter_{type,3} ~~ M_{ions,3} \mu$  p3 p4 Parameters of the 3 layer
 ....
 $Parameter_{type,N} ~~ M_{ions,N} \mu$  p3 p4 Parameters of the $totalregion layer

For example: Consider 2 ions, 1st is negative charges, 2nd is positive charges, total 5 Regions we can

$Withionmove
1 1000
1.00  1.0d-4 
2 -1.0 1.0
1 0.0e17 0.0      0.0e17 0.0   
1 1.0e17 1.0e-11  2.0e17 1.0e-12
1 1.0e17 1.0e-11  2.0e17 1.0e-12
1 1.0e17 1.0e-11  2.0e17 1.0e-12
1 1.0e17 1.0e-11  2.0e17 1.0e-12

 $Parameter_{type,1}$ :  it depends on ion number  $N_{ions}$ 
1:  $M_{ions,1}, ~~~\mu$   $M_{ions,2}, ~~~\mu$   $M_{ions,N_{ions}}, ~~~\mu$

@@ 行 25： / 行 25： @@
 1.0e17 1.0e-11  2.0e17 1.0e-12
 1.0e17 1.0e-11  2.0e17 1.0e-12
+ <math>Parameter_{type,1}</math>:  it depends on ion number <math> N_{ions}</math>
+: <math> M_{ions,1}, ~~~\mu </math> <math> M_{ions,2}, ~~~\mu </math> <math> M_{ions,N_{ions}}, ~~~\mu </math>

"$Withionmove" 修訂間的差異

於 2019年8月18日 (日) 11:15 的修訂

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