Time evolution of scattering curves

Figures 8a and b exhibit the time-evolution of scattering curves obtained during a T (temperature)-jump from room temperature to 44°C. The scattering maximum first appears around q=3.1 /tm i and remains stationary for some period, then shifts rapidly to low scattering wave numbers, indicating the nonlinear nature of phase separation in the 10 wt7. HPC solution. The early period of phase separation, at which the peak is virtually invariant, is less obvious at higher T-jumps. Hence, it does not represent the general characteristics of phase separation. In the reverse quench case from 45 to 43°C in Figure 9, the scattering maximum decays with elapsed time without any movement of its position.

Figure 8. Time-evolution of scattering curves during phase segregation of the lOX HPC-L solution following a T-jump from 23 to 44 C (a) early period (80 - 94 s) and (b) late stages (94 -256 s).

Fig. 7.17 Time evolution of the nuclear forward scattering for metallic Ni foil. All measurements except for the upper curve were performed with external magnetic field B = 4 T. The solid lines show the fit. The arrows emphasize stretching of the dynamical beat structure by the applied magnetic field. The data at times below 14.6 ns had to be rescaled (from [34])...

Fig. 2.2. Two generation models of coherent optical phonons, (a), (c), (e) impulsive stimulated Raman scattering (ISRS). (b), (d), (f) displacive excitation of coherent phonons (DECP). Graphs (e) and (f) display the time evolution of the driving force (grey areas) and that of the displacement (solid, curves) for ISRS and DECP, respectively...

Let us briefly comment on the relation between the quantum mechanical field-assisted scattering process and its treatment within the classical limit. Therefore, a classical trajectory (R(t)) is determined in the presence of the LCT field-derived quantum mechanically, where the initial condition is defined by the average position and momentum of the initial wavepacket (Eq. (25)). The time evolution of this trajectory is compared to the coordinate expectation value in the lower panel of Fig. 11. It is seen that the trajectory is trapped by the field interaction, leading to a classical vibration at a smaller total energy (0.102 eV as compared to E g = 0.113 eV). Deviations in the two curves are to be expected and arise from the spatial extent of the wavepacket. Here, we encounter a first example for the qualitative relation between quantum and classical dynamics in the case of local control. 

Rg. 4-S. Time evolution of the scattering curves of SS-121 latex dispersed in a water-ethanol mixture. The curves 1,2, and 3 were taken at 1 week, 2 weeks, and 4 weeks after simple preparation, respectively. Curves 2 and 3 were shifted vertically by an order of 10. Latex concentration = 3.7 vol.%. Water ethanol = 3 2 in volume. Accumulation time = 30 s for each point. Taken from [53], Proc. of the National Academy of Sciences, USA... 

Fig. 7 Evolution of the light scattering intensity for PFS54-6-PDMS945 solutions at 1.0mg/mL in -hexane and in benzene (the dashed curve is used as a guide for the eyes). The measured intensity for each solution in hexane was divided by the measured intensity of the solution in benzene aged for an identical time. The inset shows the evolution of intensity over the first 60 min...

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