2D Radioactive Decay — Stochastic Half-Life & Decay Chains

Each atom on the grid decays independently at random, with a per-step probability P = 1 − 2^(−dt/T½) derived directly from the chosen half-life — nothing here is a pre-scripted exponential curve. The live simulated population is plotted against the true N(t) = N₀·2^(−t/T½) closed-form curve so you can watch statistical noise settle around the textbook law as the sample grows or shrinks. Switch on decay chain mode to send every parent decay into a genuinely unstable daughter isotope with its own half-life, and compare its emergent population against the closed-form Bateman-equation solution for a two-step decay chain.