A brief review is given on a crossover in transport between quantum and classical regimes due to the presence of inelastic scattering destroying the phase coherence. In the integer quantum Hall effect, the quantum regime corresponds to the edge-current picture and the classical to the bulk Hall current picture. The crossover between two regimes occurs through inelastic scattering. In a metallic carbon nanotube, there is a perfectly transmitting channel independent of energy for conventional scatterers having potential range larger than the lattice constant, making the nanotube a perfect conductor. When several bands coexist at the Fermi level, such a perfect channel is destroyed by inelastic scattering.