If one cell faults, how long until conduction alone warms its neighbour?

A fault releases heat in the left-hand cell. Conduction alone carries a warm front across the gap, advancing as √(αt). The clock at the bottom runs for a fixed real time window, so raising the diffusivity makes the front arrive visibly sooner and lowering it can mean the front never reaches the neighbour inside the window at all. This is a diffusion-only baseline: no reaction heat, no venting, no phase change.

advancing thermal frontneighbouring cellelapsed-time clock

Diffusion-only baseline on a fixed observation window: the front follows the √(αt) law and arrival time scales as L²/α. Reaction heat, venting and phase change are deliberately excluded, so this model shows the conduction clock and nothing else.