DOC.
19
LECTURE ON FLUCTUATIONS
359
Doc.
19
Notes
for
a
Lecture
on
Fluctuations
[10
February
1911]
[p.
1]
[1]
[2]
[3]
Outline of
a
lecture
in
Leiden
S
=
k
lg
W Funct. determ
by
consid. two
indep. systems.
from
osmot.
pressure
and
gas
pressure
k
=
-
N
Equilibrium
of the
particle.
G
=
/excess/weight
b =
Gz
Gz to be
supplied W
=
-Gz
suppl.
entropy
=
- Gz/T
*
W
=
e
Probabil.
that the
particle is
shifted
upwards by
at least
z
dW
=
-dWdz
=
-e
*^dz
If
many
particles
NdW
=
dN
dz
kT
Derivation of the
law
of
Brownian motion.
[4]
G
1)
Gravitational
flow
dn
.
dt
6m\P