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1.4
1.3
1.2
1.1
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0
0.2
0.4
0.6
0.8
1
1.2
1.4
T
0.7
0.65
0.6
0.55
0.5
0.45
0.4
0.35
0.3
0.25
0
0.2
0.4
0.6
0.8
1
1.2
1.4
T
Relative curvature uctuation vs. temperature T for the homopolymer S 2 h
Fig. 6.9.
(left) and
for the good folder S 22
g
(right). The curves are a guide to the eye.
wherehi t stands for a time average: in Fig. 6.9 we plot as a function of the
temperature T for the homopolymer S 22
h and for the good folder S 2 g . A clear peak
shows up in the case of the good folder, close to the folding temperature T f below
which the system is mostly in the native state, while no particular mark of the hy-
drophobic collapse can be seen in the case of the homopolymer. A similar situation
happens for the longer sequences, the good folder S 46
g
and the homopolymer S 46
h
(Fig. 6.10).
The relative curvature uctuation of the energy landscape appears then to be
a good marker of the presence of a folding transition, at least in the simple model
considered here. We stress that the comparison between sequences of length 22 and
46 clearly indicates that the peak in is really related to the folding and not to the
hydrophobic collapse, because for the long homopolymer S 46
h
is even smoother
than in the case of the short homopolymer S 22
h
, at variance with the specic heat
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