When presenting heterogeneous detrapping process at the DPG conference I got a question (or a suggestion to check) what would happen if instead of heterogeneous traps we would require multiple successes for the charge carrier to escape? In the previous post we have seen that this change makes relatively little difference when the detrapping times are exponential. But what if they are power-law? What if we require \( N_{success} \) successes within the heterogeneous detrapping process?

We previously delved into the statistical physics of birds on a wire, where the avian subjects, though sober, exhibited remarkably short tempers. Now, consider the following: which journey is more likely to be completed, that of a drunkard finding their way home or a tipsy bird navigating its flight path homeward? It's an intriguing question posed by Mathemaniac in a video that explores the theoretical disparities between Brownian motion in 2D and 3D realms, all without any harm to our feathered or human friends.

When presenting heterogeneous detrapping process at the DPG conference I got a question (or a suggestion to check) what would happen if instead of heterogeneous traps we would require multiple successes for the charge carrier to escape?

Like in the previous year, I gave another two lecture introduction to the agent-based modeling in socio- and econophysics. This time in English! Otherwise the changes to the slides and material itself are mostly visual in comparison to the last year slides.

You can find the slides here.

Earlier, we have explored how power-law distributed detrapping times lead to 1/f noise. Moreover, we have also established that power-law distribution can be obtained from the superposition of exponential distributions (see this post). Now, what implications does the synthesis of these findings hold?