Markovian perturbation, response and fluctuation dissipation theorem

@article{Dembo2007MarkovianPR,
  title={Markovian perturbation, response and fluctuation dissipation theorem},
  author={Amir Dembo and Jean-Dominique Deuschel},
  journal={Annales De L Institut Henri Poincare-probabilites Et Statistiques},
  year={2007},
  volume={46},
  pages={822-852}
}
  • A. Dembo, J. Deuschel
  • Published 24 October 2007
  • Mathematics, Physics
  • Annales De L Institut Henri Poincare-probabilites Et Statistiques
Nous considerons le theoreme de fluctuation-dissipation de la mechanique statistique dans une approche mathematique. Nous donnons un concept formel de la reponse lineaire dans le cadre general de la theorie des processus de Markov. Nous demontrons que pour un processus hors d'equilibre celle ci depend non seulement du processus de Markov X(s) mais aussi de la perturbation choisie. Nous characterisons l'ensemble de toutes les reponses possibles pour un processus de Markov donne et demontrons qu… 
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