Neuronal Avalanches: Critical Brain Dynamics (2D)

This is the flat, square-lattice counterpart to the 3D cubic-lattice neuronal-avalanche simulator. Roughly 1,900 model neurons sit on a 2D grid with four nearest neighbours instead of six, running the same Beggs & Plenz branching-process rule: each firing neuron independently activates each quiescent neighbour with probability σ/k. Rather than only reading live numeric stats, this pair renders the grid alongside a continuously updating log-log histogram of completed avalanche sizes, so you can watch the power-law signature of criticality — the actual statistical fingerprint of the critical-brain hypothesis — take shape as you sweep σ across 1.0.