DOC.
14
89
the radiation
may
be
considered
as
the
most
disordered
process
imaginable.2
He
found
~Ev
=
SvPv
[14]
Ev
is here the
mean energy
of
a
resonator
with the
proper
frequency
v
(per
oscillation
component),
L
the
velocity
of light,
v
the
frequency,
and
pvdv
the
energy
per
unit
volume
of that
part
of the radiation
whose frequency
lies
between
v
and
v +
dv.
If,
on
the
whole,
the radiation
energy
of
frequency
v
does not
con-
tinually decrease
or
increase,
we
must
have
f1
-1
=
\
•
R
8lfV2
m K
=
If
~W
1
•
[15]
2This
assumption
can
be
formulated
as
follows.
We
expand
the
Z-component
of
[12]
the electrical force
(Z)
at
an
arbitrary
point
of the
space
considered in
a
time interval
between
t
=
0
and t
=
T (where
T
shall denote
a
time
period
that is
very
large
relative
to
all
pertinent oscillation
periods)
in
a
Fourier series
V=oo
Z
= ^
ky
sin(2jz/
j
+
ay)
,
v-\
where
Av
0
and
0
av
2t.
If
one
imagines
that
at
the
same
point
in
space
such
an
expansion
is
made
arbitrarily
often
at
randomly
chosen
initial
points
of
time, then
one
will
obtain different
sets
of values for the
quantities
Av
and
av.
For
the
frequency of
occurrence
of
the various
combinations of values
of
the quantities
Av
and
av,
there will exist, then,
(statistical) probabilities
dV
of the
form
dW
=
f(A1A2...o1o2...)dA1dA2...da1da2...
The
radiation is in the
most
disordered
state
imaginable when
f(A1,A2...a1,a2...)
=
A1(A1)F2(A2)...f1(a1).f2(a2)...
,
i.e.,
when
the
probability of
a
specific value
of
one
of the quantities
A
or
a
is
independent
of the values taken
by
the other
quantities
A
and
a,
re-
spectively.
Hence,
the
more
closely
fulfilled the condition that
the individ-
ual pairs of quantities
Av
and
av
depend
on
the emission
and
absorption
processes
of
particular
groups
of
resonators,
the closer
to
a
"most
disordered
state
imaginable"
the radiation is
to be viewed
in
our case.
[13]