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In photosynthetic organisms, the energy of light during illumination isabsorbed by the antenna complexes, which is transmitted by excitons and iseither absorbed by the reaction centers (RCs), which have been closed in thisway, or emitted by fluorescence. The basic components of the dynamics of lightabsorption have been integrated into a simple model of exciton migration, whichcontains two parameters: the exciton hopping probability and the excitonlifetime. During continuous radiation with light the fraction of closed RCs,$x$, continuously increases and at a critical threshold, $x_c$, a percolationtransition takes place. Performing extensive Monte Carlo simulations we studythe properties of the transition in this correlated percolation model. Wemeasure the spanning probability in the vicinity of $x_c$, as well as thefractal properties of the critical percolating cluster, both in the bulk and atthe surface.

Statistics of percolating clusters in a model of photosynthetic bacteria