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Probabalistic Spin Glass (2022)
I summarize the 5 previous posts on probabilistic spin glasses.
My motivation for studying these systems was to discuss a toy model similar to spin glasses, but without having to introduce the Hamiltonian, so non-physicist readers can also follow along. At this point I wanted to be sure, so I verified that my construction process yields the correct $p$ probabilities within the grid (it does), so I used a MC simulation to plot the calibration curve: For low $p$s, it's hard to get away from $f=0.5$ and it seems it practically "never" happens, then at some critical $p$ it becomes "possible" or "likely", and in those cases I believe it creeps up to $f=1$, where it gets stuck (sticky ceiling) as I wrote earlier, probabilistically every configuration can go into any other configuration (assuming $0 < p < 1$), but I don't know how to express the apparent stickyness of the $f$ ceiling it's also not clear to me whether the critical $p$, if it exists, is the same for all grid sizes, and I just have to run the simulations longer to see the same behaviour, or it differs
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