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Survival-Extinction Transition in Bacteria Growth

I study an ensemble of bacteria colonies. Finite-size colonies always die out. Their lifetime t1 is either size independent or exponentially increases with size. In the latter case, their lifetime mean quadratic fluctuation δt is large compared to their representative average lifetime t̄ = exp [⟨ln t1⟩], ⟨... ⟩ denotes the ensemble average. The extinction-survival phase transition from finite to infinite t̄ is accompanied by the phase transition. These results are common for spreading-percolation phenomena.