Low Temperature Limit
The temperature of a Debye solid is said to be low if, leading to
This definite integral can be evaluated exactly:
In the low temperature limit, the limitations of the Debye model mentioned above do not apply, and it gives a correct relationship between (phononic) heat capacity, temperature, the elastic coefficients, and the volume per atom (the latter quantities being contained in the Debye temperature).
Read more about this topic: Debye Model
Famous quotes containing the words temperature and/or limit:
“This pond never breaks up so soon as the others in this neighborhood, on account both of its greater depth and its having no stream passing through it to melt or wear away the ice.... It indicates better than any water hereabouts the absolute progress of the season, being least affected by transient changes of temperature. A severe cold of a few days’ duration in March may very much retard the opening of the former ponds, while the temperature of Walden increases almost uninterruptedly.”
—Henry David Thoreau (1817–1862)
“Washington has seldom seen so numerous, so industrious or so insidious a lobby. There is every evidence that money without limit is being spent to sustain this lobby.... I know that in this I am speaking for the members of the two houses, who would rejoice as much as I would to be released from this unbearable situation.”
—Woodrow Wilson (1856–1924)