Fast Isothermal Energy Relaxation

The latter equation is obviously that of isothermal concentration kinetics, where the operators M, AD, and X, are obtained by averaging operators M, AD, and X over E with the equilibrium distribution function 4 co(E). Equation (8.3.5) is of importance for the thin film growth kinetics. 

The following vaiuants of isothermal kinetics are possible, depending on the relations between corresponding relaxation times e 1)  

The evaluation of the higher order terms of fc expansion, and the expansion of solutions to (8.3.7) - (8.3.9) over small parameter can be done in a standard way using the themy of singularly perturbed equations (Kolesnichenko 1986). 

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Non-linear optics probe molecules dispersed in PS [59] revealed that below Tg the relaxation time T follows the Arrhenius form with activation energies of 45 - 50 kcal/(mol K), or 188 -209 kJ/(mol K). Similar relaxation has been found in labeled PS [60], Other non-linear optical probe molecules have much longer decay time ( days) [61], Relaxation of poled order in dye doped PS was probed by isothermal and non-isothermal current measurements [62], Neutron scattering revealed that the fast process of phenyl rings starts at 200 K, and main chain starts at 250 K [63], The relaxation of the segmental alignment dichroism of cold rolled PS at 60 °C can be fitted by two single exponential functions of time with RT s of 76 s and 3600 s [39],... 

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