Dissipative mode

In the electromagnetic spectrum, the energy absorbed makes up the difference between two allowed energy states in the absorber. In the loss spectrum the frequency absorbed closely matches the frequency of dissipative modes of molecular motion in the sample. 

Therefore, when the wavevector of second sound is normal to the layers, it becomes a purely dissipative mode with a relaxation rate... 

With proper selection of the scattering geometry, the two dissipative modes can be observed separately and the decay time of the autocorrelation function equals the relaxation time of the chosen fluctuation mode. However, the... 

To simplify the notation, we shall hereafter consider the case of single dissipative mode in which the system-bath interaction assumes if == —QF [Eq. (2.1c)]. We can therefore omit the indexes a and 6, and let f] = 0 as well. It is worth to mention here that the parameters in J uj) of Eq. (2.24)... 

Now, we consider the influence of concentration dependences (Equation 12.50) on the dependence of the transformation front velocity on the initial supersaturation. Figure 12.10d presents the mentioned concentration dependences of the transformation front velocity as compared to the experimental line 1. Line 2 describes the dependence of the velocity on Cq taking into account all the energy dissipation modes using the approximation Equation 12.48. In the case when the approximation Equation 12.50 is employed, we obtain lines 3 and 4, getting closer to the experimental values. Here, line 3 was obtained at curve 4 at... 

The second term describes the system-bath coupling, written explicitly here for the case of single system dissipative mode, Q, through which the bath operator Fs acts on the system. While Qs is rather general and set usually to be dimensionless, the bath operator assumes a linear combination of bath harmonic oscillators, Fb = spectral density /(co), which must be an odd... 

GEOMETRIC DEFORMATION PLUS VARIOUS SUBSURFACE DISSIPATION MODE... 

Figure 2, The interactions between energy dissipation mode and polymer damage processes which reveal the basic mechanisms of wear.

These two low-frequency dissipative modes have also been experimentally observed and the theoretically predicted dispersion relations in bulk nematic liquid crystals (4.8) were confirmed [3,4]. 

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