@article{RuffoPikovskij1999,
  author    = {Ruffo, Stefano and Pikovskij, Arkadij},
  title     = {Finite-size effects in a population of interacting oscillators},
  year      = {1999},
  abstract  = {We consider a large population of globally coupled noisy phase oscillators. In the thermodynamic limit N this system exhibits a nonequilibrium phase transition, at which amacroscopic mean field appears. It is shown that for large but finite system size N the system can be described by the noisy Stuart-Landau equation, yielding scaling behavior of statistical characteristics of the macroscopic mean field with N. The predictions of the theory are checked numerically.},
  language  = {en}
}
@article{PikovskijGuptaTelesetal.2014,
  author    = {Pikovskij, Arkadij and Gupta, Shamik and Teles, Tarcisio N. and Benetti, Fernanda P. C. and Pakter, Renato and Levin, Yan and Ruffo, Stefano},
  title     = {Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {90},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  number    = {6},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {1539-3755},
  doi       = {10.1103/PhysRevE.90.062141},
  pages     = {5},
  year      = {2014},
  abstract  = {We explore ensemble inequivalence in long-range interacting systems by studying an XY model of classical spinswith ferromagnetic and nematic coupling. We demonstrate the inequivalence bymapping themicrocanonical phase diagram onto the canonical one, and also by doing the inverse mapping. We show that the equilibrium phase diagrams within the two ensembles strongly disagree within the regions of first-order transitions, exhibiting interesting features like temperature jumps. In particular, we discuss the coexistence and forbidden regions of different macroscopic states in both the phase diagrams.},
  language  = {en}
}