檢視 $Withionmove 的原始碼

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. 
<br>
 <math> \frac{\partial M_{ion}}{\partial t} = \nabla \left( (q_{sign}) e\mu M_{ion} \vec{E} - q D_{M} \nabla M_{ion} \right) + G*n(r) -  R*M_{ion} </math>

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. 
 $Withionmove
 <math> N_{sweep} </math> <math> N_{output}</math>
 Sweep_type_1  <math>T_{1,stop}</math>  <math>dt_{1}</math> P1 P2 P3 P4 P5 ...
 Sweep_type_1  <math>T_{2,stop}</math>  <math>dt_{2}</math> P1 P2 P3 P4 P5 .. 
  ... 
  ...
 Sweep_type_N_{sweep  <math>T_{N_{sweep},stop}</math>  <math>dT_{M_{sweep}}</math>  P1 P2 P3 P4 P5 ..
 <math> N_{ions} ~~ q_{sign,1} ~~ q_{sign,2} ~~ q_{sign,3}  ....~~ q_{sign,N_{ions}} </math>
 <math> P_{type,1} ~~ M_{ions,1}~~ \mu </math> p3 p4 Parameters of the 1 layer
 <math> P_{type,2} ~~ M_{ions,2}~~  \mu </math> p3 p4 Parameters of the 2 layer
 <math> P_{type,3} ~~ M_{ions,3}~~  \mu </math> p3 p4 Parameters of the 3 layer
  ....
  .....
 <math> P_{type,N} ~~ M_{ions,N} \mu </math> p3 p4 Parameters of the [[$totalregion]] layer

 <math> N_{sweep} </math>: The number of runs for the time step
 <math> N_{output}</math>: The number of output results for each run
 Sweep_type:
 1: constant voltage, P1 to P5 is not used
 2: Sweep Vg during this time period P1=Vgstart, P2=Vgend, P3=swdt of each step  (step Number=  <math>T_{1,stop}/swdt</math>
 3: Sweep Vd during this time period P1=Vdstart, P2=Vdend, P3=swdt of each step 
 4,5,6.... leave for future use
 <math>T_{1,stop}</math> : The time for the first run. <math>T_{2,stop}</math>The time for the 2nd run. 
 <math>dt_{1}</math> is the <math>\delta t</math> for each sweep. 
 <math> N_{ions} </math> How many ions are considered. If we only want to consider 1 negative ion,we can put 1
 <math> q_{sign} </math> The sign of ions. only accept <math> \pm 1.0 </math>

For example: Consider 2 ions, 1st is negative charges, 2nd is positive charges, total 5 Regions we can
 $Withionmove
 3 1000
 1 1.00  1.0d-4 
 3 1.00  1.0d-4 0.0 1.0 0.02  
 1 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

 <math>P_{type,1}</math> is the parameter type:  it depends on ion number <math> N_{ions}</math>
 1: <math> M_{ions,1} ~~~\mu </math>, <math> M_{ions,2} ~~~\mu </math>,........ <math> M_{ions,N_{ions}}, ~~~\mu_{N_{ions}}</math>
 2: <math> M_{ions,1} ~~~\mu ~ D_{M}</math>, <math> M_{ions,2} ~~~\mu~~D_{M} </math>,........ <math> M_{ions,N_{ions}}, ~~~\mu_{N_{ions}}~~ D_{M}</math>
 3: <math> M_{ions,1} ~~~\mu ~ ~~ R ~~G </math>, <math> M_{ions,2} ~~~\mu ~~ R_{2} ~~G_{2}  </math>,........ <math> M_{ions,N_{ions}}, ~~~\mu_{N_{ions}}~~  ~~ R_{N} ~~G_{N}</math>
 4: <math> M_{ions,1} ~~~\mu ~ D_{M} ~~ R ~~G </math>, <math> M_{ions,2} ~~~\mu~~D_{M} ~~ R_{2} ~~G_{2}  </math>,........ <math> M_{ions,N_{ions}}, ~~~\mu_{N_{ions}}~~ D_{M}  ~~ R_{N} ~~G_{N}</math>
 5: <math> M_{ions,1} ~~~\mu ~ ~~ R ~~G </math>, <math> M_{ions,2} ~~~\mu ~~ R_{2} ~~G_{2}  </math>,........ <math> M_{ions,N_{ions}}, ~~~\mu_{N_{ions}}~~  ~~ R_{N} ~~G_{N}</math>

  <math>P_{type,1}: </math>
  <math>P_{type,1} = 1 </math>
  When type 1 is chosen, we only put mobility <math> \mu </math>, and the diffusion coefficient <math> D_{M} </math> is calculated with Einstein relation, where 
  <math> D_{M} = \mu k_{B} T / q</math>

   <math>P_{type} = 2 </math>
   When type 2 is chosen, the diffusion coefficient is given by input
 
   <math>P_{type} = 3 </math>
   For type==3, the ion mobility, quench term for R, Generation term for G is provided. 
   <math> D_{M} = \mu k_{B} T / q</math>
 
   <math>P_{type} = 4 </math>
   For type==4, the ion mobility, diffusion coefficients, quench term for R, Generation term for G is provided. 

   <math>P_{type} = 5 </math>
   For type==5, the ion mobility,  quench term for R, Generation term for G is provided. 
   <math> D_{M} = \mu k_{B} T / q</math>
   The initial ion density is provided by traps in the steady state calculation. 


<br>'''<big><big>The $Withionmove setting in GUI interface is here</big></big>''' <br>
1. After setting up the general structure, press '''Additional Functions'''.<br>
2. Check the box for '''Ion diffusion''' and press it to load the setting fields.<br>
3. Press '''Edit the parameters''' and enter the value for each region, or we can input them directly in the fields on the right. There are 5 parameter types.<br>
[[檔案:2D_Withionmove_fig1.jpg|1200px]]<br><br>
[[檔案:2D_Withionmove_fig2.jpg|1200px]]<br><br>
4. Press '''Add time sweep''' and fill in the fields for related setting. There are 3 Sweep time types.<br>
[[檔案:2D_Withionmove_fig3.jpg|1200px]]<br><br>
[[檔案:2D_Withionmove_fig4.jpg|1200px]]<br><br>
5. Fill in these fields as needed!<br>
[[檔案:2D_Withionmove_fig5.jpg|1200px]]<br><br>



See related commands <br>
 Related commands: [[$Withionmove]] [[$IonMovewithPoisson]] [[*.time_ion]]