@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}
}
@article{KomarovGuptaPikovskij2014,
  author    = {Komarov, Maxim and Gupta, Shamik and Pikovskij, Arkadij},
  title     = {Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results},
  series = {epl : a letters journal exploring the frontiers of physics},
  volume    = {106},
  journal   = {epl : a letters journal exploring the frontiers of physics},
  number    = {4},
  publisher = {EDP Sciences},
  address   = {Mulhouse},
  issn      = {0295-5075},
  doi       = {10.1209/0295-5075/106/40003},
  pages     = {6},
  year      = {2014},
  abstract  = {We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies of oscillation. As particular cases, the setup includes previously studied Sakaguchi-Kuramoto, Hamiltonian and Brownian mean-field, and Tanaka-Lichtenberg-Oishi and Acebron-Bonilla-Spigler models. We derive an exact solution of the self-consistent equations for the order parameter in the stationary state, valid for arbitrary parameters in the dynamics, and demonstrate nontrivial phase transitions to synchrony that include reentrant synchronous regimes. Copyright (C) EPLA, 2014},
  language  = {en}
}