I am trying to implement PIC-code for the field emission simulation. According to PIC loop particles injected after calculation of charge density. But I stuck at the problem that at some points of an emitter a field could be accelerative but not strong enough to produce a charge that at least is not lesser than the electron's charge. What should be done in this situation? Macroparticle should not be injected and charge density at these points should be equal to zero or there is some condition that I am missing?
If you don't have the condition to inject a full macroparticle at the given point, there is several things that you can do:
1. Gather charge in every step and when the condition is fulfilled (gathered charge >= macroparticle charge) create a particle.
2. Create macroparticle in every step based on some random number, that way in the long run you will have the average value correct.
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