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Boltzmann Transport in Nanostructures as a Friction Effect. - PubMed - NCBI
Ferry , Stephen M. Goodnick , Jonathan Bird. Please enter a valid email address Email already added. Actions for selected content:. Please be advised that item s you selected are not available. Your Kindle email address Please provide your Kindle email.
Boltzmann Transport in Nanostructures as a Friction Effect.
Get access Check if you have access via personal or institutional login. Ferry decay defined density dependence device diagrams dielectric diffusive diffuson dimensions discussed distribution function effects equation experimental factor Fermi energy flux frequency GaAs gate bias gate voltage given Green's function Hamiltonian impurity scattering inelastic integral interface Landau level lattice layer leads Lett longitudinal magnetic field matrix element measured mesoscopic modes momentum nanostructures oscillations particle peak perturbation phase coherence length phase-breaking phonon Phys point contact polarization propagator quantization quantum dot quantum point contact quantum wire regime region resistance result sample self-energy semiconductor shown in Fig single electron solution structure subband summation thermal transmission coefficient transport transverse tunnel junctions two-dimensional universal conductance fluctuations vector wavefunction waveguide wavevector weak localization width zero.
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Binding and Scattering in Two-Dimensional Systems: Surface scattering is the key limiting factor to thermal transport in dielectric crystals as the length scales are reduced or when temperature is lowered. To explain this phenomenon, it is commonly assumed that the mean free paths of heat carriers are bound by the crystal size and that thermal conductivity is reduced in a manner proportional to such mean free paths. We show here that these conclusions rely on simplifying assumptions and approximated transport models.
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Instead, starting from the linearized Boltzmann transport equation in the relaxon basis, we show how the problem can be reduced to a set of decoupled linear differential equations. Then, the heat flow can be interpreted as a hydrodynamic phenomenon with the relaxon gas being slowed down in proximity of a surface by friction effects, similar to the flux of a viscous fluid in a pipe.