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We found that fluctuations in the number of emitters lead to a super-thermalphoton statistics of small LEDs in a linear regime, with a strong emitter-fieldcoupling and a bad cavity favorable for collective effects. A simple analyticalexpression for the second-order correlation function g_2 is found. g_2 increaseup to g_2=6 in the two-level LED model is predicted. The super-thermal photonstatistics is related to the population fluctuation increase of the spontaneousemission to the cavity mode.

Population fluctuation mechanism of the super-thermal photon statistic of LEDs with collective effects