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1.8
1.6
1.4
1.2
1
0.8
0
0.2
0.4
0.6
0.8
1
1.2
1.4
T
1.8
1.6
1.4
1.2
1
0.8
0
0.2
0.4
0.6
0.8
1
1.2
1.4
T
Specic heat c V vs. temperature T for the homopolymer S 2 h
Fig. 6.8.
(left) and for the good
folder S 22
g
(right). The curves are a guide to the eye.
As to standard thermodynamic observables, all the sequences showed very simi-
lar behaviors: to give an example, in Fig. 6.8 we compare the specic heat c V of the
homopolymer S 22
h and of the good folder S 2 g : both exhibit a peak at the transition,
and on the sole basis of this picture it would be hard to discriminate between a
simple hydrophobic collapse and a folding. The same happens in the case of the
longer homopolymer S 46
h and the good folder S 4 g (data not shown). On the other
hand, a dramatic dierence between the homopolymers and the good folders shows
up if we consider the geometric properties of the landscape. In particular, a lot of
information appears to be encoded in the uctuations of the Ricci curvature K R ,
i.e., of the Laplacian of the potential energy|see Eq. (6.16). We dened a relative
adimensional curvature uctuation as
q
1
N (hK R i t hK R i t )
1
=
(6.25)
N hK R i t
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