Hi AjayaKumar,
I have seen different interpretations of self consistency depending on the context. For semiconductors equations, it usually refers to the solution obtained by a numerical method. It means that the carrier density profile is consistent with the potential, in other words, the obtained solution satisfies all the equations of your system (Poisson and continuity). The term can also refer to the way that the solution is obtained like the Gummel method. In that case, the method "automatically" cares bout the solution consistency during the process, "checking" if your carrier profile and potential satisfies the poisson and continuity equations simultaneously. If you wish, I can forwarded you some material about the Gummel's method or you can just google it.
depending on the interpretation of self-consistent, it could be that you ask for something like the Hartree Fock method. A link on wikipedia:
http://en.wikipedia.org/wiki/Hartree%E2%80%93Fock_method
Jan-Jaap
Consider the equation for magnetostatic field curl B = I and suppose that the vector of current density I has non-zero divergence. Then this equation has no solutions because of lack of self-consistence. Please, have a look at my preprint [Z. Turakulov. On applicability of the method of Green's function in Magnetostatics
Preprints Theor-Phys.org theor-phys.org/prepr/ Particles and Fields, tp-4663-01] about it.
Hi AjayaKumar,
I have seen different interpretations of self consistency depending on the context. For semiconductors equations, it usually refers to the solution obtained by a numerical method. It means that the carrier density profile is consistent with the potential, in other words, the obtained solution satisfies all the equations of your system (Poisson and continuity). The term can also refer to the way that the solution is obtained like the Gummel method. In that case, the method "automatically" cares bout the solution consistency during the process, "checking" if your carrier profile and potential satisfies the poisson and continuity equations simultaneously. If you wish, I can forwarded you some material about the Gummel's method or you can just google it.
At Zafar, please check it whether it is suitable for my question or not? anyway thank you for your consideration
Maybe, now I see from other answers that you used another meaning of "self-consistence" (physical, not in sense of differential equations).
@Bejo Duka, First of all I would like to know what is Self consistent? the how it work in the Drift-Diffusion, continuity equation? Please read once again a question understand it, if you have or can help, help me either material or note.
Thank you for your concern
Self consistency deals with a coupled solution of Schrodinger and Poisson equation.
Charge distribution is calculated from the wave functions calculated using Schrodinger equation. Next this charge distribution is put into Poisson eqn to predict the potential distribution which is again used in Sch eqn. This process is repeated with iteration and ultimately stopped when the solution converges.
It gives the actual charge as well as potential distribution inside the structure under consideration.
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