6533b82bfe1ef96bd128d7d9
RESEARCH PRODUCT
Two-dimensional phononic thermal conductance in thin membranes in the Casimir limit
Ilari Maasiltasubject
Phononta221FOS: Physical sciencesGeneral Physics and Astronomy02 engineering and technology01 natural scienceslaw.inventionThermal conductivitylawMesoscale and Nanoscale Physics (cond-mat.mes-hall)0103 physical sciencesLimit (mathematics)010306 general physicsPhysicsCondensed Matter - Mesoscale and Nanoscale Physicsta114Condensed matter physicsPhonon scatteringScatteringBolometer021001 nanoscience & nanotechnologyThermal conductionlcsh:QC1-999Casimir effect0210 nano-technologylcsh:Physicsdescription
We discuss computational analysis of phononic thermal conduction in the suspended membrane geometry, in the experimentally commonly appearing case where heat can flow out radially in two dimensions from a central source. As we are mostly interested in the low-temperature behavior where bulk scattering of phonons becomes irrelevant, we study the limit where all phonon scattering takes place at the membrane surfaces. Moreover, we limit the discussion here to the case where this surface scattering is fully diffusive, the so called Casimir limit. Our analysis shows that in the two-dimensional case, no analytic results are available, in contrast to the well known 1D Casimir limit. Numerical solutions are presented for the temperature profiles in the membrane radial direction, for several different membrane thicknesses. Our results can be applied, for example, in the design of membrane-supported bolometric radiation detectors.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-12-01 | AIP Advances |