A portion of the second-order transition line is masked by a

first-order transition line.

The

first-order transition matrix is denoted as Trans1(t - 1, t).

For more details, the dashed line stands for crossover transition and the solid one the

first-order transition. CEPs are shown as star points.

The topics include a critical assessment of the random

first-order transition theory of glasses, the dielectric spectroscopy of glassy dynamics, glassiness in uniformly frustrated systems, dynamics in the crossover region of supercooled liquids, and glassy dynamics of proteins.

In a

first-order transition, such as the freezing of water when chilled, the jump from one state to the other is discontinuous.

The blends showed a single glass transition and no sign of a

first-order transition associated with the solid crystal-nematic phase transition of the LCP.

The

first-order transition seen in the M(T) curves for x = 0.02 was further confirmed by the observed endothermic and exothermic peaks in the DSC data (see Figure 4).

In fact, this behavior will break for there is a

first-order transition, which is similar to the Hawking-Page thermodynamic transition in [49].

This is an important result for assessing future technological applications, since there is a definite limit, by virtue of being a

first-order transition, to which the materials properties can be tailored to achieve the highest critical currents.

In [8], it was shown that with the increase of [rho] the

first-order transition of the chiral and diquark gaps becomes crossover through a second-order phase transition.

For instance, the various liquid-gas transitions are classified as

first-order transitions because they involve a discontinuous change in density, which is the (inverse of the) first derivative of f with respect to pressure.

The space groups of the ordered [Ca.sub.4][Nb.sub.2][O.sub.9] polymorphs (deduced from electron diffraction data) do not exhibit group/subgroup relations, and, therefore, phase transitions between them must be

first-order transitions.