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How is the Monte Carlo method applied to electron emission phenomena?

In my lab, we're simulating field emission for a novel cathode design. The underlying physics like tunneling probabilities and secondary emission yields are inherently stochastic. I know Monte Carlo methods are the go-to for such problems, but I'm seeking a clearer conceptual bridge on how to effectively translate the physical emission models into a robust computational sampling framework.

 

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By Shobha Answered 5 years ago

Yes, it's a classic and powerful application. I've recommended this approach for modeling field, thermionic, and secondary emission. You start by defining the core probability distributions from your physics: the Fowler-Nordheim tunneling probability for field emission, the Boltzmann tail for thermionic, or the yield distribution for secondaries. Your Monte Carlo engine then samples these distributions using random numbers to decide, for each simulated electron, if emission occurs and with what initial energy and angle. I have seen this method beautifully handle complex, cumulative processes like electron cascade growth in multipliers, where deterministic tracking becomes impossible.

 

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