Temporal scaling frequency dependences from

In this equation q is the offset from the ordering wavevector, where the frequency half width is Tq, and and are its parallel and perpendicular components in the spirit of the previous discussion. What this equation implies is a direct relationship between the temporal and spatial fluctuations - we call this a scaling relationship. The measured frequency half-width depends solely on the offset in reciprocal space, q, and its directional components. Furthermore, according to critical theory, Co(T) x r where A 1.5 for the 3D Heisenberg model. 

Although consideration of all these quantities for as many excitation frequencies as possible gives a detailed overview of the whole dissociation process, its actual time-dependence can only be inferred in an indirect way in a traditional experiment the pulse length of the excitation laser exceeds the typical time-scale for molecular motion by orders of magnitude so that it is inherently impossible to resolve the temporal behavior of the state of the molecule. Only when lasers with pulse lengths in the sub-picosecond region became available did it become possible to study directly, by means of pump-probe experiments, the evolution of the molecule from the point of excitation, through the transition state, into products. " ... 

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