Radiation damping

6 Radiation Damping. - Diffusion measurements by NMR have a wide range of uses in particular DOSY (Diffusion Ordered Spectroscopy) is a powerful method for the analysis of mixtures. As with many other NMR techniques. 

Although we usually make every effort to maximize the NMR signal in order to be able study small samples, there are occasions on which the signal is so strong 

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DIV.4. I. Prigogine and F. Henin, Radiation damping and the equation of motion in classical electrodynamics, Physica 27, 982-984 (1961). 

In Ref. 13, we have proved that the A transformation constructed is invertible for the classical model discussed in the previous section. Here, using the same system discussed in the previous section, we demonstrate the invertiblity of our transformation by a numerical calculation of the time evolution of the action variable J (f) for an initial condition where all the field actions are zero [20]. Due to radiation damping, J t) follows an approximately exponential decay. However, there are deviations from exponential in the exact evolution both at short and long time scales as compared with the relaxation time scale. In Fig. 1, we present numerical results. 

Entropy production during chemical change has been interpreted [7] as the result of resistance, experienced by electrons, accelerated in the vacuum. The concept is illustrated by the initiation of chemical interaction in a sample of identical atoms subject to uniform compression. Reaction commences when the atoms, compacted into a symmetrical array, are further activated into the valence state as each atom releases an electron. The quantum potentials of individual atoms coalesce spontaneously into a common potential field of non-local intramolecular interaction. The redistribution of valence electrons from an atomic to a metallic stationary state lowers the potential energy, apparently without loss. However, the release of excess energy, amounting to Au = fivai — fimet per atom, into the environment, requires the acceleration of electronic charge from a state of rest, and is subject to radiation damping [99],... 

Radiation damping is strongest when the probe is matched perfectly and has a very high Q factor (a very sharp tuning dip ), so one way to minimize it is to detune the probe a bit. 

A qualitative criterion to assess the extent of radiation damping may be derived[55] from the Larmor formula that estimates the energy radiated in terms of an electronic acceleration of magnitude a, for a period of time T,... 

If ETaij > E0, the energy of the electron, the effects of radiation damping will be appreciable. In the present instance the electron starts from rest and is acted upon by an applied force for an interval T. E0 therefore is the kinetic energy after acceleration, E0 m aT)2. The criterion then becomes... 

No record of any discussion of radiation damping based on the ontological interpretation could be found. One major simplification would be that in terms of this approach electrons in real stationary states have no kinetic energy and will be accelerated from rest. 

Wokaun, A., Gordon, J. P. and Liao, P. F. (1982). Radiation damping in surface-enhanced Raman-scattering. Phys. Rev. Lett. 48 957-960. 

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