Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radial phononic thermal conductance in thin membranes in the Casimir
  limit: Design guidelines for devices   In a previous publication, we discussed the formalism and some computational
results for phononic thermal conduction in the suspended membrane geometry for
radial heat flow from a central source, which is a common geometry for some
low-temperature detectors, for example. We studied the case where only
diffusive surface scattering is present, the so called Casimir limit, which can
be experimentally relevant at temperatures below $\sim$ 10 K in typical
materials, and even higher for ultrathin samples. Here, we extend our studies
to much thinner membranes, obtaining numerical results for geometries which are
more typical in experiments. In addition, we interpret the results in terms of
a small signal and differential thermal conductance, so that guidelines for
designing devices, such as low-temperature bolometric detectors, are more
easily obtained. Scaling with membrane dimensions is shown to differ
significantly from the bulk scattering, and, in particular, thinning the
membrane is shown to lead to a much stronger reduction in thermal conductance
than what one would envision from the simplest bulk formulas.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs