Electron diffusion model of semiconductor p-n junction (diode) – where is the classical-quantum boundary?

Abstract: There is a basic question of what stationary probability distribution should we expect, e.g. for [0,1] range: standard uniform rho=1, or maybe quantum rho~sin2 ? Experiments show that, at least for electrons and neutrons, we should use the latter - bringing difficult open question where is the classical-quantum boundary? We will discuss Maximal Entropy Random Walk (MERW)-based diffusions, allowing to understand and repair inconsistency between predictions of these two approaches. While standard diffusion turns out to only approximate the (Jaynes) maximal entropy principle, MERW really maximizes it – leading to stationary probability distribution exactly as quantum ground state, with Anderson-like localization. Including mean-field self-interaction between electrons, there was obtained proper asymmetric non-linear Ohm law for model of semiconductor p-n junction (diode) — with conductance easy only in one direction.

mathematical physicsgeneral physicsquantum physics

Audience: researchers in the topic

( paper | slides )

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QM Foundations & Nature of Time seminar

Series comments: Description: Physics foundations discussion seminar

Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT

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