Effect of long range spatial correlations on the lifetime statistics of   an emitter in a two-dimensional disordered lattice
  The effect of spatial correlations on the Purcell effect in a bidimensional dispersion of resonant nanoparticles is analyzed. We perform extensive calculations on the fluorescence decay rate of a point emitter embedded in a system of nanoparticles statistically distributed according to a simple 2D lattice-gas model near the critical point. For short-range correlations (high temperature thermalization) the Purcell factors present a long-tailed statistic which evolves towards a bimodal distribution when approaching the critical point where the spatial correlation length diverges. Our results suggest long-range correlations as a possible origin of the large fluctuations of experimental decay rates in disordered metal films. 
N. de Sousa, J.J. S\'aenz, A. Garc\'ia-Mart\'in, L.S. Froufe-P\'erez,   M.I. Marqu\'es
physics.optics