Statistical Physics 247
The total number of photons is
The total energy is
w 2.6 x ergs ,
(b) The Fermi momentum of the electrons is
2079
An n-dimensional universe.
In our three-dimensional universe, the following are well-known results
from statistical mechanics and thermodynamics:
(a) The energy density of black body radiation depends on the tem-
perature as TQ, where a = 4.
(b) In the Debye model of asolid, the specific heat at low temperatures
(c) The ratio of the specific heat at constant pressure to the specific
Derive the analogous results (i.e., what are 7, a and /I) in the universe
depends on the temperature as Tfl, where /I = 3.
heat at constant volume for a monatomic ideal gas is 7 = 5/3.
with n dimensions.
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