FIG. 7.

Relaxation of the pseudo-first order reversible reaction A + B⇆C with [B] ≫ [A] compared between numerical simulations and multiple theoretical predictions. R(t) = [A(t) − A_eq]/[A₀ − A_eq]. Cyan curves are solutions using RD with the correct GF used to select radial separations after collisions. Red curves are solutions using the FPR algorithm. The long time asymptotic power-law behavior is shown in dashed gray, and the increasingly accurate approximations from LESA²⁸ and SCRTA²⁹ are shown in green and black dashed, respectively. The MRE solution is shown in blue dots, which uses Smoluchowski theory and therefore cannot reproduce the power-law approach to equilibrium. For all cases, k_a = 100 μm²/s, k_b = 10⁶ s⁻¹, D_B = 2 μm²/s, and D_A = 0, σ = 1 nm and V is in nm².