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PD in insulation

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Hello

I want model the partial discharge (PD) in insulation , my geometry is insulation( rectangular) between two electrode with one void inside the insulation. I want model PD inside the void. or breakdown inside the void. anyway some problem that I faced is:
1: the conductivity of the void should be change while the electric field is increasing and then at certain value we will have breakdown, so how I can set the conductivity changeable with voltage and electric field? I have to use PDE form?
for example: S= V*e^(U/U0)*E during discharge and otherwise S=S0 , how can i define this in comsol?
2: can we combine 2 physics together such as electrostatic and PDE?

any help would be appreciated

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