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One possible framework to interpret the irreversibility transition observedin periodically driven colloidal suspensions is that of a non-equilibrium phasetransition towards an absorbing reversible state at low amplitude of thedriving force. We consider a simple numerical model for driven suspensionswhich allows us to characterize in great detail a large body of physicalobservables that can be experimentally determined to assess the existence anduniversality class of such a non-equilibrium phase transition. Characterizingthe behaviour of static and dynamic correlation functions both in real andFourier space we determine in particular several critical exponents for ourmodel, which take values that are in good agreement with the universality classof direct ed percolation. We also provide a detailed analysis ofsingle-particle and collective dynamics of the system near the phasetransition, which appear intermittent and spatially correlated over divergingtimescales and lengthscales, and provide clear signatures of the underlyingcriticality.

Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions