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Universal intermittent dynamics in a random catalytic reaction network,induced by smallness in the molecule number is reported. Stochastic simulationsfor a random catalytic reaction network subject to a flow of chemicals showthat the system undergoes a transition from a stationary to an intermittentreaction phase when the flow rate is decreased. In the intermittent reactionphase, two temporal regimes with active and halted reactions alternate. Thenumber frequency of reaction events at each active regime and its duration timeare shown to obey a universal power laws with the exponents 4/3 and 3/2,respectively. These power laws are explained by a one-dimensional random walkrepresentation of the number of catalytically active chemicals. Possiblerelevance of the result to intra-cellular reaction dynamics is also discussed.

Discreteness-Induced Criticality in Random Catalytic Reaction Networks