The pre-existing literature on phenomena at the mesoscopic scale is concerned
among other things with phase coherent transport. Phase coherent transport
dominates at very low temperatures. With increase in temperature, as the system
size becomes comparable to the inelastic mean free path phase incoherence sets
in. This incoherence further leads to dephasing, and as a consequence purely
quantum effects in electron transport give way to classical macroscopic
behavior. In this work we consider two distinct phenomenological models of
incoherent transport, the Coherent Absorption and Wave Attenuation models. We
reveal some physical problems in the Coherent Absorption model as opposed to
the Wave Attenuation model. We also compare our proposed model with experiments
in case of the much studied peak to valley ratios in resonant tunneling diodes,
magneto-conductance oscillations and Fano resonances in case of Aharonov-Bohm
rings.Comment: 20 pages, 9 figure