Ostwald Ripening 2D: Nanocatalyst Sintering Simulator

This is the 2D counterpart to the 3D Ostwald-ripening simulator: a top-down bed of catalyst nanoparticles, each independently integrated under the mean-field Lifshitz–Slyozov–Wagner growth law with an Arrhenius temperature dependence for the underlying surface diffusivity. Small, sharply-curved particles sit at a higher Gibbs–Thomson chemical potential than large ones, so atoms diffuse away from them and redeposit on larger neighbors — the bed coarsens, small particles vanish, and the live size-distribution histogram widens and shifts rightward. A running r̄(t)³ readout makes the classic LSW t^(1/3) mean-radius growth law directly visible: it should climb in an almost straight line against elapsed time, while total particle mass (Σr³) stays conserved as the population thins out. Adjust temperature, surface energy, and starting particle density to see how quickly the bed coarsens and catalytic surface area is lost.