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• W3100105089 startingPage "649" @default.
• W3100105089 abstract "We consider a long Lorentz tube with absorbing boundaries. Particles are injected to the tube from the left end. We compute the equilibrium density profiles in two cases: the semi-infinite tube (in which case the density is constant) and a long finite tube (in which case the density is linear). In the latter case, we also show that convergence to equilibrium is well described by the heat equation. In order to prove these results, we obtain new results for the Lorentz particle which are of independent interest. First, we show that a particle conditioned not to hit the boundary for a long time converges to the Brownian meander. Second, we prove several local limit theorems for particles having a prescribed behavior in the past." @default.
• W3100105089 created "2020-11-23" @default.
• W3100105089 creator A5017534707 @default.
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• W3100105089 date "2015-02-12" @default.
• W3100105089 modified "2023-10-14" @default.
• W3100105089 title "Nonequilibrium Density Profiles in Lorentz Tubes with Thermostated Boundaries" @default.
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• W3100105089 doi "https://doi.org/10.1002/cpa.21567" @default.
• W3100105089 hasPublicationYear "2015" @default.
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