DOC.
10
COMMENTS ON
P.
HERTZ'S PAPERS
315
176 A. Einstein.
Bemerkungen usw.
anspruchen
dürfte, will
ich
an
dieser Stelle nicht weiter
darauf
eingehen.
Ich
bemerke
nur
noch,
daß
der
von
Gibbs
in seinem Buche
eingeschlagene Weg,
der
darin
besteht,
daß
man gleich von
einer kanonischen
Gesamtheit
ausgeht,
nach
meiner
Meinung,
dem
von
mir
eingeschlagenen
vorzuziehen
ist. Wenn mir das
Gibbssche
Buch damals bekannt
gewesen [7]
wäre,
hätte
ich
jene
Arbeiten
überhaupt
nicht
publiziert,
sondern mich
auf
die
Behandlung einiger weniger
Punkte
be-
schränkt.
[8]
Zürich,
Oktober 1910.
(Eingegangen
30. November
1910.)
Published in Annalen
der
Physik
34
(1911):
175-176. Dated
Zurich,
October
1910,
received 30
November
1910,
published 30
December
1910.
[1]Einstein
1902b
(Vol.
2,
Doc.
3),
p. 425;
Einstein
1903
(Vol.
2,
Doc.
4),
p.
176.
The order of
Einstein's footnotes is
reversed;
this should
be
fn. 2.
[2]Hertz,
P.
1910a.
This should be
fn. 1.
[3]The discussion
apparently
took
place
sometime between
4
and
7 September
1910,
in
Basel,
during
a
meeting
of the
Schweizerische
Naturforschende
Gesellschaft, at
which Einstein
delivered
a
lecture
on
6
September; see
Einstein
to
Paul
Hertz,
14 August
1910
and
26
August
1910. Before
submitting
the
manuscript
of
this
paper to
the
Annalen,
Einstein
sent
it
to Hertz,
to be
sure
that
he
was
in
agreement;
see
Einstein
to
Jakob
Laub, 4
November
1910.
[4]See Hertz, P. 1910a
(which
was
published
in two
parts),
p.
552.
The derivation mentioned
is
found
in
Einstein
1903
(Vol.
2,
Doc.
4),
pp.
182-187. Hertz
questioned
Einstein's
assumption
that
more
probable state
distributions
always
follow less
probable ones.
[5]For Einstein's second
derivation, see
Einstein
1904
(Vol. 2,
Doc.
5),
pp.
355-357;
it
is also
mentioned
in Hertz, P. 1910a
on p.
552.
[6]See Hertz, P.
1910a, pp.
247-249. Hertz
questioned
Einstein's
justification
for what Hertz
dubbed the
"separability principle" ("Trennungssatz"),
the assertion that after
a
composite
system
£
is separated
into
two parts,
E1
and
£2,
h
=
h1
=
h2, where,
in
modern
notation,
h
=
1/(2kT).
In
a
footnote to
a
paper
dated
21
November
1910 (Hertz, P.
1910b, p. 824, fn.
1)
Hertz himself
notes
that
his
criticism
was
based
on a
misunderstanding.
See
also
Hertz,
P.
1913
for
a
more
detailed
exposition.
[7]Gibbs
1902,
1905.
The
starting point
of Einstein's
approach was,
in Gibbs's
terminology,
the microcanonical
ensemble;
see, e.g.,
Einstein
1902b
(Vol.
2,
Doc.
3), §2.
[8]For
a
discussion of Einstein's
acquaintance
with Gibbs's
work,
see
Vol.
2,
the
editorial
note,
"Einstein
on
the Foundations
of
Statistical
Physics,"
p.
44.
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