Antenna systems serve to absorb light and to transmit excitation energy to the reaction center (Rc) in photosynthetic organisms. As the emitted (bacterio)chlorophyll fluorescence competes with the photochemical utilization of the excitation, the measured fluorescence yield is informed by the migration of the excitation in the antenna. In this work, the fluorescence yield concomitant with the oxidized dimer (p +) of the RC were measured during light excitation (induction) and relaxation (in the dark) for whole cells of photosynthetic bacterium Rhodobacter sphaeroides lacking cytochrome c 2 as natural electron donor to p + (mutant cycA). The relationship between the fluorescence yield and p + (fraction of closed RC) showed deviations from the standard Joliot-Lavergne-Trissl model: (1) the hyperbola is not symmetric and (2) exhibits hysteresis. These phenomena originate from the difference between the delays of fluorescence relative to P + kinetics during induction and relaxation, and in structural terms from the non-random distribution of the closed Rcs during induction. the experimental findings are supported by Monte Carlo simulations and by results from statistical physics based on random walk approximations of the excitation in the antenna. The applied mathematical treatment demonstrates the generalization of the standard theory and sets the stage for a more adequate description of the long-debated kinetics of fluorescence and of the delicate control and balance between efficient light harvest and photoprotection in photosynthetic organisms. Photosynthesis is responsible for the genesis, development and regulation of vast majority forms of life on the Earth by using the ultimate free energy source of the sun. The conversion of (sun)light to chemical energy is initiated by the absorption of the photons in the closely packed network of protein-pigment complexes (antenna) followed by funneling of the excitation energy (exciton) to a specially organized (B)Chl dimer (P) in the reaction centers (RC) 1. Here an electron is stripped from P (P→P +) converting the energy of the exciton into chemical (redox) energy of P/P +. The electron is transferred via the primary quinone acceptor Q A to the secondary quinone acceptor Q B producing a series of transient charge separated states (P + Q-). While Q A can accept one electron only, Q B performs two-electron chemistry: by binding two protons and forming reduced quinone QH 2 , it is exchanged for an oxidized quinone from the quinone pool in the membrane 2-4. To describe the functional cooperation of the antenna pigments in light collection, the loose concept of the photosynthetic unit (PSU) was introduced 5. According to the present knowledge, the structure of the PSU of photosynthetic bacteria can be identified as the core complex including the photochemical RC and the closely attached light-harvesting (core) antenna (LH1, B870 in Rhodobacter (Rba.) sphaeroides) together (if exists) with the peripheral antenna (LH2, B800-850 complex in Rba. sphaeroides) loosely arranged in ...