© 2015 Elsevier B.V. All rights reserved. Non-local effects in generalized heat-transport equations provide a mesoscopic approach to phonon hydrodynamics. In contrast to usual phonon hydrodynamics with non-slip heat flow, we consider, in analogy to rarefied gas dynamics, a slip heat flow along the walls. This way the effective thermal conductivity behaves as Kn-1 instead of as Kn-2, which is the behavior in usual phonon hydrodynamics, Kn being the Knudsen number, i.e., the ratio between the mean-free path of the heat carriers and a characteristic size of the system. Here we revisit previous formulations to provide a more explicit and clearer interpretation of the differences between the effective mean-free path in the non-local term of the generalized transport equation for q, and that in the thermal conductivity.
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 23 Oct 2015|
- Effective phonon mean-free path
- Effective thermal conductivity
- Phonon-walls collisions
- Silicon nanowires