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a
b
LCE2
ac
relaxation
20
3.0
5CB
ac
relaxation
15
N
PN
2.5
N
I
LCE1
ac
relaxation
10
5
2.0
307
308
309
-10
0
10
T (K)
T - T PN-N (K)
Fig. 5 C p ( T ) and C p,eff ( T ) profiles for the I-N transition of a pure 5CB liquid crystal (a) and
corresponding profiles for the PN-N transition of two liquid-crystalline elastomers, one with
below-critical (LCE1) and one with supercritical (LCE2) behaviour (b). Note that the data sets
in (b) have been shifted along the y -axis for clarity. The data are plotted versus T - T PN-N for a direct
comparison. T PN-N denotes the phase-transition temperature obtained from the C p data
C P ( T )
1 st order transition line
Widom line
Critical point
S ( T )
G
Fig. 6 T - G (temperature-field) phase diagram for a system that exhibits first-order transitions
( solid line ) that are terminated at a single critical point of the water-vapour type. The supercritical
evolution emanates further from the critical point along a Widom line ( dashed line ). The heat-
capacity C p and order-parameter S temperature profiles corresponding to different G values are
shown in the graph. The dotted lines represent the discontinuity in the C p ( T ) and S ( T ) profiles,
corresponding to the phase-coexistence region in which the latent heat is released
 
 
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