Intermediate diffusion, intermediate strength fields

If the field is of intermediate strength then the energy losses are due to both inverse Compton and synchrotron processes. With an intermediate diffusion coefficient the losses due to the local field and due to the average field are of similar magnitude. As discussed by Tribble (1993) the break frequency is only weakly dependent on the local field strength. This is because in a region of stronger field the increased gyration frequency compensates for the extra synchrotron losses. This compensation is not perfect, and it varies from place to place, but the result is that the image and its properties change with frequency less than the two other extreme cases considered in this paper.

Fig 3. A sequence of images of different frequencies (or times) of the synchrotron emission from the same magnetic field configuration for the intermediate field strength simulation with B = , equivalent to a diffusion model with D = 0.6.

For example, the images (Fig. 3) show only small changes as the emission ages, with only the highest frequency image being clearly different. Even here, some of the features present at low frequency are recognizable. A notable difference from the low field, high diffusion case is that the intensity histograms retain much the same shape as the source ages, which can be seen in the images as the character of the structure does not change much. In particular, the high frequency image does not have the isolated high intensity peaks on a low background that is found for the low field model.

Fig 4. Histograms of pixel intensity for the sequence of images in Fig. 3. Note that the shape of the histogram changes very little in this intermediate diffusion, intermediate field strength case.

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Peter Tribble, peter.tribble@gmail.com