Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Effect of Surface Roughness on the Universal Thermal Conductance   We explain the reduction of the thermal conductance below the predicted
universal value observed by Schwab et al. in terms of the scattering of thermal
phonons off surface roughness using a scalar model for the elastic waves. Our
analysis shows that the thermal conductance depends on two roughness
parameters: the roughness amplitude $\delta $ and the correlation length $a$.
At sufficiently low temperatures the conductance decrease from the universal
value quadratically with temperature at a rate proportional to $\delta ^{2}a$.
Values of $\delta$ equal to 0.22 and $a$ equal to about 0.75 of the width of
the conduction pathway give a good fit to the data.

23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin