Effective phonon mean-free path and slip heat flow in rarefied phonon hydrodynamics

I. Carlomagno, A. Sellitto, D. Jou

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7 Citations (Scopus)


© 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.
Original languageEnglish
Pages (from-to)2652-2656
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Publication statusPublished - 23 Oct 2015


  • Effective phonon mean-free path
  • Effective thermal conductivity
  • Phonon-walls collisions
  • Silicon nanowires


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