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A new statistical model for the combined effects of decoherence, energyredistribution and dissipation on electron transport in large quantum systemsis introduced. The essential idea is to consider the electron phase informationto be lost only at randomly chosen regions with an average distancecorresponding to the decoherence length. In these regions the electron's energycan be unchanged or redistributed within the electron system or dissipated to aheat bath. The different types of scattering and the decoherence leave distinctfingerprints in the energy distribution functions. They can be interpreted as amixture of unthermalized and thermalized electrons. In the case of weakdecoherence, the fraction of thermalized electrons show electrical and thermalcontact resistances. In the regime of incoherent transport the proposed modelis equivalent to a Boltzmann equation. The model is applied to experiments withcarbon nanotubes. The excellent agreement of the model with the experimentaldata allows to determine the scattering lengths of the system.

Nonequilibrium distribution functions in electron transport: Decoherence, energy redistribution and dissipation