**Heat conduction across a solid-solid interface: Understanding nanoscale
interfacial effects on thermal resistance**

G Balasubramanian and IK Puri, APPLIED PHYSICS LETTERS, 99, 013116 (2011).

DOI: 10.1063/1.3607477

Phonons scatter and travel ballistically in systems smaller than the
phonon mean free path. At larger lengths, the transport is instead
predominantly diffusive. We employ molecular dynamics simulations to
describe the length dependence of the thermal conductivity. The
simulations show that the interfacial thermal resistance R-k for a Si-Ge
superlattice is inversely proportional to its length, but reaches a
constant value as the system dimension becomes larger than the phonon
mean free path. This nanoscale effect is incorporated into an accurate
continuum model by treating the interface as a distinct material with an
effective thermal resistance equal to R-k. (C) 2011 American Institute
of Physics. **doi: 10.1063/1.3607477**

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