HomeChemistry & MaterialsSteady-State Approximation: A → I → P Kinetics (2D)

Steady-State Approximation: A → I → P Kinetics (2D)

A 2D consecutive A → I → P reaction: individual molecules bounce and convert stochastically in a flat vessel you can pan and zoom, while the exact analytic solution, the textbook steady-state approximation and the state-space (slow manifold) trajectory are plotted side by side.

Chemistry & Materials2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version
2d-physical-chemistry-chemistry-2 ↗ Open standalone

A consecutive reaction A → I → P is one of the workhorses of physical chemistry, and the steady-state approximation (SSA) is the trick that turns its coupled differential equations into a usable rate law. This 2D simulator runs the reaction three ways at once: as a swarm of individual molecules bouncing in a flat vessel you can pan and zoom, each one flipping species according to a real first-order probability every frame; as the exact closed-form solution plotted against the textbook SSA prediction for the intermediate over time; and as a phase-space trajectory of [I] against [A] that shows the trajectory collapsing onto the SSA's straight-line "slow manifold" exactly when the theory says it should — and pulling away from it when it doesn't. Drag k₁ and k₂ apart or together and watch all three views respond together.

⚙ Under the hood

Watch a consecutive A → I → P reaction as individually-converting molecules bouncing in a flat vessel you can pan and zoom, while the exact analytic solution, the textbook steady-state approximation, and a phase-space "slow manifold" plot of [I] against [A] reveal exactly when d[I]/dt ≈ 0 holds and when it breaks down.

physical chemistryreaction kineticssteady-state approximationrate lawconsecutive reactions

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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