893 
But at all events in the case (c,) or (c,') we? (proportional to the 
temperature) will be very much greater than wu,’ (proportional to 
L, = E—A4). Both — temperature and kinetic energy in the neutral 
point — approach to 0, but the energy very much more rapidly to 
A (the constant zero-point energy of the attractive forces that finally 
remains) than the temperature to 0. 
The relations (d) and (e) now become: 
o—s' f m 43 EE f 
= Jip at = log eq: ; — VL 
l—o é af t, log 2p é 
so that for a value of /—o remaining finite, the distance o—s’ will 
not be very much smaller than /—o, unless again « is very much 
larger than f. The time ¢, approaches (logarithmically) to oo, while 
1 m 
at finite ¢, (== Vee the ratio ¢,:¢, will approach logarith- 
mically to 0. These relations are represented by the subjoined figure. 
Low Temperatures (ug small, p large). 
distances 
nmmr sm | 
€ bs! 
finite small 
times 
her Os aa Ae 
od 
6 é3 
great finite 
ig. 
As has been said both w,? and w,? approach to 0, and the reason 
that u’ (i.e. the temperature) does not remain finite at w,? = 0 
— since there isa finite increase of the square of velocity (originally = 0) 
in consequence of the attraction forces — but likewise approaches 
zero, lies in this that the time during which this increase takes place, 
approaches o (though it be logarithmically). In the neutral point 
the attraction is — 0; when the moving point has got somewhat 
outside the neutral point, there will therefore be only very slowly 
question of any action of a force (which then increases further 
linearly with the deviation x, see p. 1188 loc. cit.), hence of acce- 
leration. 
8. When we now proceed from wu to 7, and from u,’ to 
L,= E—A, we have therefore in the case of high temperatures 
rome M= */, 1," : 
