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Solving Poisson's equation in Electrostatics module with potential-dependent charge

Posted Mar 18, 2017, 6:24 a.m. EDT Modeling Tools & Definitions, Parameters, Variables, & Functions Version 5.1 0 Replies

Ton Nguyen
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Hi, I would like to approximate a 2D electron gas by solving Poisson's equation as shown in the attachment. Basically, the charge everywhere is initially zero, unless somewhere the potential becomes larger than E_0. A charge then appears which we derive from the Thomas-Fermi approximation and this has to be plugged back in to find a self-consistent solution.

Could anyone give me a pointer on how to achieve this? Thanks!
0 Replies Last Post Mar 18, 2017, 6:24 a.m. EDT
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