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Statistical Stability for Transport in Random

Issn: 942
Compatible With :
Sub Title Random Media
published Date 2019-06-14 00:00:00

Description

We go back to the analysis of the transport of classical or quantum particles in time dependent random media as proposed in F. Poupaud and A. Vasseur, 9, 82 2003, pp.711, where the convergence of the expectation of solutions of the Liouville equation resp., Wigner equation to the solution of the Fokker Planck equation resp., Boltzmann equation is established. Here we show that the convergence holds in probability. This result relies on certain scale separation properties of the scaling, as indicated by several counterexamples.