The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
It appears then that the temperature concept is not a clean cut thing,
which can be made to apply to all experience, but that it is more or
less arbitrary, involving the scale of our measuring instruments. In any
special case, the meaning of the temperature concept must be set by
special convention. In practice this does not often make difficulty,
because in the majority of cases there is no large scale motion with
respect to the thermometers.
Consider now the other aspect of the equilibrium problem suggested by
the thermometers with blackened and silvered bulbs in the sunshine. Our
common experience tells us how to deal with this situation effectively
enough for ordinary purposes. We recognize that the possibility of
temperature equilibrium is disturbed by the radiation, and we protect
the bulbs of the thermometers from the sun's radiation by appropriate
shields. But this only minimizes the difficulty. For the shield is
warmed by the sun, and in turn warms to a less degree by its radiation
the bulb of the thermometer within. We must recognize that every body,
no matter what its temperature, is always emitting radiation, so that
the bulb of our thermometer is always in a radiation field. At first
this puts us in a serious quandary as to the whole question of
equilibrium and the meaning of temperature. The situation is saved by
the experimental observation that there is a particular radiation field
which affects all thermometers equally, namely, the field inside an
infinite body all at the same temperature. Logically this looks like the
vicious circle again, for we have not yet defined what we mean by the
same temperature. But actually we avoid the circle here, as in so many
other physical cases, by a process of asymptotic approximation. The
procedure is perhaps something like this: we find that if we experiment
with larger and larger bodies, isolated and at great distances from
other bodies at approximately the same temperature as judged by crude
physiological sensations, two thermometers, identical except that the
bulb of one is blackened and that of the other is silvered, record more
nearly the same temperature as time goes on and as the thermometers are
sunk to greater depths in the body. In actual practice, of course, the
radiational opacity of most bodies is so high that these precautions
against the effects of external radiation can usually be entirely
ignored. At high temperatures, on the other hand, radiation has to be
explicitly dealt with.
The conclusion for us from these considerations is that operationally
the concept of temperature is tied up with that of radiation--the
equilibrium concept of temperature is strictly never exactly applicable;
it is only a limiting sort of concept applicable when the radiation
field is of a special sort, namely, that of a black body.
Public-domain text, read in full here on John Shaqi.
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