DOC.
32
187
fOO
^(A)/A =
*(A).
The number
of
system-points
traveling toward
the
negative
side
on
account of
the
random
thermal
process
is
n3
"
-00
F(*Q
+
A)X(A)/A
The
mathematical
expression
for the invariability
of
the
function
F
is
thus
u^
"f*
-
0
•
If
we
substitute the
expressions found
for
n1,
n2,
n3,
and
take into
account
that
A
is
infinitesimally
small,
and
that
U(A)
differs
from
zero
only
for
infinitesimal values of
A, we
obtain after
simple
calculation
B
7Ja
Here
5®
-
™+00
-00
A2^(A)dA
denotes the
mean
of the
squares
of the
changes
of
the quantities
a
produced
by
the
irregular
thermal
process during
time
t.
From
this relation
we
obtain, if
we
take into consideration
equation
(Ia),
(II)
S*
=
Here
R
denotes the
constant
of
the
gas
equation (8.31-107),
N
the
number
of
true
molecules
in
a
gram-molecule
(about
4-1023),
B
the
"mobility
of
the
system
with
respect to
the
parameter
a,"
T
the absolute
temperature, and t
the time within
which the
changes
in
a
produced
by
the
random
thermal
process
take place.
[21]
[22]