LEA AY AES 
ED — V) mes” Vn . 
N A 
For the frequency Sa of a deviating system we have 
EE We ac 0?y 
=e SION oa = = a FOOD) == = 
Sa = Se 261 1 (on, on, 0n, 
The probability of a system is proportional to £a, and the logarithm 
of thus defined probability is, as I formerly showed, equivalent to 
the entropy *). The difference of entropy of the stationary and the 
deviating state therefore amounts to 
R > Op ee, 
EE lan +..| 
or 
LS at ie eee 
Sen = pee UE ales oe eae aE TS 01,02) 
The energy taken by the transition can therefore be expressed by 
al > en on + ..2 De a 
HET, de TED On can 
The mean value of this energy is 
RT 
2N 
the absolute value being 
1 Dap dp 
2 = on DE Te iy | 
il ah 
2N A OU, ** On, On, 
RT 
Di / 
This result agrees with that found on p. 852 of the quoted communication. 
5. If yx is some observable quantity depending on the densities 
nj,..N,.-N,, in the elements Vj, then with the help of the given 
formula we can easily calculate the probability of a set of values 
Yr. and the mean squares of deviations. For ya we have 
(limiting ourselves for a moment to a single element and therefore 
omitting the index) 
Ox Ox x 
Ks Si No Sagres “at eer Rake 
and so we have 
1) Comp. Entropy and probability, Proceedings 1912 p, 840. 
