Glass transition lines

The denominator in Equation 24.19 is evaluated along the glass transition line, Tg P), so that... 

In determining the dynamic structure factor, the value of Do (7o) is needed to be specified. Here the decoupling is studied as a function of the change of density. A noticeable long-time tail in density relaxation appears only very near to the glass transition line. This makes the choice of 7o or p0 rather easy. It is found that, for the reduced temperature, T = 0.8, the reduced density is 0.91. 

However, the precise location of the decomposition and glass transition lines may depend upon pyrolysis conditions because kinetic factors such as gas flow rate, stirring conditions, heating rate, etc., all affect the relative extents to which evaporation and cracking reactions contribute to the change in composition. 

The -model possesses a line of glass transitions where the long time limit f = jumps discontinuously it obeys the equivalent equation to (21). The glass transition line is parameterized by (vJ, V2) = ((2A — with 0.5 < A < 1, and... 

The thermal properties of ice cream, such as the heat capacity and the thermal conductivity, are important for several reasons. Parameters of the production process, such as the length of time required to harden the ice cream, depend on the thermal properties, as does the rate at which ice cream warms up and melts. This is important in storage and distribution and also when the ice cream is consumed. It should not melt so rapidly that it falls off the stick before it can be eaten. The thermal properties also affect the sensory properties such as the perception of coldness in the mouth. Furthermore, the freezing point and glass transition lines on the phase diagram, and the ice curve, are obtained from measurements of the thermal properties. The main techniques for measuring the thermal properties are calorimetry, conductivity measurements, thermal mechanical analysis and meltdown. 

Onr findings are in qualitative agreement with MCT predictions [22] the repulsive glass transition lines for 8 = 0.08 and 8 = 0.059 coincide the attractive line of the smaller 8 is shifted to higher attraction strength and is almost parallel to the one at larger 8. However, there is a remarkable quantitative disagreement between theoretical and experimental values. The observed maximum shift of... 

This determines the glass transition line in the softness-concentration state space [i.e., in the ( x, <1) plane)]. By observing this glass transition phase diagram, the value of p, whose glass transition volume fraction (J) coincides with the experimentally reported value of 0.644, it was concluded that... 

On crossing a glass transition line the viscous fluid changes to a solid that deforms in an elastic manner. The frequency-dependent storage or elastic shear modulus G ((0), which vanishes in the low-frequency limit when the dispersion is in a fluid state, acquires a plateau at low frequencies G (co 0) = G. The shear modulus G, namely, the elastic constant of the glass, is another quantity that picks up the difference between the glass formation mechanisms. 

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